Upper critical field in a trigonal unconventional superconductor UPt3

Abstract

A theory of the upper critical field in a trigonal superconductor with a two-component order-parameter is developed. We demonstrate the existence of sixfold modulations of the upper critical field in the basal plane. The form of the angular dependence of Hc2 in the plane of the main symmetry axis is studied in the whole range of phenomenological rigidity coefficients. A qualitative dependence of these coefficients on the form of the Fermi surface is established. The results obtained are discussed in connection with the measurements of the direction dependence of Hc2 in the heavy fermion superconductor UPt3 that has been recently found to possess trigonal crystalline structure. PACS numbers: 74.20.De, 74.70.Tx

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