Fragile surface zero-energy flat bands in three-dimensional chiral superconductors

Abstract

We study surface zero-energy flat bands in three-dimensional chiral superconductors with $p_z(p_x+i{p}_y{)}^{\nu }$-wave pairing symmetry ($\nu$ is a nonzero integer), based on topological numbers and tunneling conductance. It is shown that the surface flat bands are fragile against (i) the misorientation angle and (ii) surface Rashba spin-orbit interaction. The fragility of (i) is specific to chiral SCs, whereas that of (ii) happens for general odd-parity SCs. We demonstrate that these flat band instabilities vanish or suppress a zero-bias conductance peak in a normal/insulator/superconductor junction, which behavior is clearly different from high-$T_c$ cuprates and noncentrosymmetric superconductors. By calculating the angle resolved conductance, we also discuss a topological surface state associated with the coexistence of line and point nodes.

10 pages, 5 figures

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• Inflated nodes and surface states in superconducting half-Heusler compounds
• Topologically stable gapless phases in nonsymmorphic superconductors
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Chiral singlet superconductivity in the weakly correlated metal LaPt3P
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Anisotropic magnetic responses of topological crystalline superconductors
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Emergent vortex Majorana zero mode in iron-based superconductors
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
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• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Cuprate Twistronics for Quantum Hardware
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Nuclear spin relaxation rate of nonunitary Dirac and Weyl superconductors
• Coherence Effects of Caroli-de Gennes-Matricon Modes in Nodal Topological Superconductors
• Topological superconductivity in helical crystals
• 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