Mott transition and integrable lattice models in two dimensions

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Abstract: We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional lattice systems. At the Mott transition, we find th...

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Autores principales: Bottesi, Federico L., Zemba, Guillermo Raúl
Formato: Artículo
Lenguaje:Inglés
Publicado: 2019
Materias:
TRANSICION DE MOTT
MATRICES DE INTERACCION ANTIFERROMAGNETICAS
ECUACION DE ZAMOLODCHIKOV
MODELO DE ISING
TEORIA DE CHERN SIMONS
FISICA
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/5494
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
id I33-R139-123456789-5494
record_format dspace
spelling I33-R139-123456789-54942024-07-04T12:18:50Z Mott transition and integrable lattice models in two dimensions Bottesi, Federico L. Zemba, Guillermo Raúl TRANSICION DE MOTT MATRICES DE INTERACCION ANTIFERROMAGNETICAS ECUACION DE ZAMOLODCHIKOV MODELO DE ISING TEORIA DE CHERN SIMONS FISICA Abstract: We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional lattice systems. At the Mott transition, we find that the system is in a d-density wave or staggered flux phase that can be described by a double Chern Simons effective theory with symmetry su(2)1 xsu(2)1. The Mott transition is of topological nature, characterized by the emergence of vortices in antiferromagnetic arrays interacting strongly with the electric charges and an electric-magnetic duality. We also consider the effect of small doping on this theory and show that it leads to a quantum gas-liquid coexistence phase, which belongs to the Ising universality class and which is consistent with several experimental observations. 2019-06-06T00:48:31Z 2019-06-06T00:48:31Z 2008 Artículo Bottesi FL, Zemba GR. Mott transition and integrable lattice models in two dimensions [en línea]. arXiv. 2008. Disponible en: https://repositorio.uca.edu.ar/handle/123456789/5494 https://repositorio.uca.edu.ar/handle/123456789/5494 10.48550/arXiv.0812.1764 0812.1764 eng Acceso Abierto https://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf arXiv. 2008
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
MATRICES DE INTERACCION ANTIFERROMAGNETICAS
ECUACION DE ZAMOLODCHIKOV
MODELO DE ISING
TEORIA DE CHERN SIMONS
FISICA
spellingShingle TRANSICION DE MOTT
MATRICES DE INTERACCION ANTIFERROMAGNETICAS
ECUACION DE ZAMOLODCHIKOV
MODELO DE ISING
TEORIA DE CHERN SIMONS
FISICA
Bottesi, Federico L.
Zemba, Guillermo Raúl
Mott transition and integrable lattice models in two dimensions
topic_facet TRANSICION DE MOTT
MATRICES DE INTERACCION ANTIFERROMAGNETICAS
ECUACION DE ZAMOLODCHIKOV
MODELO DE ISING
TEORIA DE CHERN SIMONS
FISICA
description Abstract: We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional lattice systems. At the Mott transition, we find that the system is in a d-density wave or staggered flux phase that can be described by a double Chern Simons effective theory with symmetry su(2)1 xsu(2)1. The Mott transition is of topological nature, characterized by the emergence of vortices in antiferromagnetic arrays interacting strongly with the electric charges and an electric-magnetic duality. We also consider the effect of small doping on this theory and show that it leads to a quantum gas-liquid coexistence phase, which belongs to the Ising universality class and which is consistent with several experimental observations.
format Artículo
author Bottesi, Federico L.
Zemba, Guillermo Raúl
author_facet Bottesi, Federico L.
Zemba, Guillermo Raúl
author_sort Bottesi, Federico L.
title Mott transition and integrable lattice models in two dimensions
title_short Mott transition and integrable lattice models in two dimensions
title_full Mott transition and integrable lattice models in two dimensions
title_fullStr Mott transition and integrable lattice models in two dimensions
title_full_unstemmed Mott transition and integrable lattice models in two dimensions
title_sort mott transition and integrable lattice models in two dimensions
publishDate 2019
url https://repositorio.uca.edu.ar/handle/123456789/5494
work_keys_str_mv AT bottesifedericol motttransitionandintegrablelatticemodelsintwodimensions
AT zembaguillermoraul motttransitionandintegrablelatticemodelsintwodimensions
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