Dresden 2017 – wissenschaftliches Programm
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MA: Fachverband Magnetismus
MA 13: Transport: Topological Phases (jointly with DS, MA, HL, O)
MA 13.5: Vortrag
Montag, 20. März 2017, 16:00–16:15, HSZ 304
Renormalization group approach to topological phase transitions — •Wei Chen1, Manfred Sigrist1, and Andreas Schnyder2 — 1ETH Zurich, Zurich, Switzerland — 2Max Planck Institute for Solid State Research, Stuttgart, Germany
Have you thought about this: every time you tie your shoelaces, you are using a scaling procedure (the tying) to make the topology (the knot) more obvious? Akin to knot-tying, a renormalization group approach is proposed to judge topological phase transitions for systems that belong to any dimension and symmetry class, and whether the topological phase transition is driven by noninteracting parameters (hopping, chemical potential, etc) as in the usual topological insulators, or interacting parameters (Hubbard interaction, etc) as in fractional Chern insulators. The meaning of scale invariance at the critical point and the fixed point is shown to be related to the notion of correlation length, which was previously thought to be nonexistent for topological insulators.
[1] W. Chen, J. Phys. Condens. Matter 28, 055601 (2016)
[2] W. Chen, M. Sigrist, and A. P. Schnyder, J. Phys. Condens. Matter 28, 365501 (2016)