Exact transformation of the anisotropic Ginzburg-Landau model and its consequences

Conference · Fri Oct 01 00:00:00 EDT 1993

OSTI ID:10192211

Klemm, R A

Line energy of a single magnetic vortex at an arbitrary direction in an anisotropic superconductor is evaluated in three different phenomenological models: anisotropic London anisotropic Ginzburg-Landau and Lawrence-Doniach models. Vortex line energy in anisotropic London can be solved by Fourier transformation, but core cutoff is not present. Using the Klemm-Clem transformations of the free energy and vortex coordinates in the anisotropic Ginzburg-Landau model, a theorem relating shape of effective core cross-section in anisotropic London model to that in anisotropic Ginzburg-Landau model is presented. This theorem allows the anisotropic London model to be used in the entire regime H{sub c1} {le} H < < H{sub c2} regardless of anisotropy and field direction. Resulting lower critical field H{sub c1} ({theta}{sub H}) can exhibit a discontinuity, a kink, or monotonic angular dependence. The transformations are applied to the case of a core cross-section of a single vortex in Lawrence-Doniach model, and angular dependence of magnetic torque is calculated. The torque exhibits the expected dimensional crossover, having an angular dependence which reduces to an anisotropic Ginzburg-Landau superconductor near Tc, and to a lattice of decoupled, parallel Josephson junctions well below dimensional crossover temperature T*. In the vicinity of T*, however, dramatic oscillations in angular dependence of torque are predicted.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 10192211
• Report Number(s): ANL/MSD/CP-81086; CONF-930738-1; ON: DE94002208
• Resource Relation: Conference: Joint summer research conferences in the mathematical sciences: mathematics of superconductivity,Seattle, WA (United States),24-30 Jul 1993; Other Information: PBD: Oct 1993
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
TYPE-II SUPERCONDUCTORS
LAYERS
MAGNETIC FLUX
ENERGY
SUPERCONDUCTIVITY
ANISOTROPY
HIGH-TC SUPERCONDUCTORS
GINZBURG-LANDAU THEORY
CRITICAL FIELD
TORQUE
LONDON EQUATION
EQUATIONS
FREE ENERGY
FREE ENTHALPY
TRANSFORMATIONS
FOURIER TRANSFORMATION
MAGNETIC FIELDS
OSCILLATIONS
665411
BASIC SUPERCONDUCTIVITY STUDIES