| Texto completo | |
| Autor(es): |
Teixeira, Raphael L. R. C.
;
Dias da Silva, Luis G. G., V
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW B; v. 105, n. 19, p. 12-pg., 2022-05-13. |
| Resumo | |
Parafermion modes are non-Abelian anyons which were introduced as ZN generalizations of Z(2) Majorana states. In particular, Z(3) parafermions can be used to produce Fibonacci anyons, laying a path towards universal topological quantum computation. Due to their fractional nature, much of the theoretical work on Z(3) parafermions has relied on bosonization methods or parafermionic quasiparticles. In this paper, we introduce a representation of Z(3) parafermions in terms of purely fermionic models. We establish the equivalency of a family of lattice fermionic models written in the basis of the t - J model with a Kitaev-like chain supporting free Z3 parafermionic modes at its ends. By using density matrix renormalization group calculations, we are able to characterize the topological phase transition and study the effect of local operators (doping and magnetic fields) on the spatial localization of the parafermionic modes and their stability. Moreover, we discuss the necessary ingredients towards realizing Z(3) parafermions in strongly interacting electronic systems. (AU) | |
| Processo FAPESP: | 19/11550-8 - Modos parafermiônicos em sistemas de elétrons correlacionados |
| Beneficiário: | Raphael Levy Ruscio Castro Teixeira |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 21/07602-2 - Excitações parafermionicas em estados de bordas de sistemas Hall quântico fracionário com supercondutividade |
| Beneficiário: | Raphael Levy Ruscio Castro Teixeira |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Doutorado |