Disorder effects in the Z3 Fock parafermion chain

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

Research output: Contribution to journalArticleAcademicpeer-review


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
Issue number23
Publication statusPublished - 15 Dec 2022


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