Ginzburg-Landau theory for unconventional surface superconductivity in PtBi${}_2$

Abstract

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters, which correspond to the three irreducible representations of the point group $C_{3v}$. The irreducible representations $A_1$ and $A_2$ are the most likely. We develop a systematic method to determine the symmetry-allowed terms and apply it to derive all terms up to fourth order in the three order parameters. The Ginzburg--Landau functional also includes coupling to the magnetic field. The functional is employed to determine the effect of an applied uniform magnetic field on the nodal structure for $A_1$ and $A_2$ pairing. The results facilitate clear-cut experimental differentiation between these symmetries. We also predict field-induced helical superconductivity.

12 pages, 1 figure; minor update

References in corpus (15)

• Superconducting Arcs
• Polymorphic PtBi2: Growth, structure and superconducting properties
• Nonuniform states in noncentrosymmetric superconductors
• Berezinskii-Kosterlitz-Thouless transition in the type-I Weyl semimetal PtBi${}_2$
• Surface superconductivity in the topological Weyl semimetal t-PtBi${}_2$
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Electron-phonon interaction and point contact enhanced superconductivity in trigonal PtBi2
• Electronic structure of the surface superconducting Weyl semimetal PtBi${}_2$
• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
• Fermi arcs dominating the electronic surface properties of trigonal PtBi${}_2$
• magnetoARPES: Angle Resolved Photoemission Spectroscopy with Magnetic Field Control
• Enhanced weak superconductivity in trigonal $\gamma$-PtBi${}_2$
• Self-consistent surface superconductivity in time-reversal symmetric Weyl semimetals
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Dissipationless transport signature of topological nodal lines

Cited by in corpus (4)

• Higher-order topological superconductivity in type-II time-reversal-symmetric Weyl semimetals with a hybrid pairing
• Mechanism for Nodal Topological Superconductivity on PtBi${}_2$ Surface
• Beyond spin-1/2: Multipolar spin-orbit coupling in noncentrosymmetric crystals with time-reversal symmetry
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$