Low-temperature renormalization-group study of uniformly frustrated models for type-II superconductors
Giancarlo Jug, Boris N. Shalaev
DOI 10.1103/PhysRevB.58.12404 · Physical Review B
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Abstract
We study phase transitions in uniformly frustrated SU(N)-symmetric (2+ε)-dimensional lattice models describing type-II superconductors near the upper critical magnetic field Hc2(T). The low-temperature renormalizatoion-group approach is employed for calculating the beta function β(T,f) with f an arbitrary rational magnetic frustration. The phase-boundary line Hc2(T) is the ultraviolet-stable fixed point found from the equation β(T,f)=0, the corresponding critical exponents being identical to those of the nonfrustrated continuum system. The critical properties of the SU(N)-symmetric complex Ginzburg-Landau model are then examined in (4+ε) dimensions. The possibility of a continuous phase transition into the mixed state in such a model is suggested.
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