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

2008

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

Vidal, J., Dusuel, S., Schmidt, K. P.

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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 limit, 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.

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