2017/09/30 by Ryo Okugawa, Takehito Yokoyama · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Geometry #Mathematics #Mirror symmetry #Parity (physics) #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Superconductivity #Symmetry (geometry) #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.97.060504
published as Phys. Rev. B 97, 060504 (2018) · 11 pages, 4 figures (including Supplemental Material)
openalex created_date 2017/09/15 · openalex publication_date 2018/02/15 · arxiv created 2018/02/16 · arxiv updated 2018/02/21 · openalex updated_date 2026/08/05
We study topological phase transitions in three-dimensional odd-parity or noncentrosymmetric superconductors with mirror symmetry when time-reversal symmetry is broken. We construct a generic phase diagram for Weyl superconductivity in the mirror-symmetric superconductors. It is shown that Weyl superconductivity generally emerges between the trivial and the topological crystalline superconductor phases. We demonstrate how a trajectory of the Weyl nodes determines the change in mirror Chern numbers in the topological phase transition. We also discuss a relationship between particle-hole symmetry and the trajectory of the Weyl nodes which realizes the topological crystalline superconductor phase.