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			<titleStmt><title level='a'>Charge transfer in (PbSe) &lt;sub&gt;1+&lt;i&gt;δ&lt;/i&gt;&lt;/sub&gt; (NbSe &lt;sub&gt;2&lt;/sub&gt; ) &lt;sub&gt;2&lt;/sub&gt; and (SnSe) &lt;sub&gt;1+&lt;i&gt;δ&lt;/i&gt;&lt;/sub&gt; (NbSe &lt;sub&gt;2&lt;/sub&gt; ) &lt;sub&gt;2&lt;/sub&gt; ferecrystals investigated by photoelectron spectroscopy</title></titleStmt>
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				<publisher></publisher>
				<date>02/07/2018</date>
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				<bibl> 
					<idno type="par_id">10066365</idno>
					<idno type="doi">10.1088/1361-648X/aaa212</idno>
					<title level='j'>Journal of Physics: Condensed Matter</title>
<idno>0953-8984</idno>
<biblScope unit="volume">30</biblScope>
<biblScope unit="issue">5</biblScope>					

					<author>Fabian Göhler</author><author>Gavin Mitchson</author><author>Matti B Alemayehu</author><author>Florian Speck</author><author>Martina Wanke</author><author>David C Johnson</author><author>Thomas Seyller</author>
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			<abstract><ab><![CDATA[Rotationally disordered, layered (PbSe) 1+δ (NbSe 2 ) 2 and (SnSe) 1+δ (NbSe 2 ) 2 ferecrystal heterostructures, consisting of stacked two-dimensional bilayers of either PbSe or SnSe alternating with two planes of NbSe 2 , were synthesized from modulated elemental reactants. The electronic structure of these ternary systems was investigated using x-ray photoelectron spectroscopy and compared to the binary bulk compounds PbSe, SnSe and NbSe 2 . The Pb and Sn core level spectra show a significant shift towards lower binding energies and the peak shape becomes asymmetric in the ferecrystals, while the electronic structure of the NbSe 2 layers does not change compared to the bulk. This is interpreted in terms of an interlayer interaction in the form of a charge transfer of electrons from PbSe or SnSe into the NbSe 2 layers, which is supported by valence band spectra and is consistent with prior results from transport measurements.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Two-dimensional materials have been in the focus of the scientific community ever since the groundbreaking work on graphene by Novoselov and Geim <ref type="bibr">[1]</ref>. In recent years, the stacking of two dimensional sheets into so-called van-der-Waals heterostructures has become an emerging field, and is a powerful concept to create new materials <ref type="bibr">[2]</ref><ref type="bibr">[3]</ref><ref type="bibr">[4]</ref><ref type="bibr">[5]</ref><ref type="bibr">[6]</ref><ref type="bibr">[7]</ref><ref type="bibr">[8]</ref>. Researchers have discovered that properties can be controlled by controlling nanoarchitecture. The layering sequence, layer thicknesses, choice of constituents, and substrate all can be used to tune both structure and properties <ref type="bibr">[9]</ref>. For example, graphene films on hexagonal boron nitride substrates have much larger carrier mobility than when they are on silicon oxide substrates <ref type="bibr">[10]</ref><ref type="bibr">[11]</ref><ref type="bibr">[12]</ref>. FeSe monolayer films deposited on strontium titanate have enhanced superconducting critical temper atures due to charge transfer from the substrate <ref type="bibr">[13]</ref>, and borophene monolayers on a silver substrate exhibited metallic behavior unique from the semiconducting behavior of other boronbased allotropes <ref type="bibr">[9]</ref>. The designed self-assembly of vander-Waals heterostructures from amorphous modulated precursors has recently been demonstrated for VSe 2 -GeSe 2 heterostructures <ref type="bibr">[14]</ref>. The structures of rock salt-like 2D layers have also been found to vary systematically with thickness and also with the dichalcogenide constituent they are layered with in heterostructures <ref type="bibr">[15]</ref><ref type="bibr">[16]</ref><ref type="bibr">[17]</ref>. These van-der-Waals mat erials are synthesized from amorphous modulated precursors and have been termed ferecrystals due to their extensive turbostratic disorder <ref type="bibr">[18]</ref>. Low-dimensional systems like these provide unique opportunities to put atoms in unusual bonding arrangements, resulting in optimized and/or emergent physical properties.