Finite-Temperature Phase Diagram of the Hubbard Model

Details Finite-Temperature Phase Diagram of the Hubbard Model Finite-Temperature Phase Diagram of the Hubbard Model

1998-11-16

arxiv.org/abs/cond-mat/9811233v2

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex, 5 pages, 3 figures submitted to PRL

Scientific paper

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.

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