2022
DOI: 10.48550/arxiv.2203.03554
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Free Fock parafermions in the tight-binding model with dissipation

Abstract: Parafermions that generalize (Majorana or usual) fermions appear as interacting quasi-particles because of their nature. Although attempts to develop models with free (non-interacting) parafermions have been undertaken, existing proposals require unphysical conditions such as realizing purely non-Hermitian systems. Here we present a way for the realization of free Fock parafermions in the tight-binding model with controlled dissipation of a very simple form. Introducing dissipation transforms an originally non… Show more

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Cited by 6 publications
(8 citation statements)
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“…This means that all the interaction is included now in the definition of the creation/annihilation operators. This is similar to parafermionic models [38][39][40], but in our case the non-trivial commutation relations arise from the local interaction in the model and not from pre-defined operator algebras. We recover the usual JW transformation in two special cases.…”
Section: The Solution Of the Modelsupporting
confidence: 59%
See 1 more Smart Citation
“…This means that all the interaction is included now in the definition of the creation/annihilation operators. This is similar to parafermionic models [38][39][40], but in our case the non-trivial commutation relations arise from the local interaction in the model and not from pre-defined operator algebras. We recover the usual JW transformation in two special cases.…”
Section: The Solution Of the Modelsupporting
confidence: 59%
“…In this model the scattering phases are constant statistical factors. This bears strong similarity with anyonic models [33][34][35][36][37], or parafermionic chains [38][39][40]. A crucial difference is that in our model the anyon-like phases arise from a local interaction defined in the standard spin basis.…”
Section: Introductionmentioning
confidence: 59%
“…Due to the generalized Pauli principle, more than one Fock parafermion can occupy a lattice site; coherent pair-hopping processes thus become possible, which yields further gapless phases [12]. Very recently, the effect of dissipation was also analyzed [13] which, under suitable conditions, leads to the emergence of a noninteracting singleparticle spectrum and dark states.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, our results can be alternatively formulated as follows: the quadratic tight-biding model of Z 3 FPFs exhibits manybody localization (and not the single-particle one) in the presence of random onsite potential solely due to the nontrivial FPF statistics. Low-energy properties of the generalized FPF tight-binding model that includes coherent pair hopping terms was also recently investigated [63], as well as the effects of dissipation on the FPF tight-binding chain [64].…”
Section: Introductionmentioning
confidence: 99%