Differential renormalization-group approach to the layered sine-Gordon model

Research output: Contribution to journalArticle

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Abstract

A new qualitative view of vortex length-scale dependence has been Found in recent electrical transport measurements performed on strongly anisotropic Bi2Sr2CaCu2O8 single crystals in zero magnetic field. This indicates the need for a better description of the 3D/2D crossover in vortex dimensionality. The vortex-dominated properties of high transition temperature superconductors with extremely high anisotropy (layered systems) are reasonably well described in the framework of the layered XY model which can be mapped onto the layered sine-Gordon model. For the latter we derive an exact renormalization group (RG) equation using Wegner's and Houghton's approach in the local potential approximation. The agreement of the UV scaling laws found by us by linearizing the RG equations with those obtained previously in the literature in the dilute gas approximation makes apparent the improvement which can be achieved by solving our RG equations numerically.

Original languageEnglish
Pages (from-to)2033-2041
Number of pages9
JournalPhilosophical Magazine
Volume86
Issue number13-14
DOIs
Publication statusPublished - May 1 2006

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vortices
approximation
scaling laws
crossovers
transition temperature
anisotropy
single crystals
gases
magnetic fields
Equations
Renormalization
Approximation
Length
Anisotropy
Temperature
Gas
Scaling
Crystal

ASJC Scopus subject areas

  • Philosophy

Cite this

Differential renormalization-group approach to the layered sine-Gordon model. / Nándori, I.; Sailer, K.

In: Philosophical Magazine, Vol. 86, No. 13-14, 01.05.2006, p. 2033-2041.

Research output: Contribution to journalArticle

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