Symmetry-breaking topological insulators in the Z^sub 2^ Bose-Hubbard model

We study a one-dimensional model of interacting bosons coupled to a dynamical Z2 field, the Z2 Bose-Hubbard model, and analyze the interplay between spontaneous symmetry breaking and topological symmetry protection. In a previous work, we showed how this model exhibits a spontaneous breaking of the...

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Bibliographic Details
Published in:Physical review. B 2019-01, Vol.99 (4), p.045139
Main Authors: González-Cuadra, Daniel, Dauphin, Alexandre, Grzybowski, Przemysław R, Wójcik, Paweł, Lewenstein, Maciej, Bermudez, Alejandro
Format: Article
Language:English
Subjects:
Bosons
Broken symmetry
Long range order
Mathematical models
Numerical methods
One dimensional models
Symmetry
Topological insulators
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Summary:We study a one-dimensional model of interacting bosons coupled to a dynamical Z2 field, the Z2 Bose-Hubbard model, and analyze the interplay between spontaneous symmetry breaking and topological symmetry protection. In a previous work, we showed how this model exhibits a spontaneous breaking of the translational symmetry through a bosonic Peierls transition. Here we find how, at half filling, the resulting phase also displays topological features that coexist with the presence of long-range order and yields a topological bond order wave. Using both analytical and numerical methods, we describe the properties of this phase, showing that it cannot be adiabatically connected to a topological phase of noninteracting bosons, and thus constitutes an instance of an interaction-induced symmetry-breaking topological insulator.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.99.045139