</p><p>Ferecrystals consist of stacked two-dimensional layers of metal chalcogenides MX and transition metal dichalcogenides TX 2 . Here, M is a metal of group 14 or 15 of the periodic table (e.g. Pb, Sn or Bi), T is a transition metal (e.g. Ti, V, Nb, Ta etc.) and X is a chalcogen (either S, Se or Te). The general formula of ferecrystals is [(MX) 1+&#948; ] m (TX 2 ) n , where m and n are integers corresponding to the number of layers, and &#948; is the so-called misfit parameter due to the different lattice constants a MX and a TX2 (see figure <ref type="figure">1</ref>) of the MX and TX 2 sublattices <ref type="bibr">[18]</ref>. Individual layers show strong intralayer bonding and there are only weak interlayer interactions to hold the layers together. Both of the two sublattices retain a lot of structural features from the corresponding bulk materials. The MX layers show a distorted rocksalt structure, where the metal atoms M move out of plane with respect to the X atoms and closer to the neighboring TX 2 layers (which is generally called 'puckering'). In the TX 2 layers, a layer of transition metal atoms is sandwiched between two layers of chalcogen atoms in either a trigonal-prismatic or octahedral coordination, depending mostly on the transition metal (figure <ref type="figure">1(a)</ref>).</p><p>Ferecrystals are closely related to the class of misfit layered compounds (MLCs) <ref type="bibr">[20,</ref><ref type="bibr">21]</ref>, but show some distinct structural differences and a much broader range of possible compositions due to their unique low-temperature self-assembled preparation (see section 2). In ferecrystal synthesis, the number of stacked individual layers m and n can be controlled independently, and values as large as 30 have been reported <ref type="bibr">[16]</ref>. Products that are only kinetically stable, like the telluride ferecrystals <ref type="bibr">[22]</ref> and those containing MoSe 2 and WSe 2 <ref type="bibr">[23]</ref><ref type="bibr">[24]</ref><ref type="bibr">[25]</ref>, can be prepared as well as polymorphs of conventional MLCs and a virtually unlimited number of structural isomers <ref type="bibr">[26]</ref>. While MLCs show an epitaxial relationship between the individual layers with a commensurate in-plane axis (labeled b in figure <ref type="figure">1(b</ref>)) <ref type="bibr">[20]</ref>, in ferecrystals no such relationship exists and individual layers and individual grains show extensive rotational disorder along the c-axis of the crystal (figure <ref type="figure">1(c</ref>)) <ref type="bibr">[27]</ref>. This rotational (or turbostratic) disorder leads to significantly lowered cross-plane thermal conductivity which may be useful for thermoelectric applications <ref type="bibr">[24,</ref><ref type="bibr">25,</ref><ref type="bibr">28]</ref>. Studies comparing ferecrystals to their epitaxial counterparts usually find differing physical properties <ref type="bibr">[19,</ref><ref type="bibr">29,</ref><ref type="bibr">30]</ref>.</p><p>With the structure of the layers in the heterosystem being close to the corresponding bulk material, it is expected that also the electronic structures remain largely conserved <ref type="bibr">[18]</ref><ref type="bibr">[19]</ref><ref type="bibr">[20]</ref><ref type="bibr">[21]</ref>. Thus, ferecrystals (as well as MLCs) are often described in the framework of a rigid band model, where the electronic structure (density of states) of the intergrowth is approximated by a superposition of the electronic structures of the MX and TX 2 components. The conduction is dominated by the TX 2 layers <ref type="bibr">[31]</ref>.