Layered Quantum Hall Insulators with Ultracold Atoms

Details Layered Quantum Hall Insulators with Ultracold Atoms Layered Quantum Hall Insulators with Ultracold Atoms

2010-08-31

arxiv.org/abs/1008.5365v2

Phys. Rev. A 84, 053620 (2011)

Physics

Condensed Matter

Quantum Gases

6 pages

Scientific paper

10.1103/PhysRevA.84.053620

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.

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