Topology of Andreev bound states with flat dispersion

Article

关键词: NON-ABELIAN STATISTICS;    QUASI-PARTICLE STATES;    P-WAVE;    TUNNELING SPECTROSCOPY;    LOCAL-DENSITY;    PENETRATION DEPTH;    PAIRING SYMMETRY;    EDGE STATES;    SURFACE;    CONDUCTANCE;   

DOI  :  10.1103/PhysRevB.83.224511

来源: SCIE

【 摘 要 】

Theory of dispersionless Andreev bound states on surfaces of time-reversal-invariant unconventional superconductors is presented. The generalized criterion for the dispersionless Andreev bound state is derived from the bulk-edge correspondence, and the chiral spin structure of the dispersionless Andreev bound states is argued from which the Andreev bound state is stabilized. We then summarize the criterion in a form of index theorems. The index theorems are proved in a general framework to certify the bulk-edge correspondence. As concrete examples, we discuss the (i) d(xy)-wave superconductor, (ii) p(x)-wave superconductor, and (iii) noncentrosymmetric superconductors. In the last example, we find a peculiar time-reversal-invariant Majorana fermion. The time-reversal-invariant Majorana fermion shows an unusual response to the Zeeman magnetic field, which can be used to identify it experimentally.

【 授权许可】

Free