Walk of a point defect in a model with macroscopic ground state degeneracy

被引：1
|
作者：
Bakaev, AV
Kabanovich, VI
机构：
[1] Computing Center, Russian Academy of Science, 117333 Moscow, 40 Vavilov Str.
来源：
MODERN PHYSICS LETTERS B | 1997年 / 11卷 / 07期
关键词：
D O I：
10.1142/S0217984997000360
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Walks of the point defect in the two- and three-dimensional lattice models of colored hard spheres mimicking the q-state antiferromagnetic Potts model are considered. The walks are generated by moves of neighboring vertices which conserve the ground state energy. Various ''traps'' confining the walks are observed, while for the models with q greater than or equal to 4 and q greater than or equal to 5 on the square and cubic lattices respectively nonvanishing probabilities that all lattice vertices are attainable in a walk are found.
引用
收藏
页码：293 / 296
页数：4
相关论文
共 50 条
  • [1] Macroscopic degeneracy of the ground state in the frustrated Heisenberg diamond chain
    Dmitriev, D., V
    Krivnov, V. Ya.
    PHYSICAL REVIEW B, 2025, 111 (06)
  • [2] Ground state degeneracy of the Ising cage-net model
    Ma, Xiuqi
    Malladi, Ananth
    Wang, Zongyuan
    Wang, Zhenghan
    Chen, Xie
    PHYSICAL REVIEW B, 2023, 107 (08)
  • [3] Nontrivial Ground State Degeneracy of the Spin–Pseudospin Model of a Two-Dimensional Magnet Near the Frustration Point
    D. N. Yasinskaya
    V. A. Ulitko
    Yu. D. Panov
    Physics of the Solid State, 2021, 63 : 1588 - 1592
  • [4] Spontaneous dimensional reduction and ground state degeneracy in a simple chain model
    Skrbic, Tatjana
    Hoang, Trinh Xuan
    Giacometti, Achille
    Maritan, Amos
    Banavar, Jayanth R.
    PHYSICAL REVIEW E, 2021, 104 (01)
  • [5] On the degeneracy of ordered ground state configurations of the aspherical Gaussian core model
    Pini, Davide
    Weissenhofer, Markus
    Kahl, Gerhard
    JOURNAL OF CHEMICAL PHYSICS, 2020, 153 (16):
  • [6] Nontrivial Ground State Degeneracy of the Spin-Pseudospin Model of a Two-Dimensional Magnet Near the Frustration Point
    Yasinskaya, D. N.
    Ulitko, V. A.
    Panov, Yu D.
    PHYSICS OF THE SOLID STATE, 2021, 63 (10) : 1588 - 1592
  • [7] THE POINT-DEFECT MODEL FOR THE PASSIVE STATE
    MACDONALD, DD
    JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 1992, 139 (12) : 3434 - 3449
  • [8] ANYON REPRESENTATION OF THE GROUND-STATE DEGENERACY OF THE QUANTUM FRUSTRATED XY MODEL
    DIAMANTINI, MC
    SODANO, P
    PHYSICAL REVIEW B, 1992, 45 (10): : 5737 - 5739
  • [9] GROUND STATE CONFIGURATIONS IN THE HEITLER-LONDON MODEL WITH ORBITAL DEGENERACY.
    Korovin, L.I.
    Kudinov, E.K.
    Soviet Physics, Solid State (English translation of Fizika Tverdogo Tela), 1975, 16 (09): : 1666 - 1669
  • [10] Ground-state degeneracy in the Levin-Wen model for topological phases
    Hu, Yuting
    Stirling, Spencer D.
    Wu, Yong-Shi
    PHYSICAL REVIEW B, 2012, 85 (07)
12345