Metastate analysis of the ground states of two-dimensional Ising spin glasses

被引：0
|
作者：
Hartmann A.K. [1 ]
Young A.P. [2 ]
机构：
[1] Institut für Physik, Universität Oldenburg, Oldenburg
[2] Department of Physics, University of California, Santa Cruz, 95064, CA
来源：
Physical Review E | 2023年 / 108卷 / 02期
关键词：
Compendex;
D O I：
10.1103/PhysRevE.108.024142
中图分类号：
学科分类号：
摘要：
Using an efficient polynomial-time ground-state algorithm we investigate the Ising spin glass state at zero temperature in two dimensions. For large sizes, we show that the spin state in a central region is independent of the interactions far away, indicating a "single-state"picture, presumably the droplet model. Surprisingly, a single power law describes corrections to this result down to the smallest sizes studied. © 2023 American Physical Society.
引用
收藏
相关论文
共 50 条
  • [41] The quantum transition of the two-dimensional Ising spin glass
    Bernaschi, Massimo
    Gonzalez-Adalid Pemartin, Isidoro
    Martin-Mayor, Victor
    Parisi, Giorgio
    NATURE, 2024, 631 (8022) : 749 - +
  • [42] Ground states of two-dimensional polyampholytes
    Brenner, E
    Kantor, Y
    PHYSICAL REVIEW E, 1997, 56 (05): : 5278 - 5283
  • [43] Particle Swarm Optimization Hybrids for Searching Ground States of Ising Spin Glasses
    Bautu, Andrei
    Bautu, Elena
    Luchian, Henri
    NINTH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING, PROCEEDINGS, 2007, : 415 - +
  • [44] Effect of the block-spin configuration on the location of βc in two-dimensional Ising modelsin two-dimensional Ising models
    Mohamed Ould-Lemrabott
    Journal of Statistical Physics, 1997, 86 : 1109 - 1115
  • [45] Formation of thermally induced ground states in two-dimensional square spin ices
    Greaves, Simon John
    Muraoka, Hiroaki
    JOURNAL OF APPLIED PHYSICS, 2012, 112 (04)
  • [46] Scalings of domain wall energies in two dimensional Ising spin glasses
    Amoruso, C
    Marinari, E
    Martin, OC
    Pagnani, A
    PHYSICAL REVIEW LETTERS, 2003, 91 (08)
  • [47] Ferrimagnetism in two-dimensional mixed-spin Ising model
    Boechat, B
    Filgueiras, R
    Marins, L
    Cordeiro, C
    Branco, NS
    MODERN PHYSICS LETTERS B, 2000, 14 (20): : 749 - 758
  • [48] Duality and multicritical point of two-dimensional spin glasses
    Nishimori, H
    Nemoto, K
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (04) : 1198 - 1199
  • [49] Energy gap of the bimodal two-dimensional Ising spin glass
    Atisattapong, W.
    Poulter, J.
    NEW JOURNAL OF PHYSICS, 2008, 10
  • [50] The critical temperature of the two-dimensional ± J Ising spin glass
    Sungthong, R
    Poulter, J
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (24): : 6675 - 6681
12345