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Quenched-impurity and magnetic-field effects on the phase transition in unconventional superconductors

G. Busiello, L. De Cesare, Yonko T. Millev, I. Rabuffo, Dimo I. Uzunov

DOI 10.1103/PhysRevB.43.1150 · Physical Review B

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Abstract

The combined influence of crystal anisotropy, magnetic fluctuations, and quenched randomness upon the critical behavior of unconventional superconductors is studied by means of the renormalization-group analysis within the ε expansion. The fixed points of the renormalization-group equations are presented and their properties investigated to first order in ε=4-d. Because of the crystal-field anisotropy, no stable fixed points exist and the main conclusion is that only fluctuation-driven first-order transitions should occur in unconventional superconductors in the vicinity of the critical point.

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