skip to main content

Attention:

The NSF Public Access Repository (PAR) system and access will be unavailable from 11:00 PM ET on Thursday, February 13 until 2:00 AM ET on Friday, February 14 due to maintenance. We apologize for the inconvenience.


This content will become publicly available on July 1, 2025

Title: Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros

Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless topological states even when quasiparticles are absent. Here we demonstrate the profundity of the framework in the extreme case, when interactions lead to a Mott insulator, through a solvable model with long-range interactions. We find that both Mott poles and zeros are subject to the symmetry constraints, and relate the symmetry-enforced spectral crossings to degeneracies of the original noninteracting eigenstates. Our results lead to new understandings of topological quantum materials and highlight the utility of interacting Green's functions toward their symmetry-based design.

Published by the American Physical Society2024 
more » « less
Award ID(s):
2220603
PAR ID:
10562017
Author(s) / Creator(s):
; ; ; ; ; ; ;
Publisher / Repository:
APS
Date Published:
Journal Name:
Physical Review Research
Volume:
6
Issue:
3
ISSN:
2643-1564
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. There is extensive current interest in electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has increasingly been recognized. However, whether and how the zeros contribute to electronic properties is a matter of uncertainty. Here we address the issue in an exactly solvable model for a Mott insulator. We show that the Green's function zeros contribute to several physically measurable correlation functions in a way that does not run into inconsistencies. In particular, the physical properties remain robust to chemical potential variations up to the Mott gap, as it should be based on general considerations. Our work sets the stage for further understandings of the rich interplay among topology, symmetry, and strong correlations.

    Published by the American Physical Society2024 
    more » « less
  2. Chirality, or handedness, is a geometrical property denoting a lack of mirror symmetry. Chirality is ubiquitous in nature and is associated with the nonreciprocal interactions observed in complex systems ranging from biomolecules to topological materials. Here, we demonstrate that chiral arrangements of dipole-coupled atoms or molecules can facilitate the helicity-dependent superradiant emission of light. We show that the collective modes of these systems experience an emergent spin-orbit coupling that leads to chirality-dependent photon transport and nontrivial topological properties. These phenomena are fully described within the electric dipole approximation, resulting in very strong optical responses. Our results demonstrate an intimate connection between chirality, superradiance, and photon helicity and provide a comprehensive framework for studying electron transport dynamics in chiral molecules using cold atom quantum simulators.

    <supplementary-material><permissions><copyright-statement>Published by the American Physical Society</copyright-statement><copyright-year>2024</copyright-year></permissions></supplementary-material></sec> </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemscope itemtype="http://schema.org/TechArticle"> <div class="item-info"> <div class="title"> <a href="https://par.nsf.gov/biblio/10565215-microscopic-model-fractional-quantum-hall-nematics" itemprop="url"> <span class='span-link' itemprop="name">Microscopic Model for Fractional Quantum Hall Nematics</span> </a> </div> <div> <strong> <a class="misc external-link" href="https://doi.org/10.1103/PhysRevLett.132.236503" target="_blank" title="Link to document DOI">https://doi.org/10.1103/PhysRevLett.132.236503  <span class="fas fa-external-link-alt"></span></a> </strong> </div> <div class="metadata"> <span class="authors"> <span class="author" itemprop="author">Pu, Songyang</span> <span class="sep">; </span><span class="author" itemprop="author">Balram, Ajit C</span> <span class="sep">; </span><span class="author" itemprop="author">Taylor, Joseph</span> <span class="sep">; </span><span class="author" itemprop="author">Fradkin, Eduardo</span> <span class="sep">; </span><span class="author" itemprop="author">Papić, Zlatko</span> </span> <span class="year">( <time itemprop="datePublished" datetime="2024-06-01">June 2024</time> , Physical Review Letters) </span> </div> <div style="cursor: pointer;-webkit-line-clamp: 5;" class="abstract" itemprop="description"> <p>Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give rise to a nematic FQH phase, a topological state with a spontaneously broken rotational symmetry. While experiments on FQH states in the