Altland, Alexander and Micklitz, Tobias (2017). Field Theory Approach to Many-Body Localization. Phys. Rev. Lett., 118 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We introduce an analytic approach to many-body localization (MBL) in random spin chains. We consider MBL within a first quantized framework where it becomes a localization phenomenon in the high-dimensional lattice defined by the Hilbert space of the clean system. Designed in analogy with the field-theory description of single particle localization, our approach describes wave package propagation on that lattice after a disorder average has been performed and the system is controlled by only a few universal parameters. We discuss the stability of an ergodic weak disorder and a localized strong disorder phase, respectively, and demonstrate that the latter is protected by mechanisms which put MBL outside the universality class of Anderson localization.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Altland, AlexanderUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Micklitz, TobiasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-236350
DOI: 10.1103/PhysRevLett.118.127202
Journal or Publication Title: Phys. Rev. Lett.
Volume: 118
Number: 12
Date: 2017
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SPIN CHAINS; TRANSITIONMultiple languages
Physics, MultidisciplinaryMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/23635

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