2020/05/31 by Junyeong Ahn, Bohm‐Jung Yang, Bohm-Jung Yang
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Dirac fermion #Fermion #Graphene research and applications #MAJORANA #Majorana equation #Majorana fermion #Physics #Quantum mechanics #Spin (aerodynamics) #Superconductivity #Surface (topology) #Surface states #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.103.184502
published as Phys. Rev. B 103, 184502 (2021) · 6+15 pages, 4+3 figures
openalex publication_date 2021/05/03 · arxiv created 2021/05/05 · arxiv updated 2021/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundaries. In conventional three-dimensional topological superconductors, Majorana in-gap states appear in the form of spin-1/2 fermions with a quasirelativistic dispersion relation. Here, we show that unconventional Majorana states can emerge on the surface of three-dimensional topological superconductors protected by rotational symmetry. The unconventional Majorana surface states are classified into three different categories: a spin-s Majorana fermion with (2s+1)-fold degeneracy (s\ensuremath≥3/2), a Majorana Fermi line carrying two distinct topological charges, and a quartet of spin-1/2 Majorana fermions related by fourfold rotational symmetry. The spectral properties of the first two types, which go beyond conventional spin-1/2 fermions, are unique to topological superconductors and have no counterparts in topological insulators. We show that unconventional Majorana surface states can be obtained in the superconducting phase of doped Z2 topological insulators or Dirac semimetals with rotational symmetry.