Classical Phase Fluctuations in High Temperature Superconductors

E. W. Carlson; S. A. Kivelson; V. J. Emery; E. Manousakis

doi:10.1103/PhysRevLett.83.612

Classical Phase Fluctuations in High Temperature Superconductors

E. W. Carlson, S. A. Kivelson, V. J. Emery, and E. Manousakis

Phys. Rev. Lett. 83, 612 – Published 19 July 1999

Abstract

Phase fluctuations of the superconducting order parameter play a larger role in the cuprates than in conventional BCS superconductors because of the low superfluid density $ρ_{s}$ of a doped insulator. In this paper, we analyze an $XY$ model of classical phase fluctuations in the high temperature superconductors using a low temperature expansion and Monte Carlo simulations. In agreement with experiment, the value of $ρ_{s}$ at temperature $T = 0$ is a quite robust predictor of $T_{c}$ , and the evolution of $ρ_{s}$ with $T$ , including its $T$ -linear behavior at low temperature, is insensitive to microscopic details.

Received 19 January 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.612

Authors & Affiliations

E. W. Carlson¹, S. A. Kivelson¹, V. J. Emery², and E. Manousakis³

¹Department of Physics, U.C.L.A., Los Angeles, California 90095
²Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000
³Department of Physics and MARTECH, Florida State University, Tallahassee, Florida 32306-4350