BCS theory for s+g-wave superconductivity borocarbides Y(Lu)Ni${}_2$B${}_2$C

Abstract

The s+g mixed gap function Δ_k=Δ{[(1-x)-x\sin^4θ\cos4ϕ]} (x: weight of g-wave component) has been studied within BCS theory. By suitable consideration of the pairing interaction, we have confirmed that the coexistence of s- and g-wave, as well as the state with equal s and g amplitudes (i.e., x=1/2) may be stable. This provides the semi-phenomenological theory for the s+g-wave superconductivity with point nodes which has been observed experimentally in borocarbides YNi_2B_2C and possibly in LuNi_2B_2C.

5 pages, 3 figures

References in corpus (9)

• Gap Function with Point Nodes in Borocarbide Superconductor YNi_2B_2C
• Ansiotropic s- wave superconductivity in borocarbides LuNi2B2C and YNi2B2C
• Highly Anisotropic Gap Function in Borocarbide Superconductor LuNi_2B_2C
• Direct Observation of Nodal Quasiparticles in an Unconventional Superconductor: Field-angle Dependent Heat Capacity of YNi2B2C
• Low Energy Quasiparticle Excitation in the Vortex State of Borocarbide Superconductor YNi_2B_2C
• Phonon-mediated anisotropic superconductivity in the Y and Lu nickel borocarbides
• Theoretical study of electronic Raman scattering of Borocarbide superconductors
• Mixing of superconducting $d_{x^2-y^2}$ state with s-wave states for different filling and temperature
• Mixing of $d_{x^2-y^2}$ and $d_{xy}$ superconducting states for different filling and temperature

Cited by in corpus (7)

• Evidence of gap anisotropy in superconducting YNi2B2C using directional point contact spectroscopy
• Comparative analysis of specific heat of YNi2B2C using nodal and two-gap models
• Pressure dependence of the upper critical field of MgB2 and of YNi2B2C
• Magnetic field dependence of superconducting energy gaps in YNi2B2C: Evidence of multiband superconductivity
• Superconducting order parameter in nonmagnetic borocarbides RNi${}_2$B${}_2$C (R=Y, Lu) probed by point-contact Andreev reflection spectroscopy
• Evolution of ground state and upper critical field in R(1-x)GdxNi2B2C (R = Lu, Y): Coexistence of superconductivity and spin-glass state
• Boron isotope effect in single crystals of ErNi${}_2$B${}_2$C superconductor