Finite-temperature phase diagram of the Hubbard model

Migliorini G., Berker A.

EUROPEAN PHYSICAL JOURNAL B, vol.17, no.1, pp.3-6, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2000
  • Doi Number: 10.1007/s100510070153
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3-6
  • Istanbul Technical University Affiliated: No


The finite-temperature phase diagram of the Hubbard model in d = 3 is obtained from renormalization-group analysis. It exhibits, around half filling, an antiferromagnetic phase and, between 30%-40% electron or hole doping from half filling, a new tau phase in which the electron hopping strength t asymptotically becomes infinite under repeated rescalings. Next to the tau phase, a first-order phase boundary with very narrow phase separation (less than 2% jump in electron density) occurs. At temperatures above the tau phase, an incommensurate spin modulation phase is indicated. In d = 2, we find that the Hubbard model has no phase transition at finite temperature.