Universität zu Köln

Altland, Alexander ORCID: 0000-0002-2991-4805 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:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Micklitz, Tobias UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SPIN CHAINS; TRANSITION Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23635