Tilt Modulus and Angle-Dependent Flux Lattice Melting in the Lowest Landau Level Approximation

Abstract

For a clean high-T${}_c$ superconductor, we analyze the Lawrence-Doniach free energy in a tilted magnetic field within the lowest Landau level (LLL) approximation. The free energy maps onto that of a strictly $c$-axis field, but with a reduced interlayer coupling. We use this result to calculate the tilt modulus $C_{44}$ of a vortex lattice and vortex liquid. The vortex contribution to $C_{44}$ can be expressed in terms of the squared $c$-axis Josephson plasmon frequency ${\omega }_{pl}^2$. The transverse component of the field has very little effect on the position of the melting curve.

8 pages, 2 figures, accepted for publication in Physical Review B (Rapid Communications)

References in corpus (3)

• Universal Phase Diagram for Vortex States of Layered Superconductors in Strong Magnetic Fields
• Anharmonicity of flux lattices and thermal fluctuations in layered superconductors
• Nonlinear Hydrodynamics of Disentangled Flux-Line Liquids

Cited by in corpus (1)

• Correlation lengths for vortex-liquid freezing in a model of layered high-temperature superconductor