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Robustness of a perturbed topological phase (1012.1740v2)

Published 8 Dec 2010 in cond-mat.stat-mech, hep-lat, hep-th, and quant-ph

Abstract: We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion approaches. We find that when this perturbation is strong enough, the system undergoes a topological phase transition whose first- or second-order 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, unveiling a new topological universality class.

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