Differential Renormalization-Group Approach to the Layered sine-Gordon Model

Abstract

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO 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 find by us by linearizing the RG equations with those obtained previously in the literature in the dilute gas approximation makes the improvement appearant which can be achieved by solving our RG equations numerically.

12 pages, no figures, to be published in Philos. Mag

Cited by in corpus (10)

• Lectures on renormalization and asymptotic safety
• Comparison of renormalization group schemes for sine-Gordon type models
• On the renormalization of the bosonized multi-flavor Schwinger model
• Massless fermions in multi-flavor QED_2
• Symmetries and Phase Structure of the Layered Sine-Gordon Model
• On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
• Degeneracy induced scaling of the correlation length for periodic models
• Phase Structure and Compactness
• Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
• Renormalization of QCD_2