Low-temperature renormalization group study of uniformly frustrated models for type-II superconductors

Abstract

We study phase transitions in uniformly frustrated SU(N)-symmetric $(2+\epsilon )$-dimensional lattice models describing type-II superconductors near the upper critical magnetic field $H_{c2}(T)$. The low-temperature renormalization-group approach is employed for calculating the beta-function $\beta (T,f)$ with $f$ an arbitrary rational magnetic frustration. The phase-boundary line $H_{c2}(T)$ is the ultraviolet-stable fixed point found from the equation $\beta (T,f)=0$, the corresponding critical exponents being identical to those of the non-frustrated continuum system. The critical properties of the SU(N)-symmetric complex Ginzburg-Landau (GL) model are then examined in $(4+\epsilon )$ dimensions. The possibility of a continuous phase transition into the mixed state in such a model is suggested.

REVTeX, 12 pages, to appear in the Phys.Rev.B

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• Quantum Group and Magnetic Translations. Bethe-Ansatz Solution for Azbel-Hofstadter Problem
• Theory of a Continuous H${}_{c2}$ Normal-to-Superconducting Transition
• Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Continuous 3d Freezing Transition in Layered Superconductors