1998/07/01 by R. T. Scalettar, Richard T. Scalettar, Nandini Trivedi +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Charge (physics) #Condensed matter physics #Hubbard model #Mathematics #Monte Carlo method #Optical conductivity #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Spin (aerodynamics) #Statistical physics #Superconductivity #Superfluidity #Thermodynamics #cond-mat.dis-nn #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.59.4364
15 pages, 19 figures
arxiv created 1998/07/01 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the disorder-driven superconductor to insulator quantum phase transition (SIT) in an interacting fermion model using determinantal quantum Monte Carlo (QMC) methods. The disordered superconductor is modeled by an attractive Hubbard model with site disorder chosen randomly from a uniform distribution. The superconducting state which exists for small disorder is shown to evolve into an insulating phase beyond a critical disorder. The transition is tracked by the vanishing of (a) the superfluid stiffness, and (b) the charge stiffness or the delta function peak in the optical conductivity at zero frequency. We also show the behavior of the charge, spin, pair, and current correlations in the presence of disorder. Results for the temperature dependence of the dc conductivity, obtained by an approximate analytic continuation technique, are also presented both in the metallic phase above Tc and the insulating phase. We discuss some of the complications in extracting the resistance at the transition point.