Low-energy effective theory of the toric code model in a parallel magnetic field

Vidal J, Dusuel S, Schmidt KP (2009)


Publication Status: Published

Publication Type: Journal article

Publication year: 2009

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 79

Journal Issue: 3

DOI: 10.1103/PhysRevB.79.033109

Abstract

We determine analytically the phase diagram of the toric code model in a parallel magnetic field which displays three distinct regions. Our study relies on two high-order perturbative expansions in the strong- and weak-field limits, as well as a large-spin analysis. Calculations in the topological phase establish a quasiparticle picture for the anyonic excitations. We obtain two second-order transition lines that merge with a first-order line, giving rise to a multicritical point as recently suggested by numerical simulations. We compute the values of the corresponding critical fields and exponents that drive the closure of the gap. We also give the one-particle dispersions of the anyonic quasiparticles inside the topological phase.

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APA:

Vidal, J., Dusuel, S., & Schmidt, K.P. (2009). Low-energy effective theory of the toric code model in a parallel magnetic field. Physical Review B, 79(3). https://doi.org/10.1103/PhysRevB.79.033109

MLA:

Vidal, Julien, Sebastien Dusuel, and Kai Phillip Schmidt. "Low-energy effective theory of the toric code model in a parallel magnetic field." Physical Review B 79.3 (2009).

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