Chirality sensitive effect on surface states in chiral p-wave superconductors

Abstract

We study the local density of states at the surface of a chiral p-wave superconductor in the presence of a weak magnetic field. As a result, the formation of low-energy Andreev bound states is either suppressed or enhanced by an applied magnetic field, depending on its orientation with respect to the chirality of the p-wave superconductor. Similarly, an Abrikosov vortex, which is situated not too far from the surface, leads to a zero-energy peak of the density of states, if its chirality is the same as that of the superconductor, and to a gap structure for the opposite case. We explain the underlying principle of this effect and propose a chirality sensitive test on unconventional superconductors.

4 pages, 2 figures

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• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Quasiclassical numerical method for mesoscopic superconductors: bound states in a circular d-wave island with a single vortex
• Low-energy excitations and non-BCS superconductivity in Nb${}_x$-Bi${}_2$Se${}_3$
• Local tunneling probe of (110) Y_0.95Ca_0.05Ba_2Cu_3O_7-delta thin films in a magnetic field
• Tunneling conductance and local density of states in time-reversal symmetry breaking superconductors under the influence of an external magnetic field
• Quantum transport signatures of chiral edge states in Sr${}_2$RuO${}_4$
• Manifestation of helical edge states as zero-bias magneto-tunneling-conductance peaks in non-centrosymmetric superconductors
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Impurity effects in a vortex core in a chiral p-wave superconductor within the t-matrix approximation
• Chirality inversion of Majorana edge modes in a Fu-Kane heterostructure
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries