Effective field theory and integrability in two-dimensional Mott transition

Abstract: We study the Mott transition in a two-dimensional lattice spinless fermion model with nearest neighbors density-density interactions. By means of a two-dimensional Jordan-Wigner transformation, the model is mapped onto the lattice XXZ spin model, which is shown to possess a Quantum Group s...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bottesi, Federico L., Zemba, Guillermo Raúl
Formato: Documento de trabajo
Lenguaje:Inglés
Publicado: 2019
Materias:
TRANSICION DE MOTT
MODELO BIDIMENSIONAL
TEORIA DE CHERN SIMONS
MODELO DE ISING
FISICA
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/5475
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
id I33-R139123456789-5475
record_format dspace
institution Universidad Católica Argentina
institution_str I-33
repository_str R-139
collection Repositorio Institucional de la Universidad Católica Argentina (UCA)
language Inglés
topic TRANSICION DE MOTT
MODELO BIDIMENSIONAL
TEORIA DE CHERN SIMONS
MODELO DE ISING
FISICA
spellingShingle TRANSICION DE MOTT
MODELO BIDIMENSIONAL
TEORIA DE CHERN SIMONS
MODELO DE ISING
FISICA
Bottesi, Federico L.
Zemba, Guillermo Raúl
Effective field theory and integrability in two-dimensional Mott transition
topic_facet TRANSICION DE MOTT
MODELO BIDIMENSIONAL
TEORIA DE CHERN SIMONS
MODELO DE ISING
FISICA
description Abstract: We study the Mott transition in a two-dimensional lattice spinless fermion model with nearest neighbors density-density interactions. By means of a two-dimensional Jordan-Wigner transformation, the model is mapped onto the lattice XXZ spin model, which is shown to possess a Quantum Group symmetry as a consequence of a recently found solution of the Zamolodchikov Tetrahedron Equation. A projection (from three to two space-time dimen- sions) property of the solution is used to identify the symmetry of the model at the Mott critical point as Uq([sl(2)) ⊗ Uq([sl(2)), with deformation param- eter q = −1. Based on this result, the low-energy Effective Field theory for the model is obtained and shown to be a lattice double Chern-Simons theory with coupling constant k = 1 (with the standard normalization). By further employing the Effective Filed Theory methods, we show that the Mott transi- tion that arises is of topological nature, with vortices in an antiferromagnetic array and matter currents characterized by a d-density wave order parameter. We also analyze the behavior of the system upon weak coupling, and conclude that it undergoes a quantum gas-liquid transition which belongs to the Ising universality class.
format Documento de trabajo
author Bottesi, Federico L.
Zemba, Guillermo Raúl
author_facet Bottesi, Federico L.
Zemba, Guillermo Raúl
author_sort Bottesi, Federico L.
title Effective field theory and integrability in two-dimensional Mott transition
title_short Effective field theory and integrability in two-dimensional Mott transition
title_full Effective field theory and integrability in two-dimensional Mott transition
title_fullStr Effective field theory and integrability in two-dimensional Mott transition
title_full_unstemmed Effective field theory and integrability in two-dimensional Mott transition
title_sort effective field theory and integrability in two-dimensional mott transition
publishDate 2019
url https://repositorio.uca.edu.ar/handle/123456789/5475
work_keys_str_mv AT bottesifedericol effectivefieldtheoryandintegrabilityintwodimensionalmotttransition
AT zembaguillermoraul effectivefieldtheoryandintegrabilityintwodimensionalmotttransition
bdutipo_str Repositorios
_version_ 1764820527378071553

Ejemplares similares