https://doi.org/10.1007/s100510070153
Finite-temperature phase diagram of the Hubbard model
1
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
2
Feza Gürsey Research Center for Basic Sciences, Çengelköy, Istanbul 81220, Turkey
3
Department of Physics, Istanbul Technical University, Maslak, Istanbul 80626, Turkey
Received:
29
May
2000
Published online: 15 September 2000
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 
phase in which the electron hopping
strength t asymptotically becomes infinite under repeated rescalings. Next
to the phase, a first-order phase boundary with very narrow phase
separation (less than 2% jump in electron density) occurs. At temperatures
above the phase, an incommensurate spin modulation phase is
indicated. In d=2, we find that the Hubbard model has no phase transition
at finite temperature.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 74.25.Dw – Superconductivity phase diagrams / 05.30.Fk – Fermion systems and electron gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