</p><p>Changes in the electronic structures of the single components may then arise in the form of band filling due to charge transfer from one layer to another. Alemayehu et al <ref type="bibr">[32]</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref><ref type="bibr">[35]</ref> observed in their transport measurements that the electrical resistivity increases and the carrier concentration decreases in [(MSe) 1+&#948; ] m (NbSe 2 ) n ferecrystals, where M is either Pb or Sn, if m is increased. They conclude that electron transfer occurs from the MSe layers to the NbSe 2 layer, which reduces the carrier concentration in the NbSe 2 layer. The charge carrier concentration increases if n is increased, supporting the idea that conduction is dominated by the dichalcogenide layers <ref type="bibr">[36]</ref>. A proposed band alignment is shown in figure <ref type="figure">2</ref>. If the Fermi energy E F is lower in NbSe 2 than in PbSe, electrons can be transferred into the half-filled Nb4d band of NbSe 2 <ref type="bibr">[32]</ref>. Studies on structural isomers show that there is a functional separation of the constituent layers, with MSe serving as a charge donating layer and NbSe 2 with its high mobility as a transport layer <ref type="bibr">[37]</ref>.</p><p>Charge transfer was also suggested as a potential reason for the stability of MLCs. As summarized by Wiegers <ref type="bibr">[38]</ref>, electrons are donated from the MX into the TX 2 layer in MLCs where M is a rare earth metal. However, there was some controversy if charge transfer also takes place, if one looks at MLCs where M is a divalent cation (Sn or Pb) and T = Ti, Nb or Ta. From photoelectron spectroscopy, Ettema et al <ref type="bibr">[39,</ref><ref type="bibr">40]</ref> concluded that little or no charge transfer occurs, but instead there is covalent interlayer bonding. Ohno <ref type="bibr">[41,</ref><ref type="bibr">42]</ref> reported evidence for charge transfer based on x-ray photoelectron spectroscopy (XPS) valence band spectra for (PbS)1+&#948;TiS2 and (SnS) 1+&#948; NbS 2 . Fang et al <ref type="bibr">[43]</ref> concluded from photoelectron spectroscopy results and bandstructure calculations that there is a small charge transfer as well as covalent interlayer bonding in (SnS) 1+&#948; NbS 2 . In addition, Mo&#235;lo and Meerschaut et al <ref type="bibr">[44,</ref><ref type="bibr">45]</ref> claimed that interlayer charge transfer is the result of a T for M substitution in the MX layers based on invest igations with electron probe microanalysis. Brandt et al <ref type="bibr">[46]</ref> used angle resolved photoelectron spectroscopy (ARPES) to compare the misfit compound (PbS) 1.14 NbS 2 to the layered dichalcogenide NbSe 2 and found evidence for interlayer charge transfer, but they also see a difference in band dispersions and thus question the validity of a strict rigid band model. They followed up with an ARPES study that supported the occurence of charge transfer in (PbS) 1.18 (TiS 2 ) n where n = 1 and 2 <ref type="bibr">[47]</ref>. Kall&#228;ne et al <ref type="bibr">[48]</ref> used photoelectron microspectroscopy to investigate the misfit layer compound (PbS) 1.13 TaS 2 . Their spectra show two components each for the Pb and Ta core levels. They conclude that there is a metal cross substitution of Ta atoms into the PbS layers and Pb atoms into the TaS 2 layers that stabilizes the MLC. Photoelectron spectroscopy data from the ferecrystal heterostructures presented here show clear evidence for interlayer charge transfer without signs of a metal cross substitution (section 3).</p><p>A deeper understanding of the interactions between the individual layers is crucial, if one wants to systematically control the properties of these newly designed materials. The results presented here are the first direct investigation of the electronic structure of ferecrystals using XPS. (PbSe) 1+&#948; (NbSe 2 ) 2 and (SnSe) 1+&#948; (NbSe 2 ) 2 ferecrystals were investigated. Ferecrystals with m = 1 and n = 2 were chosen to keep the systems and results relatively simple. The binding energies of the Pb (or Sn), Nb and Se core levels were measured and compared to those of the respective binary bulk compounds PbSe, SnSe and NbSe 2 . If a charge transfer takes place, it should be directly visible in a change in core level binding energy. In addition, valence band spectra were taken and modeled as a superposition of the bulk constituents.