Topology of Andreev Bound States with Flat Dispersion

Details Topology of Andreev Bound States with Flat Dispersion Topology of Andreev Bound States with Flat Dispersion

2011-02-07

arxiv.org/abs/1102.1322v2

Phys. Rev. B 83, 224511 (2011)

Physics

Condensed Matter

Superconductivity

56 pages, 11 figures, references are added

Scientific paper

10.1103/PhysRevB.83.224511

A 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. Then we 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 (i) dxy-wave superconductor (ii) px-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.

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