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 language | English |
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Article number | 235132 |
Pages (from-to) | 1-7 |
Number of pages | 7 |
Journal | Physical Review B |
Volume | 106 |
Issue number | 23 |
DOIs | |
Publication status | Published - 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:
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