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Experimental details</head><p>(PbSe) 1+&#948; (NbSe 2 ) 2 and (SnSe) 1+&#948; (NbSe 2 ) 2 ferecrystals as well as PbSe, SnSe and NbSe 2 binary bulk compounds were synthesized from amorphous, modulated precursors via the modulated elemental reactants (MER) technique developed by Johnson and co-workers <ref type="bibr">[49,</ref><ref type="bibr">50]</ref>. To form the targeted compound with specific m and n values, a multi-layered precursor with calibrated layer thicknesses is prepared via sequential physical vapor deposition of amorphous elemental M, T and X layers <ref type="bibr">[51]</ref>. The crystalline compound then selfassembles upon low-temperature annealing in N 2 atmosphere. The necessary calibration procedure for this process has been described in detail by Atkins et al <ref type="bibr">[52]</ref>.</p><p>The precursors were evaporated onto Si(1 0 0) substrates from high-purity metal sources in a custom-built vacuum chamber at a base pressure of about 1 &#215; 10 -8 mbar. A LabView program was used to position the substrates over each elemental source and the amount of evaporated material was controlled using a pneumatic shutter. Elemental Pb, Sn, Nb and Se layers were repeatedly deposited to mimic the appearance of the target compound. This was repeated until a total film thickness of about 50 nm was reached. After deposition, the precursors were transferred into a glovebox and annealed in an N 2 atmosphere with less than 0.5 ppm O 2 to induce crystallization. Annealing times for the samples used in this work ranged from 20 min to 60 min at 350-400 &#176;C depending on composition. The formed compounds have a layered structure that is crystallographically aligned with the substrate, but adjacent layers show a randomly rotated orientation which is typical for products from the MER synthesis. The schematic structure of a (MSe) 1+&#948; (NbSe 2 ) 2 ferecrystal is depicted in figures 1(a) and (c). Previously published <ref type="bibr">[33]</ref> results obtained from a Rietfield refinement on x-ray diffraction data on the (SnSe) 1+&#948; (NbSe 2 ) 2 compound is shown exemplarily in figure <ref type="figure">3</ref>. The thickness of the indivual layers was determined in previous studies to be 0.612 nm for PbSe, 0.588 nm for SnSe and 0.630 nm and 0.635 nm for NbSe 2 in [(PbSe) 1+&#948; ] m (NbSe 2 ) n and [(SnSe) 1+&#948; ] m (NbSe 2 ) n ferecrystals, respectively <ref type="bibr">[32,</ref><ref type="bibr">33]</ref>. Crystallite size is on the order of &#10877;15 nm, and adjacent grains show rotational disorder even within the same layer <ref type="bibr">[19]</ref>. As a detailed discussion of the structural properties would go beyond the scope of this manuscript, we kindly refer the interested reader to the extensive studies on the preparation and structure on a wide range of [(PbSe) 1+&#948; ] m (NbSe 2 ) n and [(SnSe) 1+&#948; ] m (NbSe 2 ) n ferecrystals published elsewhere <ref type="bibr">[32]</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref><ref type="bibr">[35]</ref><ref type="bibr">[36]</ref>.</p><p>XPS measurements were carried out at room temperature in a UHV chamber at a pressure of approximately 3 &#215; 10 -10 mbar. Excitation of the photoelectrons was done using monochromated Al K &#945; radiation provided by a SPECS XR50M x-ray source equipped with a SPECS FOCUS 500 crystal monochromator. A SPECS Phoibos 150 MCD-9 hemispherical analyzer with nine channeltrons was used for analysis and detection of the photoelectrons. For the XPS measurements carried out in normal emission (0&#176;) detection geometry of the photoelectrons, the x-ray source was oriented at an angle of about 45&#176; relative to the crystal's c-axis. Binding energies are referenced to the Au4f core level at 84.0 eV. The total energy resolution of the experiments shown is better than approximately 350 meV. The uncertainties of the core level binding energies is estimated to be 50 meV. Clean surfaces were prepared by cleaving. To that end, the samples were mounted onto the sample holders using a silver-filled, low degassing EPO-TEK H22 epoxy adhesive. The same epoxy was used to glue a steel plate on top of the sample, which was broken off in the load lock of the system under dry N 2 flow. The sample was rapidly transferred into UHV, where XPS survey spectra showed that the freshly cleaved surface was free of contaminants such as oxygen or carbon.