Disorder effects in the Z3 Fock parafermion chain

Gonzalo Camacho, Javad Vahedi, D. Schuricht, C. Karrasch

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the effects of disorder in a one-dimensional model of Z3 Fock parafermions which can be viewed as a generalization of the prototypical Kitaev chain. Exact diagonalization is employed to determine level statistics, participation ratios, and the dynamics of domain walls. This allows us to identify ergodic as well as finite-size localized phases. In order to distinguish Anderson from many-body localization, we calculate the time evolution of the entanglement entropy in random initial states using tensor networks. We demonstrate that a purely quadratic parafermion model does not feature Anderson but many-body localization due to the nontrivial statistics of the particles.

Original languageEnglish
Article number235132
Pages (from-to)1-7
Number of pages7
JournalPhysical Review B
Volume106
Issue number23
DOIs
Publication statusPublished - 15 Dec 2022

Bibliographical note

Funding Information:
We would like to thank V. Gritsev, F. Hassler, and D. Rossini for useful discussions. Support by the Emmy Noether program of the Deutsche Forschungsgemeinschaft is acknowledged (Grant No. KA 3360/2-1). We acknowledge support by “Niedersächsisches Vorab” through the Quantum- and Nano-Metrology (QUANOMET) initiative within the project P-1. This work is part of the D-ITP consortium, a program of the Dutch Research Council (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).

Publisher Copyright:
© 2022 American Physical Society.

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