Surface density of states and topological edge states in non-centrosymmetric superconductors

Abstract

We study Andreev bound state (ABS) and surface density of state (SDOS) of non-centrosymmetric superconductor where spin-singlet $d$-wave pairing mixes with spin-triplet $p$ (or $f)$-wave one by spin-orbit coupling. For $d_{xy}+p$-wave pairing, ABS appears as a zero energy state. The present ABS is a Majorana edge mode preserving the time reversal symmetry. We calculate topological invariant number and discuss the relevance to a single Majorana edge mode. In the presence of the Majorana edge mode, the SDOS depends strongly on the direction of the Zeeman field.

10 pages, 15 figures

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Cited by in corpus (41)

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• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors
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• Inflated nodes and surface states in superconducting half-Heusler compounds
• Theory of Majorana zero modes in unconventional superconductors
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Observation of Andreev bound state and multiple energy gaps in the non-centrosymmetric superconductor BiPd
• Topological indices, defects and Majorana fermion in chiral superconductors
• Topologically stable gapless phases in nonsymmorphic superconductors
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• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Proximity effect with noncentrosymmetric superconductors
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Bott periodicity for the topological classification of gapped states of matter with reflection symmetry
• Anisotropic magnetic responses of topological crystalline superconductors
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Zeeman field induced topological phase transitions in triplet superconductors
• Surface transport coefficients for three-dimensional topological superconductors
• Theory of tunneling spectroscopy for chiral topological superconductors
• Helical spin texture of surface states in topological superconductors
• Majorana vortex-bound states in three-dimensional nodal noncentrosymmetric superconductors
• Anomalous Josephson Coupling and High-Harmonics in Non-Centrosymmetric Superconductors with $S$-wave Spin-Triplet Pairing
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
• Scattering theory of topological invariants in nodal superconductors
• Surface instability in nodal noncentrosymmetric superconductors
• Searching for two-dimensional Weyl superconductors in heterostructures
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Higher-order topological and nodal superconducting transition-metal sulfides MS (M = Nb and Ta)
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Nuclear spin relaxation rate of nonunitary Dirac and Weyl superconductors
• Manipulation of Majorana wave packets at surfaces of nodal noncentrosymmetric superconductors
• Particle-hole spectral asymmetry at the edge of multiorbital noncentrosymmetric superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Majorana flat bands at structured surfaces of nodal noncentrosymmetric superconductors