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results and discussion</head><p>XPS core level spectra were obtained for both binary bulk compounds as well as ferecrystals. First, we will discuss the Pb and Sn core levels for PbSe and (PbSe) 1+&#948; (NbSe 2 ) 2 , and SnSe and (SnSe) 1+&#948; (NbSe 2 ) 2 , respectively. As both Sn and Pb are group 14 elements, we would expect a similar behavior of the electronic structures in both ferecrystals. Following this, the Nb and Se core levels as well as valence band spectra are discussed. An overview of the binding energies obtained from peak analysis is given in figure <ref type="figure">8</ref>.</p><p>The Pb5d doublet is shown in figure <ref type="figure">4</ref>(a) for both the binary compound PbSe and the ferecrystal (PbSe) 1+&#948; (NbSe 2 ) 2 . The Pb5d core level was used for peak analysis, because the more intense Pb4f spectrum interferes with the intense L 2 M 45 M 45 Auger transition of selenium. Since PbSe is a narrow bandgap semiconductor <ref type="bibr">[53]</ref>, the peak form is symmetric in the binary compound and the data can be fitted using a doublet of Voigt lines separated by a spin-orbit splitting of 2.60 eV. The branching ratio is 0.69, which is close to the theoretical value of 0.67 for a d-level <ref type="bibr">[54]</ref>. A Shirley background was used for the fits <ref type="bibr">[55]</ref>. The obtained binding energy of 18.84 eV for the Pb5d 5/2 peak is consistent with previous results on (polycrystalline) PbSe <ref type="bibr">[56]</ref>. In the spectrum of (PbSe) 1+&#948; (NbSe 2 ) 2 , distinct differences to the spectrum of PbSe are observed. The Pb5d core level shifts by 0.47 eV towards lower binding energy compared to binary PbSe. In addition, the peaks show a slight asymmetry towards higher binding energy in the ferecrystal. A fit with an asymmetric function as derived by Mahan <ref type="bibr">[57]</ref> gives a binding energy of 18.37 eV, an asymmetry parameter of &#945; = 0.11 and a cut-off energy of &#951; = 0.40 eV. Note that for a Mahan fit, the binding energy is not where the peak maximum is. The asymmetry in the spectra of the PbSe layers, along with the shift in binding energy, indicates that charge transfer takes place from PbSe to NbSe 2 . We attribute this to electrons being donated from the PbSe layer into the NbSe 2 layer. By donating electrons into the NbSe 2 layers, the Fermi energy E F of PbSe is shifted from within the band gap to inside the Se4p band (see figure <ref type="figure">2</ref>), thus lowering the binding energy of the core levels. This is consistent with the results obtained by Alemayehu et al from analyzing transport properties of [(PbSe) 1+&#948; ] m (NbSe 2 ) n ferecrystals <ref type="bibr">[32]</ref>. The occurrence of a metal cross substitution can be ruled out because only a single component contributes to spectrum of the ferecrystal.</p><p>As can be seen from the Sn3d core level spectra for SnSe and (SnSe) 1+&#948; (NbSe 2 ) 2 in figure <ref type="figure">4</ref>(b), we can observe trends of the peak shapes and core level binding energies in (SnSe) 1+&#948; (NbSe 2 ) 2 similar to (PbSe) 1+&#948; (NbSe 2 ) 2 . Like PbSe, the binary compound SnSe is a semiconductor <ref type="bibr">[58]</ref> and thus, the data can be fitted using a doublet of symmetric Voigt lines with a spin-orbit splitting of 8.41 eV and a branching ratio of 0.70. The binding energy of the 3d 5/2 peak is at 485.87 eV, which is in good agreement with the values reported for cleaved single crystals of SnSe <ref type="bibr">[56]</ref>. In the ferecrystal, a larger asymmetry with &#945; = 0.45 and &#951; = 0.64 eV can be observed and the binding energy is 485.30 eV. The peak thus shifts by 0.57 eV towards lower binding energies. Using the same rationale as above, this can be explained by the SnSe layers donating electrons into the NbSe 2 layers. Again, the results are consistent with the charge transfer deduced from the transport measurements by Alemayehu et al <ref type="bibr">[33,</ref><ref type="bibr">34]</ref> As the Sn3d spectrum consists of only a single component in the ferecrystal, we conclude that there is no metal cross substitution present.