GLAM Special Seminar
Geballe Laboratory for Advanced Materials
Wednesday, 24 July 2019 at 3:00 p.m.
Location: McCullough Building, room #335
Host: Tomas Bzdusek
Pontifical Catholic University of Rio de Janeiro
Universality classes of topological phase transitions
In topological insulators and topological superconductors, the change of topological invariant caused by tuning a certain parameter signifies a topological phase transition. Based on the fact that the topological invariant is generally an integration of local curvature in momentum space, we propose a paradigm to characterize the topological phase transitions according to the divergence of the local curvature. The paradigm introduces the notion of correlation function, critical exponents, scaling laws, and renormalization group, applicable to either noninteracting, interacting, or Floquet systems. The notion of universality class and its relation with the symmetry classification will be elaborated.