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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