Many-body localization and symmetry-protected topological order

Recent work shows that highly excited many-body localized eigenstates can exhibit broken symmetries and topological order, including in dimensions where such order would be forbidden in equilibrium. In this paper we extend this analysis to discrete symmetry-protected order via the explicit examples...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-04, Vol.89 (14), Article 144201
Main Authors: Chandran, Anushya, Khemani, Vedika, Laumann, C. R., Sondhi, S. L.
Format: Article
Language:English
Subjects:
Broken symmetry
Condensed matter
Excitation
Ising model
Localization
Position (location)
Symmetry
Topology
Two dimensional
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Summary:Recent work shows that highly excited many-body localized eigenstates can exhibit broken symmetries and topological order, including in dimensions where such order would be forbidden in equilibrium. In this paper we extend this analysis to discrete symmetry-protected order via the explicit examples of the Haldane phase of one-dimensional spin chains and the topological Ising paramagnet in two dimensions. We comment on the challenge of extending these results to cases where the protecting symmetry is continuous.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.89.144201