Nonlinear hydrodynamics and tilt modulus of flux-line liquids

Panayotis Benetatos, M. Cristina Marchetti

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 (Formula presented) of the flux array. We show that interaction effects can enhance (Formula presented) 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.

Original languageEnglish (US)
Pages (from-to)6499-6516
Number of pages18
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number9
StatePublished - 1999

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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