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

• Published in: arXiv.org
• Main Authors: von Keyserlingk, C W, Sondhi, S L
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 24.11.2016
• Subjects: Classification; Many body interactions; Phases; Physics - Disordered Systems and Neural Networks; Physics - Strongly Correlated Electrons; Symmetry
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1602.06949

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.