Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors

Abstract

We study the surface Andreev bound states (SABSs) and quasiparticle tunneling spectroscopy of three-dimensional (3D) chiral superconductor by changing the surface (interface) misorientation angle of chiral superconductors. We obtain analytical formula of the energy dispersion of SABS for general pair potential when an original 4$\times$4 BdG Hamiltonian can be reduced to be two 2$\times$2 blocks. The resulting SABS for 3D chiral superconductors with pair potential given by $k_z(k_x+i{k}_y{)}^{\nu }$ $(\nu =1,2)$ has a complicated energy dispersion due to the coexistence of both point and line nodes. We focus on the tunneling spectroscopy of this pairing in the presence of applied magnetic field which induces Doppler shift of quasiparticle spectra. By contrast to previous known Doppler effect in unconventional superconductors, zero bias conductance dip can change into zero bias conductance peak by external magnetic field. We also study SABSs and tunneling spectroscopy for possible pairing symmetries of UPt${}_3$ . For this purpose, we extend a standard formula of tunneling conductance of unconventional superconductor junctions in order to treat spin-triplet non-unitary pairings. The magneto tunneling spectroscopy, i.e., tunneling spectroscopy in the presence of magnetic field, can serve as a guide to determine the pairing symmetry of this material.

18 pages, 19 figures

References in corpus (14)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Theory of the proximity effect in junctions with unconventional superconductors
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Topological spin-current in non-centrosymmetric superconductors
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Odd-frequency pairing in normal metal/superconductor junctions
• Topological surface states in nodal superconductors
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Anomalous Josephson effect in p-wave dirty junctions
• Crossed surface flat bands of Weyl semimetal superconductors
• Surface spectral function in the superconducting state of a topological insulator
• Broken symmetries in URu2Si2
• Surface state tunneling signatures in two-component superconductor UPt${}_3$

Cited by in corpus (21)

• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Emergent vortex Majorana zero mode in iron-based superconductors
• Majorana multipole response: General theory and application to wallpaper groups
• Odd-Parity Quasiparticle Interference in the Superconductive Surface State of UTe2
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Magnetic Response of Majorana Kramers Pairs Protected by Z2 Invariants
• Nonreciprocal superconductivity
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Thermoelectric detection of Andreev states in unconventional superconductors
• Boundary-Induced Topological and Mid-Gap States in Charge Conserving One-Dimensional Superconductors
• Identifying Bogoliubov Fermi surfaces via thermoelectric response in a $d$-wave superconductor heterostructure
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Majorana multipole response with magnetic point group symmetry
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Visualizing the Odd-parity Superconducting Order Parameter and its Quasiparticle Surface Band in UTe2
• Fingerprints of possible even-parity superconducting states in Sr${}_2$RuO${}_4$ detected by planar tunneling spectroscopy
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems