Topology of Andreev bound states with flat dispersion

By Masatoshi Sato, Yukio Tanaka, K. Yada, T. Yokoyama. 2011

222 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/cfbdc410c01b957a43b5abd28e8d42f1d5d606df

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Y. Ando
2. Masatoshi Sato
3. Alexander V. Balatsky
4. J. Linder
5. K. Kawabata
6. Ken Shiozaki
7. Masahito Ueda

In Condensed Matter Physics

1. Y. Ando
2. Masatoshi Sato
3. Alexander V. Balatsky
4. J. Linder
5. Masahito Ueda

Citations in the corpus

• Odd-frequency superconductivity (2017, background): “The relation between zero-energy Andreev bound states and topology was examined in (Sato et al., 2011).”
• Topological superconductors: a review (2016, background): “(117)], the topological number is introduced as the 1D winding number [60, 82],”