Berlin 2018 – wissenschaftliches Programm
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MA: Fachverband Magnetismus
MA 44: Topological Insulators II (joint session TT/MA)
MA 44.8: Vortrag
Donnerstag, 15. März 2018, 11:30–11:45, A 053
Direct phase transitions between Zn×Zn bosonic topological phases in 1+1D — •Julian Bibo1, Ruben Verresen1,2, and Frank Pollmann1 — 1Technische Universiät München — 2Max-Planck-Institut für komplexe Systeme, Dreseden
Symmetry protected topological (SPT) phases are phases of matter without local order parameters. Instead, they are classified by how a global symmetry G acts projectively on the edges. For G=Zn×Zn, there are n−1 non-trivial SPT phases. For n≤4, it has been proven that within a certain class of models there are direct transitions between adjacent phases. For n ≥ 5, however, the expectation was that there are intermediate gapless phases instead of direct transitions. Contrary to this expectation, we argue analytically that there are direct transitions in case n is divisible by 2, 3 or 4. We numerically confirm that these transitions are not fine-tuned.