second Landau level have reported signatures of putative FQH nematics in anisotropic transport, a realistic model for this state has been lacking. We show that the standard model of particles in the lowest Landau level interacting via the Coulomb potential realizes the FQH nematic transition, which is reached by a progressive reduction of the strength of the shortest-range Haldane pseudopotential. Using exact diagonalization and variational wave functions, we demonstrate that the FQH nematic transition occurs when the system’s neutral gap closes in the long-wavelength limit while the charge gap remains open. We confirm the symmetry-breaking nature of the transition by demonstrating the existence of a “circular moat” potential in the manifold of states with broken rotational symmetry, while its geometric character is revealed through the strong fluctuations of the nematic susceptibility and Hall viscosity.</p> <sec><supplementary-material><permissions><copyright-statement>Published by the American Physical Society</copyright-statement><copyright-year>2024</copyright-year></permissions></supplementary-material></sec> </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemscope itemtype="http://schema.org/TechArticle"> <div class="item-info"> <div class="title"> <a href="https://par.nsf.gov/biblio/10555583-unified-topological-characterization-electronic-states-spin-textures-from-noncommutative-theory" itemprop="url"> <span class='span-link' itemprop="name">Unified topological characterization of electronic states in spin textures from noncommutative K -theory</span> </a> </div> <div> <strong> <a class="misc external-link" href="https://doi.org/10.1103/PhysRevResearch.6.013102" target="_blank" title="Link to document DOI">https://doi.org/10.1103/PhysRevResearch.6.013102  <span class="fas fa-external-link-alt"></span></a> </strong> </div> <div class="metadata"> <span class="authors"> <span class="author" itemprop="author">Lux, Fabian R</span> <span class="sep">; </span><span class="author" itemprop="author">Ghosh, Sumit</span> <span class="sep">; </span><span class="author" itemprop="author">Prass, Pascal</span> <span class="sep">; </span><span class="author" itemprop="author">Prodan, Emil</span> <span class="sep">; </span><span class="author" itemprop="author">Mokrousov, Yuriy</span> </span> <span class="year">( <time itemprop="datePublished" datetime="2024-01-01">January 2024</time> , Physical Review Research) </span> </div> <div style="cursor: pointer;-webkit-line-clamp: 5;" class="abstract" itemprop="description"> <p>The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative<math><mi>K</mi></math>-theory. By realizing that the structure of the observable algebra of spin textures is determined by the algebraic properties of the noncommutative torus, we arrive at a unified understanding of topological electronic states which we predict to arise in various noncollinear setups. The power of our approach lies in an ability to categorize emergent topological states algebraically without referring to smooth real- or reciprocal-space quantities. This opens a way towards an educated design of topological phases in aperiodic, disordered, or nonsmooth textures of spins and charges containing topological defects.</p> <sec><title/><supplementary-material><permissions><copyright-statement>Published by the American Physical Society</copyright-statement><copyright-year>2024</copyright-year></permissions></supplementary-material></sec> </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemscope itemtype="http://schema.org/TechArticle"> <div class="item-info"> <div class="title"> <a href="https://par.nsf.gov/biblio/10526953-treelike-structure-symmetry-topological-field-theories-multisector-qfts" itemprop="url"> <span class='span-link' itemprop="name">Treelike structure of symmetry topological field theories and multisector QFTs</span> </a> </div> <div> <strong> <a class="misc external-link" href="https://doi.org/10.1103/PhysRevD.109.106013" target="_blank" title="Link to document DOI">https://doi.org/10.1103/PhysRevD.109.106013  <span class="fas fa-external-link-alt"></span></a> </strong> </div> <div class="metadata"> <span class="authors"> <span class="author" itemprop="author">Baume, Florent</span> <span class="sep">; </span><span class="author" itemprop="author">Heckman, Jonathan J</span> <span class="sep">; </span><span class="author" itemprop="author">Hübner, Max</span> <span class="sep">; </span><span class="author" itemprop="author">Torres, Ethan</span> <span class="sep">; </span><span class="author" itemprop="author">Turner, Andrew P</span> <span class="sep">; </span><span class="author" itemprop="author">Yu, Xingyang</span> </span> <span class="year">( <time itemprop="datePublished" datetime="2024-05-01">May 2024</time> , Physical Review D) </span> </div> <div