Chern band insulators in magnetic field

Abstract

The effect of a magnetic field on a two-dimensional Chern band insulator is discussed. It is shown that, unlike the trivial insulator, an anomalous Hall insulator with Chern number $C$ becomes a metal when a magnetic field is applied at constant particle density, for any $C>0$. For a time reversal invariant topological insulator with a spin Chern resolved number, $C_{\uparrow }=-C_{\downarrow }=C$, the magnetic field induces a spin polarized spin Hall insulator. We consider also the effect of a superlattice potential and extend previous results for the quantization of the Hall conductance of filled Hofstadter bands to this problem.

7 pages, 5 figures

References in corpus (9)

• Anderson Transitions
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Change of an insulator's topological properties by a Hubbard interaction

Cited by in corpus (4)

• Topological insulating phases from two-dimensional nodal loop semimetals
• Chern numbers and chiral anomalies in Weyl butterflies
• The Haldane model under nonuniform strain
• Robust one-dimensionality at twin-grain-boundaries in MoSe${}_2$