https://doi.org/10.1007/s100510070120
Phase diagram of the three-dimensional Hubbard model at half filling
1
Institute of Physics, University of Augsburg,
Universitätsstraße 1, 86135 Augsburg, Germany
2
Institute of Physics, University of Stuttgart,
Pfaffenwaldring 57, 70550 Stuttgart, Germany
Received:
11
April
2000
Published online: 15 October 2000
We investigate the phase diagram of the three-dimensional Hubbard model at half filling using quantum Monte Carlo (QMC) simulations. The antiferromagnetic Néel temperature TN is determined from the specific heat maximum in combination with finite-size scaling of the magnetic structure factor. Our results interpolate smoothly between the asymptotic solutions for weak and strong coupling, respectively, in contrast to previous QMC simulations. The location of the metal-insulator transition in the paramagnetic phase above TN is determined using the electronic compressibility as criterion.
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 71.10.Hf – Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems / 71.30.+h – Metal-insulator transitions and other electronic transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000