Robustness of a Perturbed Topological Phase

Sébastien Dusuel, Michael Kamfor, Román Orús, Kai Phillip Schmidt, and Julien Vidal
Phys. Rev. Lett. 106, 107203 – Published 8 March 2011
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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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  • Received 8 December 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.107203

© 2011 American Physical Society

Authors & Affiliations

Sébastien Dusuel1, Michael Kamfor2,3, Román Orús4,5, Kai Phillip Schmidt2, and Julien Vidal3

  • 1Lycée Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris, France
  • 2Lehrstuhl für Theoretische Physik I, Otto-Hahn-Straße 4, TU Dortmund, 44221 Dortmund, Germany
  • 3Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
  • 4School of Mathematics and Physics, The University of Queensland, QLD 4072, Australia
  • 5Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany

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Issue

Vol. 106, Iss. 10 — 11 March 2011

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