Catastrophe theory classification of Fermi surface topological transitions in two dimensions
Anirudh Chandrasekaran, Alex Shtyk, Joseph J. Betouras, Claudio Chamon
Abstract
This paper classifies point singularities that occur in two dimensional bands using catastrophe theory. Further, the connection between lattice symmetries and singularities is brought out, leading to the classification of singularities that can occur at high symmetry points in the Brillouin zone
Topics & Concepts
Gravitational singularityCatastrophe theoryHomogeneous spaceBrillouin zoneLattice (music)PhysicsSymmetry (geometry)Connection (principal bundle)Theoretical physicsSurface (topology)Point (geometry)Fermi Gamma-ray Space TelescopeTopology (electrical circuits)MathematicsSingularity theoryFermi surfacePoint groupQuantum mechanicsOrganic and Molecular Conductors ResearchTopological Materials and PhenomenaQuantum and electron transport phenomena