Mott transition and integrable lattice models in two dimensions

• Autores: Bottesi, Federico L.; Zemba, Guillermo Raúl
• Año de publicación: 2008
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: arXiv. 2008
• Materia: TRANSICION DE MOTT; MATRICES DE INTERACCION ANTIFERROMAGNETICAS; ECUACION DE ZAMOLODCHIKOV; MODELO DE ISING; TEORIA DE CHERN SIMONS; FISICA
• Institución: Pontificia Universidad Católica Argentina

Fil: Bottesi, Federico L. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; Argentina
Fil: Zemba, Guillermo Raúl. Comisión Nacional de Energía Atómica. Laboratorio Tandor. Departamento de Física; Argentina
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.