style="cursor: pointer;-webkit-line-clamp: 5;" class="abstract" itemprop="description"> <p>The global symmetries of a<math display='inline'><mi>D</mi></math>-dimensional quantum field theory (QFT) can, in many cases, be captured in terms of a (<math display='inline'><mrow><mi>D</mi><mo>+</mo><mn>1</mn></mrow></math>)-dimensional symmetry topological field theory (SymTFT). In this work we construct a (<math display='inline'><mrow><mi>D</mi><mo>+</mo><mn>1</mn></mrow></math>)-dimensional theory which governs the symmetries of QFTs with multiple sectors which have connected correlators that admit a decoupling limit. The associated symmetry field theory decomposes into a SymTree, namely a treelike structure of SymTFTs fused along possibly nontopological junctions. In string-realized multisector QFTs, these junctions are smoothed out in the extradimensional geometry, as we demonstrate in examples. We further use this perspective to study the fate of higher-form symmetries in the context of holographic large<math display='inline'><mi>M</mi></math>averaging where the topological sectors of different large<math display='inline'><mi>M</mi></math>replicas become dressed by additional extended operators associated with the SymTree.</p> <sec><supplementary-material><permissions><copyright-statement>Published by the American Physical Society</copyright-statement><copyright-year>2024</copyright-year></permissions></supplementary-material></sec> </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> </ol> <div class="push_top"></div> </div> </div> <div class="col-md-3"> <div id="citation-sidebar"> <ul class="nav nav-list" id="citation-fulltext-sidebar" style="font-size: 14px; font-family: Georgia Regular;"> <li style="font-weight: bold; margin-bottom: 5px; font-size:13px;">Free Publicly Accessible Full Text</li> <li class="small"> This content will become publicly available on July 1, 2025</li> <li class="divider"></li> <li style="font-weight: bold;font-size:13px;">Journal Article:</li> <li style="word-break:break-all" class="small"> <a href="https://doi.org/10.1103/PhysRevResearch.6.L032018" target="_blank" rel="noopener noreferrer" title="Document DOI URL" class="external-link" data-ostiid="10562017" style="word-wrap: break-word;">https://doi.org/10.1103/PhysRevResearch.6.L032018  <span class="fas fa-external-link-alt"></span></a></li> </ul> <div class="hidden-print"> <ul class="nav nav-list clearfix" id="sidebar-feedback" style="margin-top: 20px; margin-bottom: 20px; clear: both;"> <li style="position: relative;"> <div class="feedback-container"> <div style="font-family: Georgia Regular; font-size: 14px; color: #313b52; padding:20px;"> Have feedback or suggestions for a way to improve these results?<br/> <span style="text-decoration: underline;"> <script type="text/javascript" defer>/* <![CDATA[ */ user = "feedback"; site = "research.gov"; subject = "?subject=Comments or Suggestions"; content = "<span class='fa fa-envelope'></span><span class='span-link' style='padding-left:5px'>Let us know</span>"; id = ""; document.write('<a itemprop="'+ id +'" href="mailto:' + user + '@' + site + subject + '">' + (content != '' ? content : (user + '@' + site)) + '</a>'); /* ]]> */</script> <noscript></noscript>!</span> </div> </li> </ul> <ul class="nav nav-list" style="font-size: 14px; font-family: Arial Regular;"> <li class="nav-header header-format">Citation Formats</li> <li class="links-format"><a href="#cite-mla" data-toggle="modal">MLA</a> <div id="cite-mla" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-mla_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-mla_label">Cite: MLA Format</strong> </div> <div class="modal-body" >Setty, Chandan, Sur, Shouvik, Chen, Lei, Xie, Fang, Hu, Haoyu, Paschen, Silke, Cano, Jennifer, and Si, Qimiao. <em>Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros</em>. Retrieved from https://par.nsf.gov/biblio/10562017. <em>Physical Review Research</em> 6.3 Web. doi:10.1103/PhysRevResearch.6.L032018. </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-apa" data-toggle="modal">APA</a> <div id="cite-apa" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-apa_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-apa_label">Cite: APA Format</strong> </div> <div class="modal-body">Setty, Chandan, Sur, Shouvik, Chen, Lei, Xie, Fang, Hu, Haoyu, Paschen, Silke, Cano, Jennifer, & Si, Qimiao. <em>Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros</em>. <em>Physical Review Research</em>, <em>6</em> (3). Retrieved from https://par.nsf.gov/biblio/10562017. <a href="https://doi.org/10.1103/PhysRevResearch.6.L032018">https://doi.org/10.1103/PhysRevResearch.6.L032018</a> </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-chi" data-toggle="modal">Chicago</a> <div id="cite-chi" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-chi_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-chi_label">Cite: Chicago Format</strong> </div> <div class="modal-body">Setty, Chandan, Sur, Shouvik, Chen, Lei, Xie, Fang, Hu, Haoyu, Paschen, Silke, Cano, Jennifer, and Si, Qimiao. "Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros". <em>Physical Review Research</em> 6 (3). Country unknown/Code not available: APS. <a href="https://doi.org/10.1103/PhysRevResearch.6.L032018">https://doi.org/10.1103/PhysRevResearch.6.L032018.