Topological chiral currents in the Gross-Neveu model extension

Article

关键词: LATTICE GAUGE-THEORY;    QUANTUM SIMULATIONS;    GROUND-STATE;    EDGE STATES;    FERMIONS;    SYMMETRY;    INVARIANCE;    PHASE;    SOLITONS;    DYNAMICS;   

DOI  :  10.1103/PhysRevB.106.045147

来源: SCIE

【 摘 要 】

We unveil an interesting connection of Lorentz-violating quantum field theories, studied in the context of the standard model extension, and Hubbard-type models of topological crystalline phases. These models can be interpreted as a regularization of the former and, as hereby discussed, explored with current quantum simulators based on ultracold atoms in optical Raman lattices. In particular, we present a complete analysis of the Creutz-Hubbard ladder under a generic magnetic flux, which regularizes a Gross-Neveu model extension and presents a characteristic circulating chiral current whose nonzero value arises from a specific violation of Lorentz invariance. We present a complete phase diagram with trivial insulators, ferromagnetic and antiferro-magnetic phases, and current-carrying topological crystalline phases. These predictions are benchmarked using tools from condensed matter and quantum-information science, showing that self-consistent Hartree-Fock and strong-coupling Dzyaloshinskii-Moriya (D-M) methods capture the essence of the phase diagram in different regimes, which is further explored using extensive numerical simulations based on matrix-product states.

【 授权许可】

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