Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in twodimensional Hubbard models
Abstract
Based on extensions of quantum Monte Carlo algorithms to incorporate magnetic fields, two criteria to detect superconductivity in twodimensional Hubbard models are investigated. We calculate both the internal energy [ital E]([Phi],[ital T]) as well as the groundstate energy, [ital E][sub 0]([Phi]), for Hubbard models on a cylinder geometry threaded by a flux [Phi]. The temperature derivative of the superfluid density, [partial derivative][beta][ital D][sub [ital s]]([beta])/[partial derivative][beta], is obtained from the difference in internal energy of systems which differ by a phase twist [pi]/2 in the boundary condition along one lattice direction. In the framework of a KosterlitzThouless transition, [partial derivative][beta][ital D][sub [ital x]]([beta])/[partial derivative][beta] scales to a Dirac [delta] function at the transition temperature. On finitesized lattices, [partial derivative][beta][ital D][sub [ital s]]([beta])/[partial derivative][beta] shows a response which increases with lattice size. From the functional form of [ital E][sub 0]([Phi]), superconducting or nonsuperconducting ground states may be identified. In both approaches, superconductivity may be detected without prior knowledge of the symmetry and nature of the pairing correlations. For singleband Hubbard models, our results include numerical data which (a) confirm the existence and pin down the transition temperature of a KosterlitzThoulesstype transition in the attractive Hubbard model away from halfband filling andmore »
 Authors:

 Physikalisches Institut, Universitaet Wuerzburg, 97074 Wuerzburg (Germany)
 Department of Physics, University of California, Santa Barbara, California 931069530 (United States)
 Publication Date:
 OSTI Identifier:
 6903794
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, B: Condensed Matter; (United States)
 Additional Journal Information:
 Journal Volume: 50:17; Journal ID: ISSN 01631829
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HUBBARD MODEL; SUPERCONDUCTIVITY; FLUX QUANTIZATION; KOSTERLITZTHOULESS THEORY; MAGNETIC FLUX; MONTE CARLO METHOD; SUPERFLUID MODEL; TWODIMENSIONAL CALCULATIONS; CALCULATION METHODS; CRYSTAL MODELS; ELECTRIC CONDUCTIVITY; ELECTRICAL PROPERTIES; MATHEMATICAL MODELS; NUCLEAR MODELS; PHYSICAL PROPERTIES; 665411*  Basic Superconductivity Studies (1992)
Citation Formats
Assaad, F F, Hanke, W, and Scalapino, D J. Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in twodimensional Hubbard models. United States: N. p., 1994.
Web. doi:10.1103/PhysRevB.50.12835.
Assaad, F F, Hanke, W, & Scalapino, D J. Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in twodimensional Hubbard models. United States. doi:10.1103/PhysRevB.50.12835.
Assaad, F F, Hanke, W, and Scalapino, D J. Tue .
"Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in twodimensional Hubbard models". United States. doi:10.1103/PhysRevB.50.12835.
@article{osti_6903794,
title = {Temperature derivative of the superfluid density and flux quantization as criteria for superconductivity in twodimensional Hubbard models},
author = {Assaad, F F and Hanke, W and Scalapino, D J},
abstractNote = {Based on extensions of quantum Monte Carlo algorithms to incorporate magnetic fields, two criteria to detect superconductivity in twodimensional Hubbard models are investigated. We calculate both the internal energy [ital E]([Phi],[ital T]) as well as the groundstate energy, [ital E][sub 0]([Phi]), for Hubbard models on a cylinder geometry threaded by a flux [Phi]. The temperature derivative of the superfluid density, [partial derivative][beta][ital D][sub [ital s]]([beta])/[partial derivative][beta], is obtained from the difference in internal energy of systems which differ by a phase twist [pi]/2 in the boundary condition along one lattice direction. In the framework of a KosterlitzThouless transition, [partial derivative][beta][ital D][sub [ital x]]([beta])/[partial derivative][beta] scales to a Dirac [delta] function at the transition temperature. On finitesized lattices, [partial derivative][beta][ital D][sub [ital s]]([beta])/[partial derivative][beta] shows a response which increases with lattice size. From the functional form of [ital E][sub 0]([Phi]), superconducting or nonsuperconducting ground states may be identified. In both approaches, superconductivity may be detected without prior knowledge of the symmetry and nature of the pairing correlations. For singleband Hubbard models, our results include numerical data which (a) confirm the existence and pin down the transition temperature of a KosterlitzThoulesstype transition in the attractive Hubbard model away from halfband filling and (b) show that the quarterfilled repulsive Hubbard model is not superconducting. For the threeband Hubbard model we consider two parameter sets which take into account the differences in static magnetic structure and Fermi surfaces between LaSrCuO and YBaCuO materials. For both parameter sets, the finitetemperature approach showed no sign of a KosterlitzThoulesstype transition up to inverse temperatures [beta]=17.5, in units of CuO hopping.},
doi = {10.1103/PhysRevB.50.12835},
journal = {Physical Review, B: Condensed Matter; (United States)},
issn = {01631829},
number = ,
volume = 50:17,
place = {United States},
year = {1994},
month = {11}
}