Universality class of the Mott transition in two dimensions

Autor:	S. Moukouri, Eitan Eidelstein
Rok vydání:	2012
Předmět:	Condensed Matter::Quantum Gases Physics Condensed matter physics Hubbard model Fermi surface Approx Renormalization group Condensed Matter Physics Electronic Optical and Magnetic Materials Mott transition Condensed Matter::Strongly Correlated Electrons Ising model Anisotropy Critical exponent
Zdroj:	Physical Review B. 86
ISSN:	1550-235X 1098-0121
Popis:	We use the two-step density-matrix renormalization group method to elucidate the long-standing issue of the universality class of the Mott transition in the Hubbard model in two dimensions. We studied a spatially anisotropic two-dimensional Hubbard model with a nonperfectly nested Fermi surface at half-filling. We find that unlike the pure one-dimensional case where there is no metallic phase, the quasi-one-dimensional model displays a genuine metal-insulator transition at a finite value of the interaction. The critical exponent of the correlation length is found to be $\ensuremath{\nu}\ensuremath{\approx}1.0$. This implies that the fermionic Mott transition belongs to the universality class of the 2D Ising model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0b73ccc0edcdb3df71d736d8490f7e8a https://doi.org/10.1103/physrevb.86.155112 Zobrazit plný text záznamu