Berlin 2015 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 87: Low-dimensional systems: Topological order 2 (TT with DS/HL/MA/O)

HL 87.3: Talk

Thursday, March 19, 2015, 15:30–15:45, H 3010

Protection of topological phases by quantum deformed symmetries — •Thomas Quella — Universität zu Köln, Institut für Theoretische Physik, Köln, Germany

We show that topological phases of quantum spin systems may enjoy protection even in the absence of ordinary group symmetries. The relevant mechanism is explained in full detail for the example of 1D spin chains with quantum group (q-deformed) symmetry SO_q(3). We also sketch the generalization to quantum deformations of other continuous Lie groups such as those associated with SU(N) or SO(N). Our results provide a complete classification of quantum group symmetry protected topological phases for real values of q.