Magnetic field dependence of the superconducting gap node topology in non-centrosymmetric CePt${}_3$Si

Abstract

The non-centrosymmetric superconductor CePt${}_3$Si is believed to have a line node in the energy gap arising from coexistence of s-wave and p-wave pairing. We show that a weak c-axis magnetic field will remove this line node, since it has no topological stability against time-reversal symmetry breaking perturbations. Conversely a field in the $a-b$ plane is shown to remove the line node on some regions of the Fermi surface, while bifurcating the line node in other directions, resulting in two 'boomerang'-like shapes. These line node topological changes are predicted to be observable experimentally in the low temperature heat capacity.

4 pages, 3 figures

References in corpus (2)

• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• Order parameter in superconductors with non-degenerate bands

Cited by in corpus (7)

• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Topological surface states in nodal superconductors
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Impurity resonance states in noncentrosymmetric superconductor $CeP{t}_{3}Si$: a probe for Cooper-pairing symmetry
• Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric Superconductors