Dresden 2011 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 62: CE: Low-dimensional Systems - Models 2
TT 62.2: Vortrag
Freitag, 18. März 2011, 10:45–11:00, HSZ 105
Robustness of the toric code in an arbitrary magnetic field — Sébastien Dusuel1, •Michael Kamfor2, Román Orús3, Kai Phillip Schmidt2, and Julien Vidal1 — 1Lycée Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris, France — 2Lehrstuhl für Theoretische Physik I, Otto-Hahn-Str. 4, TU Dortmund, 44221 Dortmund, Germany — 3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany
We investigate the stability of the topological phase in the toric code model in the presence of an arbitrary uniform magnetic field by means of variational approach (iPEPS) and high order series expansion (PCUT). It is found that when this perturbation is strong enough, the anyonic gap closes and the system undergoes a phase transition whose nature depends on the field orientation. When this transition is of second order, it is in the Ising universality class except for a special line on which the critical exponent, driving the closure of the gap, varies continuously