Symmetry and Topology in Superconductors –Odd-Frequency Pairing and Edge States–

By Yukio Tanaka, Masatoshi Sato, N. Nagaosa. 2011

377 citations recorded by the source corpus.

Superconductivity is a phenomenon where the macroscopic quantum coherence appears due to the pairing of electrons. This offers a fascinating arena to study the physics of symmetry breaking, i.e., broken gauge symmetry. However, the important symmetries in superconductors are not only the gauge invariance. Especially, the symmetry properties of the pairing, i.e., the parity and spin-singlet/spin-triplet, determine the physical properties of the superconducting state. Recently it has been recognized that there is the important third symmetry of the pair amplitude, i.e., even or odd parity with respect to the frequency. The conventional uniform superconducting states correspond to the even-frequency pairing, but the recent finding is that the odd-frequency pair amplitude arises in the spatially non-uniform situation quite ubiquitously. Especially, this is the case in the Andreev bound state (ABS) appearing at the surface/interface of the sample. The other important recent development is on the nontrivial top...

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

View Paper: https://www.semanticscholar.org/paper/592d47cecfed4595ba12a663a432d122b859a85a

How researchers see this paper

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

In Materials Chemistry

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

Citations in the corpus

• Odd-frequency superconductivity (2017, background): “various aspects of odd-w pairing, such as its existence in S/F structures (Bergeret et al., 2005), more general superconducting proximity systems (Golubov et al., 2009), and its relation to topology (Tanaka et al., 2012). In this review, we aim to provide a comprehensive treatment of all known aspec”
• Topological superconductors: a review (2016, background): “There have been already many proposals for similar topological superconductors realized in an s-wave pairings state [15, 16, 26, 57, 166].”