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

References in corpus (31)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Evidence for time-reversal symmetry breaking in the non-centrosymmetric superconductor LaNiC${}_2$
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• 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
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Majorana Fermions in Nodal Superconductors: Gapless Topological Phase
• 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
• Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si
• Quantum transport in noncentrosymmetric superconductors and thermodynamics of ferromagnetic superconductors
• Quantum impurity spin in Majorana edge fermions
• Andreev spectroscopy and surface density of states for a three-dimensional time-reversal invariant topological superconductor
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Tunnelling between non-centrosymmetric superconductors with significant spin-orbit splitting studied theoretically within a two-band treatment
• Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
• Observation of Andreev bound states in YBaCuO/Au/Nb ramp-type Josephson junctions
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Using Josephson junctions to determine the pairing state of superconductors without crystal inversion symmetry

Cited by in corpus (7)

• Topologically protected flat zero-energy surface bands in non-centrosymmetric 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
• Proximity effect with noncentrosymmetric superconductors
• Theory of tunneling spectroscopy for chiral topological superconductors
• Scattering theory of topological invariants in nodal superconductors
• Surface instability in nodal noncentrosymmetric superconductors