Elementary formula for the Hall conductivity of interacting systems
arXiv:1207.3747 · doi:10.1103/PhysRevB.86.165133
Abstract
A formula for the Hall conductivity of interacting electrons is given under the assumption that the ground state manifold is N_gs-fold degenerate and discrete translation symmetry is neither explicitly nor spontaneously broken.
7 pages
References in corpus (11)
- Anomalous Hall effect
- Fractional quantum Hall states at zero magnetic field
- Fractional quantum Hall effect in the absence of Landau levels
- Fractional Chern Insulator
- Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
- Zoology of Fractional Chern Insulators
- Fractional topological liquids with time-reversal symmetry and their lattice realization
- Emergent Many-Body Translational Symmetries of Abelian and Non-Abelian Fractionally Filled Topological Insulators
- Non-Abelian Quantum Hall Effect in Topological Flat Bands
- Noncommutative geometry for three-dimensional topological insulators
- Topological Hubbard model and its high-temperature quantum Hall effect
Cited by in corpus (15)
- Topological Flat Band Models and Fractional Chern Insulators
- Floquet Fractional Chern Insulator in Doped Graphene
- Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
- Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators
- Band structure engineering of ideal fractional Chern insulators
- Enhancing the stability of a fractional Chern insulator against competing phases
- Topological Lattice Models with Constant Berry Curvature
- Lattice construction of pseudopotential Hamiltonians for Fractional Chern Insulators
- Fractional Chern Insulators in Bands with Zero Berry Curvature
- Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
- dc conductivity as a geometric phase
- Quantum anomalous Hall effect with field-tunable Chern number near Z2 topological critical point
- Comment on "Elementary formula for the Hall conductivity of interacting systems"
- Erratum for "Elementary formula for the Hall conductivity of interacting systems"
- Exact Mappings in Condensed Matter Physics