2013/05/31 by Y. X. Zhao, Z. D. Wang
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Boundary (topology) #Charge (physics) #Geometry #Graphene research and applications #MAJORANA #Mathematics #Physics #Quantum #Quantum computer #Quantum mechanics #Superconductivity #Symmetry (geometry) #Symmetry protected topological order #Theoretical physics #Topological Materials and Phenomena #Topological degeneracy #Topological entropy in physics #Topological insulator #Topological order #Topological quantum computer #Topological quantum number #Topology (electrical circuits) #Zero (linguistics) #Zero-point energy #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.90.115158
published as Phys. Rev. B 90, 115158 (2014) · The text is refined, with new analyses and results on the three 1D models being added; 7 pages
arxiv created 2014/01/19 · openalex publication_date 2014/09/30 · arxiv updated 2014/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
From our general index theorem, which characterizes faithfully the topological intrinsic boundary-bulk correspondence of topological superconductors and insulators, we reveal rigorously that four topologically distinct types of Majorana zero modes can emerge at the ends of superconducting wires of various symmetry classes. More intriguingly, we establish three exotic one-dimensional models that have different types of topological charge of Majorana zero modes and disclose exactly the corresponding topological properties, whose distinct topological essences may be tested experimentally. Moreover, we also address their application in universal quantum manipulation, which is promising for realizing universal topological quantum computation.