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1D Many-body localized Floquet systems II: Symmetry-Broken phases

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arxiv 1602.06949 v2 pith:OEQBWVG6 submitted 2016-02-22 cond-mat.str-el cond-mat.dis-nn

classification cond-mat.str-elcond-mat.dis-nn
keywords floquetphasessystemsclassificationlocalizedmany-bodyworkappear
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abstract

Recent work suggests that a sharp definition of `phase of matter' can be given for periodically driven `Floquet' quantum systems exhibiting many-body localization. In this work we propose a classification of the phases of interacting Floquet localized systems with (completely) spontaneously broken symmetries -- we focus on the one dimensional case, but our results appear to generalize to higher dimensions. We find that the different Floquet phases correspond to elements of $Z(G)$, the centre of the symmetry group in question. In a previous paper we offered a companion classification of unbroken, i.e., paramagnetic phases.

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  1. Long-Range Prethermal Phases of Nonequilibrium Matter

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    The paper proves, with one explicit assumption in the intermediate regime, that prethermal Floquet phases exist for power-law interacting systems with exponent alpha > d, and predicts a disorder-free one-dimensional p...

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