Quantum Monte Carlo study of the three-dimensional attractive Hubbard model
Abstract
We study the three-dimensional (3D) attractive Hubbard model by means of the determinant quantum Monte Carlo method. This model is a prototype for the description of the smooth crossover between BCS superconductivity and Bose-Einstein condensation. By detailed finite-size scaling we extract the finite-temperature phase diagram of the model. In particular, we interpret the observed behavior according to a scenario of two fundamental temperature scales; T* associated with Cooper pair formation and Tc with condensation (giving rise to long-range superconducting order). Our results also indicate the presence of a recently conjectured phase transition hidden by the superconducting state. A comparison with the 2D case is briefly discussed, given its relevance for the physics of high-Tc cuprate superconductors.
- Publication:
-
Physical Review B
- Pub Date:
- October 2002
- DOI:
- 10.1103/PhysRevB.66.140504
- arXiv:
- arXiv:cond-mat/0204053
- Bibcode:
- 2002PhRvB..66n0504S
- Keywords:
-
- 74.20.Fg;
- BCS theory and its development;
- Condensed Matter
- E-Print:
- 4 pages, 4 Postscript figures