A phenomenological theory of zero-energy Andreev resonant states

Abstract

A conceptual consideration is given to a zero-energy state (ZES) at the surface of unconventional superconductors. The reflection coefficients in normal-metal / superconductor (NS) junctions are calculated based on a phenomenological description of the reflection processes of a quasiparticle. The phenomenological theory reveals the importance of the sign change in the pair potential for the formation of the ZES. The ZES is observed as the zero-bias conductance peak (ZBCP) in the differential conductance of NS junctions. The split of the ZBCP due to broken time-reversal symmetry states is naturally understood in the present theory. We also discuss effects of external magnetic fields on the ZBCP.

12 pages

References in corpus (8)

• Circuit theory of unconventional superconductor junctions
• Josephson current in s-wave superconductor / Sr_2RuO_4 junctions
• Temperature-dependence of spin-polarized transport in ferromagnet / unconventional superconductor junctions
• Andreev reflections on Y1-xCaxBa2Cu3O7-delta evidence for an unusual proximity effect
• Point contact spectroscopy of the electron-doped cuprate superconductor Pr{2-x}Ce{x}CuO4: The dependence of conductance-voltage spectra on cerium doping, barrier strength and magnetic field
• Tunneling Spectra of Skutterudite PrOs_4Sb_{12}
• Josephson effect in d-wave superconductor junctions in a lattice model
• Influence of impurity-scattering on tunneling conductance in d-wave superconductors with broken time reversal symmetry

Cited by in corpus (46)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of Andreev Bound States with Flat Dispersion
• Odd-frequency pairing in normal metal/superconductor junctions
• Anomalous Josephson effect in p-wave dirty junctions
• Macroscopic Quantum Tunneling and Quasiparticle Dissipation in d-wave Superconductor Josephson Junctions
• Paramagnetic instability of small topological superconductors
• Spin-active interfaces and unconventional pairing in half-metal$\mid$superconductor junctions
• Josephson Spin Current in Triplet Superconductor Junctions
• Josephson interferometer in a ring topology as a symmetry prove of Sr_2RuO_4
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Spontaneous edge current in a small chiral superconductor with a rough surface
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Quantization of Conductance Minimum and Index Theorem
• Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
• Robustness of Spin-Triplet Pairing and Singlet-Triplet Pairing Crossover in Superconductor/Ferromagnet Hybrids
• Topologically nontrivial Andreev bound states
• Tunneling spectroscopy of topological superconductors
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Theory of tunneling spectroscopy for chiral topological superconductors
• Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Pairing symmetry of superconductivity coexisting with antiferromagnetism
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Degeneracy of Majorana bound states and fractional Josephson effect in a dirty SNS junction
• Stability of flat zero-energy states at the dirty surface of a nodal superconductor
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• Suppression of low-energy Andreev states by a supercurrent in YBa_2Cu_3O_7-delta
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Effects of the phase coherence on the local density of states in superconducting proximity structures
• Strong anomalous proximity effect from spin-singlet superconductors
• Anomalous inverse proximity effect in unconventional-superconductor junctions
• Anomalous Surface Impedance in a Normal-metal/Superconductor Junction with a Spin-active Interface
• A quantitative model for IcR product in d-wave Josephson junctions
• Josephson (001) tilt grain boundary junctions of high temperature superconductors
• Cooper Pair Shape in Normal-metal/Superconductor Junctions
• Field Induced Nodal Order Parameter in the Tunneling Spectrum of YBa${}_2$Cu${}_3$O${}_{7-x}$ Superconductor
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Josephson effect in quasi one-dimensional unconventional superconductors
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
• Temporarily enhanced superconductivity from magnetic fields
• Bulk-boundary correspondence in Josephson Junctions
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy
• Supercurrent reversal in Zeeman-split Josephson junctions
• Topological superconductivity in helical crystals
• The influence of the spin-dependent phases of tunneling electrons on the conductance of a point ferromagnet/isolator/d-wave superconductor contact