Nonlinear Hydrodynamics of Disentangled Flux-Line Liquids

Abstract

In this paper we use non-Gaussian hydrodynamics to study the magnetic response of a flux-line liquid in the mixed state of a type-II superconductor. Both the derivation of our model, which goes beyond conventional Gaussian flux liquid hydrodynamics, and its relationship to other approaches used in the literature are discussed. We focus on the response to a transverse tilting field which is controlled by the tilt modulus, c44, of the flux array. We show that interaction effects can enhance c44 even in infinitely thick clean materials. This enhancement can be interpreted as the appearance of a disentangled flux-liquid fraction. In contrast to earlier work, our theory incorporates the nonlocality of the intervortex interaction in the field direction. This nonlocality is crucial for obtaining a nonvanishing renormalization of the tilt modulus in the thermodynamic limit of thick samples.

20 pages, 3 figures (submitted to PRB)

References in corpus (2)

• Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High-$T_c$ Superconductors
• Numerical study of vortex matter using the Bose model: First-order melting and entanglement

Cited by in corpus (10)

• Do Vortices Entangle?
• Evidence for a Two-stage Melting Transition of the Vortex Matter in Bi2Sr2Ca1Cu2O8+d Single Crystals obtained by Muon Spin Rotation
• Random networks of cross-linked directed polymers
• Entanglement in Dilute Flux Line Liquids
• Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops
• A hydrodynamic approach to the Bose-Glass transition
• Variational theory of flux-line liquids
• Tilt Modulus and Angle-Dependent Flux Lattice Melting in the Lowest Landau Level Approximation
• Theory of disordered flux-line liquids
• Weak point disorder in strongly fluctuating flux-line liquids