Many-body localization of 
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 Fock parafermions

Bahovadinov, M. S.; Buijsman, Wouter; Fedorov, Aleksey K.; Gritsev, Vladimir; Kurlov, D. V.

doi:10.1103/physrevb.106.224205

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“…One should note that in contrast to Ref. [63] we do not impose the condition L j=1 μ j = 0, so a quantitative comparison of the results is not possible.…”

Section: Discussionmentioning

confidence: 94%

See 1 more Smart Citation

Disorder effects in the Z3 Fock parafermion chain

Camacho

Vahedi²,

Schuricht³

et al. 2022

Phys. Rev. B

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We study the effects of disorder in a one-dimensional model of Z 3 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 finitesize 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.

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“…One should note that in contrast to Ref. [63] we do not impose the condition L j=1 μ j = 0, so a quantitative comparison of the results is not possible.…”

Section: Discussionmentioning

confidence: 94%

“…We note that the pure tight-binding Fock parafermion chain (g = 0) with disordered potential has been studied in Ref. [63] as well. As far as our studies overlap, all results are in qualitative agreement with our findings.…”

Section: Discussionmentioning

confidence: 99%