Majorana Fermions and Topology in Superconductors

By Masatoshi Sato, Satoshi Fujimoto. 2016

302 citations recorded by the source corpus.

Topological superconductors are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces of samples and in vortex cores of topological superconductors, Majorana fermions, which are particles identified with their own anti-particles, appear as Bogoliubov quasiparticles. The existence and stability of Majorana fermions are ensured by bulk topological invariants constrained by the symmetries of the systems. Majorana fermions in topological superconductors obey a new type of quantum statistics referred to as non-Abelian statistics, which is distinct from bose and fermi statistics, and can be utilized for application to topological quantum computation. Also, Majorana fermions give rise to various exotic phenomena such as “fractionalization”, non-local correlation, and “teleportation”. A pedagogical review of these subjects is presented. We also discuss interaction effects on topological classification of superconductors, and the b...

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

View Paper: https://www.semanticscholar.org/paper/f96a33770b7e3b428f172f9864bb7f105da6587e

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. Masatoshi Sato
2. Y. Ando
3. A. Bargerbos
4. A. Antipov
5. Bela Bauer
6. G. Winkler
7. E. Rossi
8. R. Lutchyn

In Condensed Matter Physics

1. Y. Ando
2. Masatoshi Sato
3. A. Bargerbos
4. A. Antipov
5. Bela Bauer
6. G. Winkler
7. E. Rossi
8. R. Lutchyn

In Materials Chemistry

1. Masatoshi Sato
2. Y. Ando
3. E. Rossi
4. R. Lutchyn

Citations in the corpus

• 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].”
• Effects of Gate-Induced Electric Fields on Semiconductor Majorana Nanowires (2018, background): “[7] Masatoshi Sato and Satoshi Fujimoto, “Majorana Fermions and Topology in Superconductors,” J Phys Soc Jpn.”