Topological Transitions for Lattice Bosons in a Magnetic Field

Details Topological Transitions for Lattice Bosons in a Magnetic Field Topological Transitions for Lattice Bosons in a Magnetic Field

2011-05-04

arxiv.org/abs/1105.0904v2

Proc. Natl. Acad. Sci. USA 118, 19925 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 7 figures

Scientific paper

10.1073/pnas.1110813108

We study the Hall response of the Bose-Hubbard model subjected to a magnetic field. We show that the Hall conductivity is proportional to the particle density plus an integer. The phase diagram is intersected by topological transitions between different integer values. These transitions originate from points in the phase diagram with effective charge conjugation symmetry, and are attributed to degeneracies in the many body spectrum which serve as sources for the Berry curvature. We find that extensive regions in the phase diagram exhibit a negative Hall conductivity, implying that flux flow is reversed in these regions - vortices there flow upstream. We discuss experimental implications of our findings.

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