</p><p>It should be noted that SnSe is known to undergo a size induced phase transition when the thickness is decreased from bulk to few layers of SnSe <ref type="bibr">[16,</ref><ref type="bibr">17,</ref><ref type="bibr">59,</ref><ref type="bibr">60]</ref>. In the bulk, the rocksalt layers have an orthorombic structure. With decreasing layer thickness, there is a continuous transition to a pseudotetragonal structure. This behavior is similar to the phase transition observed in SnSe crystals at 807 K <ref type="bibr">[61]</ref>. The effect of this phase transition on the electronic structure of ferecrystals has yet to be explored. However, both phases are semiconducting  <ref type="bibr">[33]</ref>. Copyright 2015 American Chemical Society. <ref type="bibr">[62]</ref>. We thus conclude that the observed asymmetry and the shift of the binding energy of the Sn3d core level are primarily caused by electron transfer.</p><p>In figure <ref type="figure">5</ref>(a) the Nb3d core level spectra are shown for bulk NbSe 2 . The normal emission spectrum (top, 0&#176;) shows the presence of a shoulder at the higher binding energy side of the peak, which points to a second component in the spectrum. From measurements carried out under different detection angles, we could confirm that this second component is a surface effect, as its relative intensity is increased when a more surface sensitive detection geometry is used (bottom, 60&#176;). Peak analysis is not straightforward, as the background is influenced by the tail of the very intense selenium L 3 M 45 M 45 Auger transition at 178 eV. Thus, the background was approximated by a polynomial curve. The peak shape assigned to the bulk is asymmetric, as NbSe 2 is a p-type metal at room temperature <ref type="bibr">[63]</ref>. The spectrum was fitted using two doublets of Mahan lines, with identical lifetime and Gaussian widths,  asymmetry parameter &#945; and cut-off energy &#951;. &#945; and &#951; were determined from best fits to be 0.4 and 0.83 eV, respectively. Chiang et al <ref type="bibr">[64]</ref> report a higher cut-off energy for NbSe 2 single crystals, but they do not discuss a surface component. The binding energy of the bulk material (green) is 203.18 eV and the shift of the surface component (blue) is 0.77 eV. Surface oxidation can be ruled out as the origin of the surface component, because XPS survey scans show no oxygen. It might be due to the termination of the bulk mat erial, but this is still an open question and part of ongoing investigations.</p><p>In the ferecrystals (figure 5(b)), the overall peak shape appears to be similar to the binary compound. The surface component, which is clearly visible in the binary, is also present but much less pronounced, especially for the (PbSe) 1+&#948; (NbSe 2 ) 2 ferecrystals. The shift of 0.66 eV for this second component is slightly smaller in (SnSe) 1+&#948; (NbSe 2 ) 2 than that of 0.87 eV in (PbSe) 1+&#948; (NbSe 2 ) 2 . As the ferecrystals are also metals with holes as the majority charge carriers <ref type="bibr">[32]</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref><ref type="bibr">36]</ref>, the peak shape is asymmetric as well. The binding energy of the main component stays the same within experimental uncertainty (see figure <ref type="figure">8</ref>). We therefore conclude that the electronic structure of the NbSe 2 layers is conserved in the ferecrystals and shows no shift. The absence of a shift of the electronic structure of the NbSe 2 layers can be explained by the high density of states of the about half-filled Nb4d band at the Fermi level (see also figure <ref type="figure">2</ref>). It can accept charges without significantly changing the electronic structure of the NbSe 2 layers and the Fermi energy.</p><p>The Se3d core level spectra of the three binary compounds PbSe, SnSe and NbSe 2 are shown in figure <ref type="figure">6(a)</ref>. The binding energy of the Se3d 5/2 was determined from fits to be 53.54 eV in PbSe, 53.77 eV in SnSe and 53.11 eV in NbSe 2 , while the spin-orbit splitting amounts to about 0.85 eV (0.85 eV in PbSe, 0.85 eV in SnSe, 0.84 eV in NbSe 2 ). The observed branching ratio is larger than the theoretical expectation of 0.67 for a d-level for all three compounds (0.77 in PbSe, 0.75 in SnSe and 0.80 in NbSe 2 ). This is due to a resonant process described in detail by Wertheim et al <ref type="bibr">[65,</ref><ref type="bibr">66]</ref>. Due to the metallic nature of bulk NbSe 2 , the doublet shows an asymmetric tail towards higher binding energy.