Quantum phase transition in the Z(3) Kitaev-Potts model

Article

关键词: ERROR-CORRECTING CODES;    FLOW-EQUATIONS;    ABELIAN ANYONS;    COMPUTATION;    COMPUTER;    MEMORY;    CHAIN;    ORDER;   

DOI  :  10.1103/PhysRevB.91.245110

来源: SCIE

【 摘 要 】

The stability of the topological order phase induced by the Z(3) Kitaev model, which is a candidate for fault-tolerant quantum computation, against the local order phase induced by the three-state Potts model is studied. We show that the low-energy sector of the Kitaev-Potts model is mapped to the Potts model in the presence of transverse magnetic field. Our study relies on two high-order series expansions based on continuous unitary transformations in the limits of small and large Potts couplings as well as mean-field approximation. Our analysis reveals that the topological phase of the Z(3) Kitaev model breaks down to the Potts model through a first-order phase transition. We capture the phase transition by analysis of the ground-state energy, one-quasiparticle gap, and geometric measure of entanglement.

【 授权许可】

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