Quantum phase transition in the Z3 Kitaev-Potts model

被引:9
|
作者
Mohseninia, Razieh [1 ]
Jahromi, Saeed S. [2 ]
Memarzadeh, Laleh [1 ]
Karimipour, Vahid [1 ]
机构
[1] Sharif Univ Technol, Dept Phys, Tehran, Iran
[2] KN Toosi Univ Technol, Dept Phys, Tehran, Iran
关键词
ERROR-CORRECTING CODES; FLOW-EQUATIONS; ABELIAN ANYONS; COMPUTATION; COMPUTER; MEMORY; CHAIN; ORDER;
D O I
10.1103/PhysRevB.91.245110
中图分类号
T [工业技术];
学科分类号
08 ;
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.
引用
收藏
页数:10
相关论文
共 50 条
  • [31] Scaling of geometric phases close to the topological quantum phase transition in Kitaev's quantum wire model
    Shan, Chuan-Jia
    Li, Jin-Xin
    Cheng, Wei-Wen
    Liu, Ji-Bing
    Liu, Tang-Kun
    LASER PHYSICS LETTERS, 2014, 11 (03)
  • [33] Chiral Waveguide Optomechanics: First Order Quantum Phase Transitions with Z3 Symmetry Breaking
    Sedov, D. D.
    Kozin, V. K.
    Iorsh, I., V
    PHYSICAL REVIEW LETTERS, 2020, 125 (26)
  • [34] Phase transition of Potts model on a frustrated 3D lattice
    Puha, I
    Diep, HT
    JOURNAL OF APPLIED PHYSICS, 2000, 87 (09) : 5905 - 5907
  • [35] PHASE-TRANSITION IN CONTINUOUS POTTS MODEL
    AMIT, DJ
    SHCHERBAKOV, A
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (05): : L96 - L98
  • [36] Phase Transition in Potts Model with Invisible States
    Tamura, Ryo
    Tanaka, Shu
    Kawashima, Naoki
    PROGRESS OF THEORETICAL PHYSICS, 2010, 124 (02): : 381 - 388
  • [37] Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
    Hu, Huanzhi
    Krüger, Frank
    Physical Review Letters, 133 (14):
  • [38] Anomalous quantum information scrambling for Z3 parafermion chains
    Zhang, Shun-Yao
    Deng, Dong-Ling
    PHYSICAL REVIEW B, 2021, 103 (19)
  • [39] Energy transport in Z3 chiral clock model
    Nishad, Naveen
    Sreejith, G. J.
    NEW JOURNAL OF PHYSICS, 2022, 24 (01):
  • [40] Interplay between sign problem and Z3 symmetry in three-dimensional Potts models
    Hirakida, Takehiro
    Kouno, Hiroaki
    Takahashi, Junichi
    Yahiro, Masanobu
    PHYSICAL REVIEW D, 2016, 94 (01)