</p><p>Figures <ref type="figure">6(b</ref>) and (c) show the measured Se3d spectra (data points) for representative (PbSe) 1+&#948; (NbSe 2 ) 2 and (SnSe) 1+&#948; (NbSe 2 ) 2 ferecrystals, respectively. The spectrum of the ferecrystal was fitted as a weighted superposition of the spectra of the bulk binary compounds PbSe (or SnSe) and NbSe 2 . To reduce the number of free parameters, the asymmetry parameter, cut-off energy, branching ratio and lifetime width of the respective doublet peaks were constrained to the values obtained from the binary compounds. Only a shift in binding energy and a Gaussian broadening of the doublets was allowed. As can be seen from figure <ref type="figure">8</ref>, the component we assigned to PbSe shifts 0.23 eV towards lower binding energy in (PbSe) 1+&#948; (NbSe 2 ) 2 while the NbSe 2 -component does not shift. The same trend can be observed for (SnSe) 1+&#948; (NbSe 2 ) 2 , where the component assigned to SnSe shifts by 0.20 eV towards lower binding energies and the NbSe 2 component stays at a constant energy within experimental uncertainty. This is consistent with the observed shift of the Pb and Sn core levels and the absence thereof in the Nb3d core level. The relative intensities of the two components are about 70% NbSe 2 and 30% PbSe in (PbSe) 1+&#948; (NbSe 2 ) 2 , and about 58% NbSe 2 and 42% SnSe in (SnSe) 1+&#948; (NbSe 2 ) 2 (averaged over multiple samples). The varying ratio of MSe to NbSe 2 from different samples is likely due to the cleave of the crystal occurring between different layers.</p><p>In addition to the core levels we measured valence band spectra of the binary compounds (PbSe, SnSe and NbSe 2 ) and the ferecrystals. They are shown in figure <ref type="figure">7</ref>. Due to its metallic nature, the spectrum of NbSe 2 shows a clear Fermi edge at zero binding energy. In contrast to that, the spectra of the semiconducting PbSe and SnSe show no intensity at the Fermi energy. The valence band maxima of PbSe and SnSe were determined to be located at 0.45 eV and 0.37 eV, respectively.</p><p>In the framework of a rigid band model, the valence band density of states is usually regarded as a simple superposition of the respective binary compounds in the misfit layered compounds <ref type="bibr">[41,</ref><ref type="bibr">43,</ref><ref type="bibr">47]</ref>. We used the same approach for our ferecrystals as shown in figure <ref type="figure">7</ref>: the measured spectrum of the ferecrystal (data points) was fitted by a weighted superposition of the spectra of the two respective binary compounds. Additionally, the spectra of the binary compounds were free to shift in binding energy during the fit routine.</p><p>For (PbSe) 1+&#948; (NbSe 2 ) 2 , the data points are fairly well represented by a superposition of PbSe and NbSe 2 (figure <ref type="figure">7(a)</ref>). The contribution of the PbSe layers is shifted by 0.24 eV towards lower binding energy, while the contribution of the NbSe 2 layers does not shift. This is consistent with the observed binding energy shifts of the core level analysis. Different peaks in the valence band spectrum can be assigned to Se4s around 13.5 eV and Pb6s around 8.9 eV. The broad band below the Fermi level is built up from the Se4p and the Nb4d band, which intersects the Fermi level.</p><p>In the case of (SnSe) 1+&#948; (NbSe 2 ) 2 (figure <ref type="figure">7(b</ref>)), the spectrum of the ferecrystal is disturbed by a large background peak centered around 6 eV. This stems from the silver filled epoxy adhesive used during the cleaving process (for the (PbSe) 1+&#948; (NbSe 2 ) 2 samples, this background intensity is negligible). The contributions to the spectrum from the silver are due to holes in the film, that expose the underlying epoxy adhesive. This was confirmed by optical microscopy. In the modeling of the (SnSe) 1+&#948; (NbSe 2 ) 2 valence band, treating this background as a single Voigt line worked well. Note that no silver core levels interfered with the shown core level spectra of the ferecrystals. The SnSe contribution has to be shifted towards lower binding energy by 0.22 eV, while the NbSe 2 contribution does not shift, to model the spectrum.