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Quantum phase transition in the Z3 Kitaev-Potts model

Mohseninia, R ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.91.245110
  3. Publisher: American Physical Society , 2015
  4. Abstract:
  5. The stability of the topological order phase induced by the Z3 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 Z3 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
  6. Keywords:
  8. Source: Physical Review B - Condensed Matter and Materials Physics ; Volume 91, Issue 24 , 2015 ; 10980121 (ISSN)
  9. URL: http://journals.aps.org/prb/abstract/10.1103/PhysRevB.91.245110