Superconducting Coherence and the Helicity Modulus in Vortex Line Models

Abstract

We show how commonly used models for vortex lines in three dimensional superconductors can be modified to include k=0 excitations. We construct a formula for the k=0 helicity modulus in terms of fluctuations in the projected area of vortex loops. This gives a convenient criterion for the presence of superconducting coherence. We also present Monte Carlo simulations of a continuum vortex line model for the melting of the Abrikosov vortex lattice in pure YBCO.

4 pages RevTeX, 2 eps figures included using epsf

References in corpus (4)

• Characteristics of First-Order Vortex Lattice Melting: Jumps in Entropy and Magnetization
• Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High-$T_c$ Superconductors
• Critical Behavior of the Meissner Transition in the Lattice London Superconductor
• Magnetization Jump in a Model for Flux Lattice Melting at Low Magnetic Fields

Cited by in corpus (6)

• Do Vortices Entangle?
• Vortex glass transition in a random pinning model
• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors
• Evidence of Two Distinct Dynamic Critical Exponents in Connection with Vortex Physics
• Unscreened universality class for superconductors with columnar disorder
• Scaling of the magnetic permeability at the Berezinskii-Kosterlitz-Thouless transition from Coulomb gas simulations