Vison crystals, chiral and crystalline phases in the Yao-Lee model

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Akram, Muhammad, Nica, Emilian Marius, Lu, Yuan-Ming, Erten, Onur
Formato: Preprint
Publicado: 2023
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866913192866742272
author Akram, Muhammad
Nica, Emilian Marius
Lu, Yuan-Ming
Erten, Onur
author_facet Akram, Muhammad
Nica, Emilian Marius
Lu, Yuan-Ming
Erten, Onur
contents We study the phase diagram of the Yao-Lee model with Kitaev-type spin-orbital interactions in the presence of Dzyaloshinskii-Moriya interactions and external magnetic fields. Unlike the Kitaev model, the Yao-Lee model can still be solved exactly under these perturbations due to the enlarged local Hilbert space. Through a variational analysis, we obtain a rich ground state phase diagram that consists of a variety of vison crystals with periodic arrangements of background Z2 flux (i.e. visons). With an out-of-plane magnetic field, these phases have gapped bulk and chiral edge states, characterized by a Chern number ν and an associated chiral central charge c_{-} = ν/2 of edge states. We also find helical Majorana edge states that are protected by magnetic mirror symmetry. Our results spotlight the tunability and the accompanying rich physics in exactly-solvable spin-orbital generalizations of the Kitaev model.
format Preprint
id arxiv_https___arxiv_org_abs_2304_09891
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Vison crystals, chiral and crystalline phases in the Yao-Lee model
Akram, Muhammad
Nica, Emilian Marius
Lu, Yuan-Ming
Erten, Onur
Strongly Correlated Electrons
We study the phase diagram of the Yao-Lee model with Kitaev-type spin-orbital interactions in the presence of Dzyaloshinskii-Moriya interactions and external magnetic fields. Unlike the Kitaev model, the Yao-Lee model can still be solved exactly under these perturbations due to the enlarged local Hilbert space. Through a variational analysis, we obtain a rich ground state phase diagram that consists of a variety of vison crystals with periodic arrangements of background Z2 flux (i.e. visons). With an out-of-plane magnetic field, these phases have gapped bulk and chiral edge states, characterized by a Chern number ν and an associated chiral central charge c_{-} = ν/2 of edge states. We also find helical Majorana edge states that are protected by magnetic mirror symmetry. Our results spotlight the tunability and the accompanying rich physics in exactly-solvable spin-orbital generalizations of the Kitaev model.
title Vison crystals, chiral and crystalline phases in the Yao-Lee model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2304.09891