</a> <a href="https://par.nsf.gov/biblio/10562017">https://par.nsf.gov/biblio/10562017</a>. </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-bib" data-toggle="modal">BibTeX</a> <div id="cite-bib" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-bib_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-bib_label">Cite: BibTeX Format</strong> </div> <div class="modal-body"> @article{osti_10562017,<br/> place = {Country unknown/Code not available}, title = {Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros}, url = {https://par.nsf.gov/biblio/10562017}, DOI = {10.1103/PhysRevResearch.6.L032018}, abstractNote = {Lattice symmetries are central to the characterization of electronic topology. Recently, it was shown that Green's function eigenvectors form a representation of the space group. This formulation has allowed the identification of gapless topological states even when quasiparticles are absent. Here we demonstrate the profundity of the framework in the extreme case, when interactions lead to a Mott insulator, through a solvable model with long-range interactions. We find that both Mott poles and zeros are subject to the symmetry constraints, and relate the symmetry-enforced spectral crossings to degeneracies of the original noninteracting eigenstates. Our results lead to new understandings of topological quantum materials and highlight the utility of interacting Green's functions toward their symmetry-based design. Published by the American Physical Society2024}, journal = {Physical Review Research}, volume = {6}, number = {3}, publisher = {APS}, author = {Setty, Chandan and Sur, Shouvik and Chen, Lei and Xie, Fang and Hu, Haoyu and Paschen, Silke and Cano, Jennifer and Si, Qimiao}, }</div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="divider"></li> </ul> <ul class="nav nav-list" style="font-size: 14px; font-family: Arial Regular;"> <li class="nav-header header-format">Export Metadata</li> <li class="links-format"><a href="https://par.nsf.gov/endnote?osti_id=10562017">EndNote</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:excel/osti-id:10562017">Excel</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:csv/osti-id:10562017">CSV</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:xml/osti-id:10562017">XML</a></li> <li class="divider"></li> </ul> <ul class="nav nav-list" style="font-size: 14px; font-family: Arial Regular;"> <li class="nav-header header-format">Save / Share this Record</li> <li class="links-format"><a href="#shareemail" data-toggle="modal">Send to Email</a> <div id="shareemail" class="modal" tabindex="-1" role="dialog" aria-labelledby="shareemail_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="shareemail_label" style="margin: 0px;">Send to Email</strong> </div> <form id="sendtoemail-form" style="margin-bottom: 0px;"> <div class="modal-body" id="shareemail_body"> <div class="modal-body-default"> <label for="sendtoemail-email">Email address:</label><br/> <input type="text" name="email" value="" class="col-md-5 input-sm form-control" id="sendtoemail-email"/> <input type="hidden" name="osti_id" id="sendtoemail-osti_id" value="10562017" /> <input type="hidden" name="subject" id="sendtoemail-subject" /> <div class="clearfix"></div> <div class="hide"><label for="sendtoemail-body">Content:</label></div> <textarea name="body" id="sendtoemail-body" style="display:none;"></textarea> </div> <div class="modal-body-submitted hide"> </div> </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> <button class="btn btn-sm btn-default" aria-hidden="true" type="submit" id="shareemail_submit"> <span class="fa fa-envelope"></span> Send </button> </div> </form> </div> </div> </div> </li> </ul> </div> <div class="push_top"></div> </div> </div> </div> </div> </div> </div> <input type="hidden" id="host_url" value="https://par.nsf.gov"/> <input type="hidden" id="base_url" value="/"/> <input type="hidden" id="param_osti_id" value="10562017"/> <span id="highlight-data"> </span> </div> </div> <footer class="row" id="footer-wrapper"> <div class="footer-content"> <div id="footerOSTI" class=" hidden-print"> <ul> <li><a target="_blank" rel="noreferrer" href="http://www.nsf.gov/policies/">Website Policies</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/about/performance/">Budget and