Microscopic Realization of Two-Dimensional Bosonic Topological Insulators
Name
PhysRevLett.113.267206.pdf
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557.25 KB
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Author(s)
Liu, Zheng-Xin
Gu, Zheng-Cheng
Wen, Xiao-Gang
Date Issued
December 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Liu, Zheng-Xin, Zheng-Cheng Gu, and Xiao-Gang Wen. "Microscopic Realization of Two-Dimensional Bosonic Topological Insulators." Phys. Rev. Lett. 113, 267206 (December 2014). © 2014 American Physical Society
Version
Final published version
Abstract
It is well known that a bosonic Mott insulator can be realized by condensing vortices of a boson condensate. Usually, a vortex becomes an antivortex (and vice versa) under time reversal symmetry, and the condensation of vortices results in a trivial Mott insulator. However, if each vortex or antivortex interacts with a spin trapped at its core, the time reversal transformation of the composite vortex operator will contain an extra minus sign. It turns out that such a composite vortex condensed state is a bosonic topological insulator (BTI) with gapless boundary excitations protected by U(1) ⋊ Z[T over 2] symmetry. We point out that in BTI, an external π-flux monodromy defect carries a Kramers doublet. We propose lattice model Hamiltonians to realize the BTI phase, which might be implemented in cold atom systems or spin-1 solid state systems.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.113.267206
