Majorana Fermions and Topology in Superconductors

2016/01/31 by Masatoshi Sato, Satoshi Fujimoto · 5 citations
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Cooper pair #Fermion #Homogeneous space #MAJORANA #Majorana fermion #Pairing #Quantum #Rare-earth and actinide compounds #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.supr-con

paper · pdf · doi:10.7566/jpsj.85.072001

published as J. Phys. Soc. Jpn. 85, 072001 (2016) · 81 pages, 12 figures, an invited review paper of J. Phys. Soc. Jpn

arxiv created 2016/06/02 · openalex publication_date 2016/06/02 · arxiv updated 2016/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

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 basic properties of Weyl superconductors.

Citations

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Cited by

• Topological Origin of Andreev Flatland in UTe₂: Implication for Josephson STM Measurements
• Bulk-edge correspondence of classical diffusion phenomena
• Fragility of the Fractional Josephson Effect in Time-Reversal-Invariant Topological Superconductors
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed s- and d-wave symmetries
• A perspective on semiconductor-based superconducting qubits