期刊
PHYSICAL REVIEW B
卷 87, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.094413
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资金
- ESF
- EuroHorcs through EURYI
- ARO [W911NF-09-1-0527]
- NSF [DMR- 0955778]
The robustness of the topological color code, which is a class of error-correcting quantum codes, is investigated under the influence of a uniform magnetic field on the honeycomb lattice. Our study relies on two high-order series expansions using perturbative continuous unitary transformations in the limit of low and high fields, exact diagonalization, and a classical approximation. We show that the topological color code in a single parallel field is isospectral to the Baxter-Wu model in a transverse field on the triangular lattice. It is found that the topological phase is stable up to a critical field beyond which it breaks down to the polarized phase by a first-order phase transition. The results also suggest that the topological color code is more robust than the toric code in the parallel magnetic field. DOI: 10.1103/PhysRevB.87.094413
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