Anomalous Andreev bound state in non-centrosymmetric superconductors

Abstract

We study edge states of non-centrosymmetric superconductors where spin-singlet d-wave pairing mixes with spin-triplet p (or f)-wave one by spin-orbit coupling. For dxy-wave pairing, the obtained Andreev bound state has an anomalous dispersion as compared to conventional helical edge modes. A unique topologically protected time-reversal invariant Majorana fermion appears at the edge. The charge conductance in the non-centrosymmetric superconductor junctions reflects the anomalous structures of the dispersions, particularly the time-reversal invariant Majorana fermion is manifested as a zero bias conductance peak.

4 pages, 4 figures. References and details of the tunneling conductance are added

References in corpus (16)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological spin-current in non-centrosymmetric superconductors
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• Andreev bound states and tunneling characteristics of a non-centrosymmetric superconductor
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Observation of Andreev bound states in YBaCuO/Au/Nb ramp-type Josephson junctions
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Andreev bound states at a cuprate grain boundary junction: A lower bound for the upper critical field

Cited by in corpus (2)

• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Topologically protected flat zero-energy surface bands in non-centrosymmetric superconductors