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1. Nucleon spin structure from lattice QCD

   https://doi.org/10.22323/1.316.0148  

   Alexandrou, Constantia; Constantinou, Martha; Hadjiyiannakou, Kyriakos; Jansen, Karl; Kallidonis, Christos; Koutsou, Giannis; Vaquero, Alejandro (November 2018, DIS2018)
2. Electron spin dynamics and spin–lattice relaxation of trityl radicals in frozen solutions

   https://doi.org/10.1039/c6cp02649d  

   Chen, Hanjiao; Maryasov, Alexander G.; Rogozhnikova, Olga Yu.; Trukhin, Dmitry V.; Tormyshev, Victor M.; Bowman, Michael K. (January 2016, Phys. Chem. Chem. Phys.)
3. Supersymmetry on the lattice: Geometry, Topology, and Spin Liquids

   https://doi.org/https://doi.org/10.48550/arXiv.2207.09475  

   Roychowdhury, Krishanu; Attig, Jan; Trebst, Simon; Lawler, Michael J. (July 2022, ArXivorg)

   In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons and fermions. Here we show how this fundamental concept can be applied to connect bosonic and fermionic lattice models in the realm of condensed matter physics, e.g., to identify a variety of (bosonic) phonon and magnon lattice models which admit topologically nontrivial free fermion models as superpartners. At the single-particle level, the bosonic and the fermionic models that are generated by the SUSY are isospectral except for zero modes, such as flat bands, whose existence is undergirded by the Witten index of the SUSY theory. We develop a unifying framework to formulate these SUSY connections in terms of general lattice graph correspondences and discuss further ramifications such as the definition of supersymmetric topological invariants for generic bosonic systems. Notably, a Hermitian form of the supercharge operator, the generator of the SUSY, can itself be interpreted as a hopping Hamiltonian on a bipartite lattice. This allows us to identify a wide class of interconnected lattices whose tight-binding Hamiltonians are superpartners of one another or can be derived via squaring or square-rooting their energy spectra all the while preserving band topology features. We introduce a five-fold way symmetry classification scheme of these SUSY lattice correspondences, including cases with a non-zero Witten index, based on a topological classification of the underlying Hermitian supercharge operator. These concepts are illustrated for various explicit examples including frustrated magnets, Kitaev spin liquids, and topological superconductors. 

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4. Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations

   https://doi.org/10.1103/PhysRevLett.119.142002  

   Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.; Jansen, K.; Kallidonis, C.; Koutsou, G.; Avilés-Casco, A. Vaquero; Wiese, C. (October 2017, Physical Review Letters)
5. Distinct spin–lattice and spin–phonon interactions in monolayer magnetic CrI ₃

   https://doi.org/10.1039/c8cp03599g  

   Webster, Lucas; Liang, Liangbo; Yan, Jia-An (January 2018, Physical Chemistry Chemical Physics)

   We apply the density-functional theory to study various phases (including non-magnetic (NM), anti-ferromagnetic (AFM), and ferromagnetic (FM)) in monolayer magnetic chromium triiodide (CrI 3 ), a recently fabricated 2D magnetic material. It is found that: (1) the introduction of magnetism in monolayer CrI 3 gives rise to metal-to-semiconductor transition; (2) the electronic band topologies as well as the nature of direct and indirect band gaps in either AFM or FM phases exhibit delicate dependence on the magnetic ordering and spin–orbit coupling; and (3) the phonon modes involving Cr atoms are particularly sensitive to the magnetic ordering, highlighting distinct spin–lattice and spin–phonon coupling in this magnet. First-principles simulations of the Raman spectra demonstrate that both frequencies and intensities of the Raman peaks strongly depend on the magnetic ordering. The polarization dependent A 1g modes at 77 cm −1 and 130 cm −1 along with the E g mode at about 50 cm −1 in the FM phase may offer a useful fingerprint to characterize this material. Our results not only provide a detailed guiding map for experimental characterization of CrI 3 , but also reveal how the evolution of magnetism can be tracked by its lattice dynamics and Raman response. 

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