Dresden 2017 – scientific programme
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MA: Fachverband Magnetismus
MA 13: Transport: Topological Phases (jointly with DS, MA, HL, O)
MA 13.7: Talk
Monday, March 20, 2017, 16:45–17:00, HSZ 304
Finite-size scaling around a topological phase transition — •Tobias Gulden1,2, Yuting Wang2, and Alex Kamenev2 — 1Technion - Israel Institute of Technology — 2University of Minnesota
The critical point of a phase transition is described by a conformal field theory, where perturbations away from criticality are known to give rise to universal scaling functions. We consider perturbations around a critical point which separates two distinct topological phases. For both energy and entropy we find the existence of scaling functions which depend on the sign of the perturbation, i.e. they discriminate between topological phases. Renyi entropy of the Kitaev model contains two distinct scaling functions which separate a well-known universal part and the topological contribution, while energy has one asymmetric scaling function. The latter is universal for all five Altland-Zirnbauer symmetry classes with non-trivial topology in one spatial dimension.