Superfluid density and the Drude weight of the Hubbard model

• Published in: Physical review letters Vol. 68; no. 18; pp. 2830 - 2833
• Main Authors: SCALAPINO, D. J, WHITE, S. R, ZHANG, S. C
• Format: Journal Article
• Language: English
• Published: Ridge, NY American Physical Society 04-05-1992
• Subjects: 665000 - Physics of Condensed Matter- (1992-); 665411 - Basic Superconductivity Studies- (1992-); CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Condensed matter: electronic structure, electrical, magnetic, and optical properties; ELECTRIC CONDUCTIVITY; ELECTRICAL PROPERTIES; ELECTRON-ELECTRON INTERACTIONS; ENERGY LEVELS; Exact sciences and technology; GROUND STATES; INTERACTIONS; LEPTON-LEPTON INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; MONTE CARLO METHOD; PARTICLE INTERACTIONS; PHYSICAL PROPERTIES; Physics; SUPERCONDUCTIVITY; SUPERFLUIDITY; Theory and models of superconducting state; Monte Carlo method; Attraction interaction; Superconductivity; Theoretical study; Hubbard model; Numerical simulation; Two dimensional model; Superfluidity; Repulsion interaction
• ISSN: 0031-9007; 1079-7114
• DOI: 10.1103/PhysRevLett.68.2830

We study the superfluid density and the Drude weight of the Hubbard model by investigating two different limiting behaviors of the current-current correlation function. These quantities provide criteria which allow one to distinguish between superconducting, metallic, and insulating ground states of an interacting many-body system. Monte Carlo calculations are performed to study these quantities.