2010/12/29 by D. Schmeltzer, Schmeltzer, D. · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Classical mechanics #Computer science #Condensed matter physics #Curved space #Electrical engineering #Engineering #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics #Space (punctuation) #Superconductivity #Theoretical physics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.1012.5876
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2010/12/29 · arxiv created 2015/07/31 · arxiv updated 2015/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The method of the space dependent basis is applied to study electronic spinors in a crystal. The crystal in the momentum space is described by the Brillouine zone which might contains obstructions or degeneracies for which requires different gauges for different regions. The electronic bands are classified according to their topology. The connection and curvature determines the physical properties which are clasified according to the topological invariants. We apply this method to the Topological Insulators, Topological Superconductors, Persistent Currents in coupled rings and photoemission for a curved crystal-face boundary