Performance</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/oig/">Inspector General</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/policies/privacy.jsp">Privacy</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/policies/foia.jsp">FOIA</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/od/odi/notice.jsp">No FEAR Act</a> | <a target="_blank" rel="noreferrer" href="http://usa.gov">USA.gov</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/policies/access.jsp">Accessibility</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/policies/nsf_plain_language.jsp">Plain Language</a> | <a target="_blank" rel="noreferrer" href="http://www.nsf.gov/help/contact.jsp">Contact</a> | <a target="_blank" rel="noreferrer" href="https://nsf.gov/help/">Help</a> </li> </ul> The National Science Foundation, 2415 Eisenhower Avenue, Alexandria, Virginia 22314, USA Tel: (703) 292-5111, FIRS: (800) 877-8339 | TDD: (800) 281-8749 </div> </div> </footer> </div> <div id="authorselect" class="modal" tabindex="-1" role="dialog" aria-labelledby="authorselect_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <div id="authorselect_label">Author Select</div> </div> <form id="authorselect-form" style="margin-bottom: 0px;"> <input type="hidden" name="pg" id="authorselect-pg" value="1" /> <div class="modal-body" id="authorselect_body"> <div class="row"> <div class="col-md-4"> <label for="authorselect-lname">Last Name:</label><br /> <input type="text" name="lname" class="input-sm form-control" id="authorselect-lname" placeholder="Last name" /><br /> </div> <div class="col-md-4"> <label for="authorselect-fname">First Name:</label><br /> <input type="text" name="fname" class="input-sm form-control" id="authorselect-fname" placeholder="First name" /> </div> <div class="col-md-2">  <br /> <a href="#" onclick="$('#authorselect-form').submit(); return false;" class="btn btn-sm btn-default"><span class="fa fa-search"></span><span class="sr-only">Search</span></a> </div> </div> <div class="push_top"></div> <div class="row"> <div class="col-md-12"> <ul class="nav nav-tabs"> <li class="active"><a href="#authorselect-tab-res" id="authorselect-tab-res-btn" data-toggle="tab">Search Results</a></li> <li><a href="#authorselect-tab-sel" id="authorselect-tab-sel-btn" data-toggle="tab">Selected Authors</a></li> </ul> <div class="tab-content"> <div class="tab-pane active" id="authorselect-tab-res" style="max-height: 450px;"> <div class="padding text-muted" id="authorselect-tab-res-content">Type in a name, or the first few letters of a name, in one or both of appropriate search boxes above and select the search button. An attempt will be made to match authors that most closely relate to the text you typed.</div> </div> <div class="tab-pane" id="authorselect-tab-sel" style="max-height: 450px;"> <div class="padding text-muted" id="authorselect-tab-sel-content">No authors are currently selected. Choosing "Select These Authors" will enter a blank value for author search in the parent form.</div> </div> </div> </div> </div> </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> <button class="btn btn-sm btn-default" aria-hidden="true" type="button" id="authorselect_review" onclick="$('#authorselect-tab-sel-btn').click();" style="display: none;">Review Selections</button> <button class="btn btn-sm btn-default" aria-hidden="true" type="button" id="authorselect_submit" onclick="authorSelectAddToForm(); $('#authorselect').modal('hide');">Add Selections</button> </div> </form> </div> </div> </div> <div id="editorselect" class="modal" tabindex="-1" role="dialog" aria-labelledby="editorselect_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <div id="editorselect_label">Editor Select</div> </div> <form id="editorselect-form" style="margin-bottom: 0px;"> <input type="hidden" name="pg" id="editorselect-pg" value="1" /> <div class="modal-body" id="editorselect_body"> <div class="row"> <div class="col-md-4"> <label for="editorselect-lname">Last Name:</label><br /> <input type="text" name="lname" class="input-sm form-control" id="editorselect-lname" placeholder="Last name" /><br /> </div> <div class="col-md-4"> <label for="editorselect-fname">First Name:</label><br /> <input type="text" name="fname" class="input-sm form-control" id="editorselect-fname" placeholder="First name" /> </div> <div class="col-md-2">  <br /> <a href="#" onclick="$('#editorselect-form').submit(); return false;" class="btn btn-sm btn-default"><span class="fa fa-search"></span><span class="sr-only">Search</span></a> </div> </div> <div class="push_top"></div> <div class="row"> <div class="col-md-12"> <ul class="nav nav-tabs"> <li class="active"><a href="#editorselect-tab-res" id="editorselect-tab-res-btn" data-toggle="tab">Search Results</a></li> <li><a href="#editorselect-tab-sel" id="editorselect-tab-sel-btn" data-toggle="tab">Selected Editors</a></li> </ul> <div class="tab-content"> <div class="tab-pane active" id="editorselect-tab-res" style="max-height: 450px;"> <div class="padding text-muted" id="editorselect-tab-res-content">Type in a name, or the first few letters of a name, in one or both of appropriate search boxes above and select the search button. An attempt will be made to match editors that most closely relate to the text you typed.