Mott transition and integrable lattice models in two dimensions

dc.creatorBottesi, Federico L.
dc.creatorZemba, Guillermo R.
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:10:53Z
dc.date.available2026-07-07T12:10:53Z
dc.descriptionWe 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 \su2 \otimes \su2. 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.
dc.description6 pages, two column format
dc.identifierhttps://arxiv.org/abs/0812.1764
dc.identifierhttp://arxiv.org/abs/0812.1764
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210061
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleMott transition and integrable lattice models in two dimensions
dc.typetext

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