Complete Many-Body Localization in the t-J Model Caused by a Random Magnetic Field

The many body localization (MBL) of spin-1/2 fermions poses a challenging problem. It is known that the disorder in the charge sector may be insufficient to cause full MBL. Here, we study dynamics of a single hole in one dimensional t-J model subject to a random magnetic field. We show that strong d...

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Bibliographic Details
Published inPhysical review letters Vol. 119; no. 24; p. 246601
Main Authors Lemut, Gal, Mierzejewski, Marcin, Bonča, Janez
Format Journal Article
LanguageEnglish
Published United States 15.12.2017
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Summary:The many body localization (MBL) of spin-1/2 fermions poses a challenging problem. It is known that the disorder in the charge sector may be insufficient to cause full MBL. Here, we study dynamics of a single hole in one dimensional t-J model subject to a random magnetic field. We show that strong disorder that couples only to the spin sector localizes both spin and charge degrees of freedom. Charge localization is confirmed also for a finite concentration of holes. While we cannot precisely pinpoint the threshold disorder, we conjecture that there are two distinct transitions. Weaker disorder first causes localization in the spin sector. Carriers become localized for somewhat stronger disorder, when the spin localization length is of the order of a single lattice spacing.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.119.246601