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GLAM Special Seminar

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

Wei Chen
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.