Classification of two-dimensional topological crystalline superconductors and Majorana bound states at disclinations
Wladimir A. Benalcazar, Jeffrey C. Y. Teo, Taylor L. Hughes
DOI 10.1103/PhysRevB.89.224503 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We classify discrete-rotation symmetric topological crystalline superconductors (TCS) in two dimensions and provide the criteria for a zero-energy Majorana bound state (MBS) to be present at composite defects made from magnetic flux, dislocations, and disclinations. In addition to the Chern number that encodes chirality, discrete rotation symmetry further divides TCS into distinct stable topological classes according to the rotation eigenspectrum of Bogoliubov-de Gennes quasiparticles. Conical crystalline defects are shown to be able to accommodate robust MBS when a certain combination of these bulk topological invariants is nontrivial as dictated by the index theorems proved within. The number parity of MBS is counted by a Z2-valued index that solely depends on the disclination and the topological class of the TCS. We also discuss the implications for corner-bound Majorana modes on the boundary of topological crystalline superconductors.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
Similar papers
Unpaired Majorana fermions in a layered topological superconductor
similarity 0.98Babak Seradjeh & Eytan Grosfeld
Source status unknown — claims are unverified
Topological indices, defects, and Majorana fermions in chiral superconductors
similarity 0.97Daichi Asahi & Naoto Nagaosa
Source status unknown — claims are unverified
Topological Crystalline Superconductivity in Locally Noncentrosymmetric Multilayer Superconductors
similarity 0.97Tomohiro Yoshida et al.
Source status unknown — claims are unverified
Spin and Majorana Polarization in Topological Superconducting Wires
similarity 0.97Doru Sticlet et al.
Source status unknown — claims are unverified
Majorana Bound States and Nonlocal Spin Correlations in a Quantum Wire on an Unconventional Superconductor
similarity 0.97Sho Nakosai et al.
Source status unknown — claims are unverified
Topological phase transitions in small mesoscopic chiral p-wave superconductors
similarity 0.97L.-F. Zhang et al.
Source status unknown — claims are unverified