Surface instability in nodal noncentrosymmetric superconductors

Abstract

We study the stability of topologically protected zero-energy flat bands at the surface of nodal noncentrosymmetric superconductors, accounting for the alteration of the gap near the surface. Within a selfconsistent mean-field theory, we show that the flat bands survive in a broad temperature range below the bulk transition temperature. There is a second transition at a lower temperature, however, below which the system spontaneously breaks time-reversal symmetry. The surface bands are shifted away from zero energy and become weakly dispersive. Simultaneously, a spin polarization and an equilibrium charge current develop in the surface region.

5+4 pages, 5+1 figures

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Cited by in corpus (10)

• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Topological phase transitions in multi-component superconductors
• Majorana surface modes of nodal topological pairings in spin-$\frac{3}{2}$ semi-metals
• Effects of spin orbit coupling in superconducting proximity devices -- application to $\mathrm{CoS}{\mathrm{i}}_2/TiS{\mathrm{i}}_2$ heterostructures
• Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors
• Edge instabilities of topological superconductors
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Theory of surface spectroscopy for noncentrosymmetric superconductors
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Complete zero-energy flat bands of surface states in fully gapped chiral noncentrosymmetric superconductors