Berlin 2015 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 101: Low-Dimensional Systems: Topological Order 2 (jointly with DS, HL, MA, O)
TT 101.3: Vortrag
Donnerstag, 19. März 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 SOq(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.