Layered Quantum Hall Insulators with Ultracold Atoms
arXiv:1008.5365 · doi:10.1103/PhysRevA.84.053620
Abstract
We consider a generalization of the 2-dimensional (2D) quantum-Hall insulator to a non-compact, non-Abelian gauge group, the Heisenberg-Weyl group. We show that this kind of insulator is actually a layered 3D insulator with nontrivial topology. We further show that nontrivial combinations of quantized transverse conductivities can be engineered with the help of a staggered potential. We investigate the robustness and topological nature of this conductivity and connect it to the surface modes of the system. We also propose a simple experimental realization with ultracold atoms in 3D confined to a 2D square lattice with the third dimension being mapped to a gauge coordinate.
6 pages
References in corpus (15)
- Many-Body Physics with Ultracold Gases
- A spin-orbit coupled Bose-Einstein condensate
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Synthetic magnetic fields for ultracold neutral atoms
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
- Topological Insulators and Metals in Atomic Optical Lattices
- Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
- Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
- Cold atom dynamics in non-Abelian gauge fields
- Landau levels of cold atoms in non-Abelian gauge fields
Cited by in corpus (4)
- Light-induced gauge fields for ultracold atoms
- Chiral Dynamics of Ultracold Atoms under a Tunable SU(2) Synthetic Gauge Field
- Spin-orbit coupling and topological phases for ultracold atoms
- Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation