Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain

被引:4
|
作者
Ibrahim, Ahmed K. [1 ]
Vojta, Thomas [1 ]
机构
[1] Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 USA
基金
美国国家科学基金会;
关键词
ISING SPIN-GLASS; 1ST-ORDER PHASE-TRANSITIONS; LARGE-N LIMIT; CRITICAL-BEHAVIOR; FIELD; SYSTEMS; MODEL; SURFACE; POINTS;
D O I
10.1103/PhysRevB.95.054403
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate the zero-temperature quantum phase transitions of the disordered three-color quantum Ashkin-Teller spin chain by means of large-scale Monte Carlo simulations. We find that the first-order phase transitions of the clean system are rounded by the quenched disorder. For weak intercolor coupling, the resulting emergent quantum critical point between the paramagnetic phase and the magnetically ordered Baxter phase is of infinite-randomness type and belongs to the universality class of the random transverse-field Ising model, as predicted by recent strong-disorder renormalization group calculations. We also find evidence for unconventional critical behavior in the case of strong intercolor coupling, even though an unequivocal determination of the universality class is beyond our numerical capabilities. We compare our results to earlier simulations, and we discuss implications for the classification of phase transitions in the presence of disorder.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] QUANTUM N-COLOR ASHKIN-TELLER MODEL - EXACT SOLUTION IN THE LARGE-N LIMIT
    CECCATTO, HA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (12): : 2829 - 2834
  • [42] Improved matrix product operator renormalization group: application to the N-color random Ashkin-Teller chain
    Chatelain, Christophe
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019,
  • [43] Monte Carlo examination of first-order phase transitions in a system with many independent order parameters: Three-dimensional Ashkin-Teller model
    Musial, Grzegorz
    Jeziorek-Kniola, Dorota
    Wojtkowiak, Zbigniew
    PHYSICAL REVIEW E, 2021, 103 (06)
  • [44] Numerical study of the three-state Ashkin-Teller model with competing dynamics
    Ndizeye, Prosper
    Hontinfinde, Felix
    Kounouhewa, Basile
    Bekhechi, Smaine
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2014, 12 (05): : 375 - 382
  • [45] CONFORMAL ANOMALY AND SURFACE-ENERGY FOR POTTS AND ASHKIN-TELLER QUANTUM CHAINS
    HAMER, CJ
    QUISPEL, GRW
    BATCHELOR, MT
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (16): : 5677 - 5693
  • [46] Quantum Monte Carlo simulations of disordered magnetic and superconducting materials
    Scalettar, RT
    Denteneer, PJH
    Huscroft, C
    McMahan, A
    Pollock, R
    Randeria, M
    Trivedi, N
    Ulmke, M
    Zimanyi, GT
    TIGHT-BINDING APPROACH TO COMPUTATIONAL MATERIALS SCIENCE, 1998, 491 : 155 - 166
  • [47] Quantum criticality in dissipative quantum two-dimensional XY and Ashkin-Teller models: Application to the cuprates
    Aji, Vivek
    Varma, C. M.
    PHYSICAL REVIEW B, 2009, 79 (18):
  • [48] Symmetry-respecting real-space renormalization for the quantum Ashkin-Teller model
    O'Brien, Aroon
    Bartlett, Stephen D.
    Doherty, Andrew C.
    Flammia, Steven T.
    PHYSICAL REVIEW E, 2015, 92 (04):
  • [49] SOME FINITE-SIZE AMPLITUDES AND CRITICAL EXPONENTS FOR POTTS AND ASHKIN-TELLER QUANTUM CHAINS
    HAMER, CJ
    BATCHELOR, MT
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (03): : L173 - L178
  • [50] Monte Carlo study of thin magnetic Ashkin Teller films at the special point
    Benmansour, Amel
    Bekhechi, Smaine
    Brahmi, Badr-Eddine Nabil
    Moussa, Najem
    Ez-Zahraouy, Hamid
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2020, 511