</div> </div> <div class="tab-pane" id="editorselect-tab-sel" style="max-height: 450px;"> <div class="padding text-muted" id="editorselect-tab-sel-content">No editors are currently selected. Choosing "Select These Editors" will enter a blank value for editor search in the parent form.</div> </div> </div> </div> </div> </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> <button class="btn btn-sm btn-default" aria-hidden="true" type="button" id="editorselect_review" onclick="$('#editorselect-tab-sel-btn').click();" style="display: none;">Review Selections</button> <button class="btn btn-sm btn-default" aria-hidden="true" type="button" id="editorselect_submit" onclick="editorSelectAddToForm();$('#editorselect').modal('hide');">Add Selections</button> </div> </form> </div> </div> </div> <div class="push_top"></div> <!-- External Link Modal --> <div class="modal fade" id="external-link-modal" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close nsf-close" data-dismiss="modal" aria-label="Close"> <span aria-hidden="true">×</span> </button> <h4 class="modal-title"><strong>Warning: Leaving National Science Foundation Website</strong></h4> </div> <div class="modal-body"> <div> <img src="https://par.nsf.gov/img/nsf/nsf_logo.png" width="292" height="53" alt="National Science Foundation Logo" border="0" /> </div> <br> <span>You are now leaving the National Science Foundation website to go to a non-government website.</span> <br> <br> Website: <a id="external-link-url" rel='noopener noreferrer' target='_blank'></a> <br> <br> <span> NSF takes no responsibility for and exercises no control over the views expressed or the accuracy of the information contained on this site. Also be aware that NSF's privacy policy does not apply to this site. </span> <br> <br> </div> <div class="modal-footer"> <div class="pull-right"> <button id="external-link-continue" type="button" data-extlink="" class="btn btn-primary" data-dismiss="modal"><u>Continue to Site</u></button> <button type="button" class="btn btn-default" data-dismiss="modal"><u>Cancel</u></button> </div> </div> </div> </div> </div> <!-- /content --> <input type='hidden' id='webtrend-id' value='dcsngbilzcxafpc7vw2qgbbij_3j2v'/> <input type='hidden' id='js-context-path' value='https://par.nsf.gov/'/> <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/latest.js?config=TeX-MML-AM_CHTML" defer></script> <script type="text/x-mathjax-config" defer> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]} }); </script> <noscript></noscript> <script src="https://par.nsf.gov/js/context.js" type="text/javascript" defer></script> <noscript>You must have javascript enabled</noscript> <script src="https://par.nsf.gov/js/libraries/jquery.min.js" type="text/javascript" defer></script> <noscript></noscript> <script src="https://par.nsf.gov/chosen/chosen.jquery.min.js" type="text/javascript" defer></script> <noscript></noscript> <script src="https://par.nsf.gov/js/nsf_pages.extras.min.js" type="text/javascript" defer></script> <noscript></noscript> <script src="https://par.nsf.gov/js/nsf_pages.min.js" type="text/javascript" defer></script> <noscript></noscript> <!--$$$$$$$$$ the following blocks are for WebTrends $$$$$$$$--> <!-- START OF SmartSource Data Collector TAG --> <!-- Copyright (c) 1996-2009 WebTrends Inc. All rights reserved. --> <!-- Version: 8.6.2 --> <!-- Tag Builder Version: 3.0 --> <!-- Created: 5/7/2009 8:32:37 PM --> <script src="https://par.nsf.gov/js/webtrends.min.js" type="text/javascript" defer></script> <noscript></noscript> <!-- ----------------------------------------------------------------------------------- --> <!-- Warning: The two script blocks below must remain inline. Moving them to an external --> <!-- JavaScript include file can cause serious problems with cross-domain tracking. --> <!-- ----------------------------------------------------------------------------------- --> <script src="https://par.nsf.gov/js/webtrend-script.min.js" type="text/javascript" defer></script> <noscript> <div><img alt="" id="DCSIMG" width="1" height="1" src="http://wt.research.gov/dcsngbilzcxafpc7vw2qgbbij_3j2v/njs.gif?dcsuri=/nojavascript&WT.js=No&DCS.dcscfg=1&WT.tv=8.6.2"/></div> </noscript> <script src="https://par.nsf.gov/js/webtrendsactions.min.js" type="text/javascript" defer></script> <noscript></noscript> <!-- $$$$$$$$ End WebTrends $$$$$ --> <!-- /scripts --> </body> <!-- NSF PAGES v.@project.version@ --> </html>