Quantum Monte Carlo study of the 3D attractive Hubbard model

Details Quantum Monte Carlo study of the 3D attractive Hubbard model Quantum Monte Carlo study of the 3D attractive Hubbard model

2002-04-02

arxiv.org/abs/cond-mat/0204053v1

Physics

Condensed Matter

4 pages, 4 Postscript figures

Scientific paper

10.1103/PhysRevB.66.140504

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.

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