2002/04/02 by Alain Sewer, A. Sewer, X. Zotos +2
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensation #Condensed matter physics #Cooper pair #Crossover #Cuprate #Hubbard model #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Scaling #Statistical physics #Superconductivity #Theoretical and Computational Physics #Thermodynamics #Variational Monte Carlo #cond-mat
paper · pdf · doi:10.1103/physrevb.66.140504
4 pages, 4 Postscript figures
arxiv created 2002/04/02 · openalex publication_date 2002/10/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.