</p><p>Summarizing the experimental results, we see a shift of the core level and valence band spectra of the PbSe and SnSe  layers towards lower binding energies in the ferecrystals. The experimentally observed changes in binding energy are shown in an energy diagram in figure <ref type="figure">8</ref>. For PbSe, the Pb5d core level shifts by 0.47 eV, the Se3d core level by 0.23 eV and the valence band by 0.24 eV. The Sn3d core level of SnSe shifts by 0.57 eV, Se3d by 0.20 eV and the valence band by 0.22 eV. The observed trend is consistent for all core levels and the valence band.</p><p>The observed shifts of the metal core levels are larger than that for selenium. This is probably due to some necessary simplifications made during the deconvolution of the Se3d spectrum, as the two components assigned to MSe and NbSe 2 are in close proximity to each other. Since the peak shape of the metal core levels becomes asymmetric in the ferecrystals, we would assume the same to also happen to the MSe component of the Se core levels. Using the asymmetric Mahan line shape for the MSe component during deconvolution would likely compensate for the observed difference in binding energy shift, but was omitted to reduce the number of free parameters. For the valence band a simple model of a weighted superposition was used. The observed shift is in agreement with the core level shifts within the limits of the resolution. The core level and valence band spectra of the NbSe 2 layers show no shift in the ferecrystal compared to the binary compound. The experimental observations are consistent with the conclusions from transport measurements <ref type="bibr">[32]</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref>, that the MSe layers donate electrons into the charge accepting NbSe 2 layers. As the area analyzed by XPS is large compared to the crystal's grain size, the obtained spectra are integrated over all possible rotation angles between randomly orientated layers. The observed peak widths in the binary compounds and the ferecrystals are similar, and thus we conclude that the amount of charge transferred between layers is independent of the rotation angle between adjacent layers within the resolution of the instrument. Since the spectra show no additional components in the ferecrystals, we conclude that there is no cross substitution of metal atoms between the layers.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusions</head><p>We investigated layered ferecrystal heterostructures (PbSe) 1+&#948; (NbSe 2 ) 2 and (SnSe) 1+&#948; (NbSe 2 ) 2 using x-ray photoelectron spectroscopy. The core levels of Pb, Sn, Se and Nb were compared to the respective binary compounds PbSe, SnSe and NbSe 2 . Analysis of the core level spectra showed a shift of the electronic structure of PbSe and SnSe towards lower binding energy in the ferecrystal when compared to the bulk material, while the electronic structure of the NbSe 2 layers is conserved and shows no shift. We could thus confirm that the PbSe and SnSe layers donate electrons into the NbSe 2 layers, which can accept charges without changing the electronic structure due to the high density of states at the Fermi level in the Nb4d band. This is further supported by an asymmetry observed in the Pb and Sn core levels of the ferecrystals.</p><p>Within a rigid band model, the valence band of the ferecrystals can be approximated by a weighted superposition of the valence bands of the respective binary components. The contrib utions from the PbSe and SnSe layers shift towards lower binding energy, while that from NbSe 2 layers shows no shift. This is consistent with the observations from the core level spectra. Our data do not show any signs of a metal cross substitution, which was suggested to occur in some misfit layered compounds, presumably resulting from the high temper atures and long annealing times used in their synthesis. The observed charge transfer between constituents provides opportunities to modulation dope one layer via charge transfer from another. The charge transfer, combined with the ability to change the identity, thickness and alloy the rock salt constituent provides opportunities to continuously tune the Fermi level to optimize physical properties.</p></div></body>
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