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

2003/10/02 by W. A. Al-Saidi, D. Stroud
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.68.144511

published as Phys. Rev. B. 68, 144511 (2003). · To be published in Phys. Rev. B

arxiv created 2003/10/02 · openalex publication_date 2003/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 TM 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.

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