Exact ground-state energies of the random-field Ising chain and ladder

被引：3

作者：

Hamasaki, T ^{[1
]}

Nishimori, H ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2004年 / 73卷 / 06期

关键词：

transfer matrix; random-field Ising model; exact solution; ground-state energy;

D O I：

10.1143/JPSJ.73.1490

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the exact ground-state energy of the one-dimensional Ising model in random fields taking values h, 0 and -h with general probabilities. The random-field Ising model on a ladder is also analyzed by showing its equivalence to the random-field Ising chain with field values +/-h and 0 for h < J. The zero-temperature transfer matrix is used to obtain the results.

引用

页码：1490 / 1495

页数：6

共 50 条

[1] Exact ground-state energies of the random-field Ising chain and ladder
Hamasaki, T
Nishimori, H
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 2005, (157): : 120 - 123
[2] Ground-state optimization and hysteretic demagnetization: The random-field Ising model
Alava, MJ
Basso, V
Colaiori, F
Dante, L
Durin, G
Magni, A
Zapperi, S
PHYSICAL REVIEW B, 2005, 71 (06)
[3] THE GROUND-STATE OF THE 3-DIMENSIONAL RANDOM-FIELD ISING-MODEL
IMBRIE, JZ
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 98 (02) : 145 - 176
[4] Quasi-exact ground-state extrapolation for the random-field Potts model
Kumar, Manoj
Weigel, Martin
COMPUTER PHYSICS COMMUNICATIONS, 2023, 286
[5] Ground-state numerical study of the three-dimensional random-field Ising model
Dukovski, I
Machta, J
PHYSICAL REVIEW B, 2003, 67 (01)
[6] Random-field Ising model on hierarchical lattices: thermodynamics and ground-state critical properties
Rosas, A
Coutinho, S
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 335 (1-2) : 115 - 142
[7] Ground state nonuniversality in the random-field Ising model
Duxbury, PM
Meinke, JH
PHYSICAL REVIEW E, 2001, 64 (03): : 4
[8] Exact ground state calculation of the interface morphology in the two-dimensional random-field Ising model
Jost, M
Esser, J
Usadel, KD
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1997, 202 (02): : R11 - R12
[9] Ground-state morphologies in the random-field Ising model: Scaling properties and non-Porod behavior
Shrivastav, Gaurav P.
Kumar, Manoj
Banerjee, Varsha
Puri, Sanjay
PHYSICAL REVIEW E, 2014, 90 (03):
[10] METASTABLE STATES OF THE RANDOM-FIELD ISING CHAIN
MASUI, S
JACOBS, AE
WICENTOWICH, C
SOUTHERN, BW
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (01): : 25 - 37

← 1 2 3 4 5 →