Theory Seminar: The Curvature Renormalization Group (CRG) approach to topological phase transitions

Albert Gasull (MPQ)
The paradigm of Landau to study phase transitions by means of symmetry breaking provides a fantastic method with which to extract information like the critical exponents and universality class of any classical transition.

March 17, 2021

Albert Gasull (MPQ)
Group Seminar via Zoom
Wed 17. March 2021, 11:30 am (MEZ)

Abstract:

The paradigm of Landau to study phase transitions by means of symmetry breaking provides a fantastic method with which to extract information like the critical exponents and universality class of any classical transition. Topological phase transitions widely differ from their classical counterpart, and since no symmetry is broken as the transition is crossed, Landau theory can not be applied. The curvature renormalization group approach to topological phase transition is our proposed method to extract critical exponents and phase diagrams for topological models at a relatively low computational cost. The applicability of the method also extends to the stroboscopic physics of the systems under study as they are Floquet driven.  I will present the most recent results about the 2D Kitaev Honeycomb model and a driven procedure that generates chiral majorana modes around the edges of a finite system. I will also discuss potential generalizations of this method that I would like to explore in the future.

Based on : https://arxiv.org/abs/2102.00009

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