Langevin vortex dynamics for a layered superconductor in the lowest Landau level approximation

Abstract

We have numerically investigated the dynamics of vortices in a clean layered superconductor placed in a perpendicular magnetic field. We describe the energetics using a Ginzburg-Landau free energy functional in the lowest Landau level approximation. The dynamics are determined using the time-dependent Ginzburg-Landau approximation, and thermal fluctuations are incorporated via a Langevin term. The c-axis conductivity at nonzero frequencies, as calculated from the Kubo formalism, shows a strong but not divergent increase as the melting temperature $T_M$ is approached from above, followed by an apparently discontinuous drop at the vortex lattice freezing temperature. The discontinuity is consistent with the occurrence of a first-order freezing. The calculated equilibrium properties agree with previous Monte Carlo studies using the same Hamiltonian. We briefly discuss the possibility of detecting this fluctuation conductivity experimentally.

arXiv commentTo be published in Phys. Rev. B

References in corpus (7)

• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Vortices and 2D bosons: A Path-Integral Monte Carlo Study
• Universal Phase Diagram for Vortex States of Layered Superconductors in Strong Magnetic Fields
• First-Order Melting and Dynamics of Flux Lines in a Model for YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Numerical study of vortex matter using the Bose model: First-order melting and entanglement
• Numerical studies of the phase diagram of layered type II superconductors in a magnetic field
• Numerical Investigation of the Dynamics of a Thin Film Type II Superconductor with and without Disorder

Cited by in corpus (2)

• Magnetic Field Induced Vortex Lattice Transition in HgBa${}_2$CuO${}_{4+\delta }$
• Time-dependent Ginzburg-Landau theory of the vortex spin Hall effect