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

G. Mohler·D. Stroud
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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 $ω_{pl}^2$. The transverse component of the field has very little effect on the position of the melting curve.

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G. Mohler, D. Stroud. 2000-09-28. Tilt Modulus and Angle-Dependent Flux Lattice Melting in the Lowest Landau Level Approximation. https://doi.org/10.1103/physrevb.62.r14665

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