Upper critical field in a trigonal unconventional superconductor UPt_3

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 H_c2 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 H_c2 in the heavy fermion superconductor UPt_3 that has been recently found to possess trigonal crystalline structure. PACS numbers: 74.20.De, 74.70.Tx

8 pages, 5 figures

References in corpus (1)

• The Order Parameter for the Superconducting Phases of UPt${}_3$

Cited by in corpus (8)

• Identification of nematic superconductivity from the upper critical field
• $Z_3$-vestigial nematic order due to superconducting fluctuations in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ and Cu${}_x$Bi${}_2$Se${}_3$
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• High-pressure study of the basal-plane anisotropy of the upper critical field of the topological superconductor SrxBi2Se3
• Signatures of Nematic Superconductivity in Doped Bi${}_2$Se${}_3$ under Applied Stress
• Violation of Emergent Rotational Symmetry in the Hexagonal Kagome Superconductor CsV3Sb5
• Pairing state in multicomponent superconductors
• Manipulating the nematic director by magnetic fields in the spin-triplet superconducting state of CuxBi2Se3