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

Toshiyuki Hamasaki; Hidetoshi Nishimori

doi:10.1143/JPSJ.73.1490

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

Toshiyuki Hamasaki, Hidetoshi Nishimori

INF - Applied Information Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1490-1495
Number of pages	6
Journal	journal of the physical society of japan
Volume	73
Issue number	6
DOIs	https://doi.org/10.1143/JPSJ.73.1490
Publication status	Published - 2004 Jun

Keywords

Exact solution
Ground-state energy
Random-field Ising model
Transfer matrix

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.73.1490

Cite this

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abstract = "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.",

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author = "Toshiyuki Hamasaki and Hidetoshi Nishimori",

year = "2004",

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AU - Nishimori, Hidetoshi

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N2 - 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.

AB - 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.

KW - Exact solution

KW - Ground-state energy

KW - Random-field Ising model

KW - Transfer matrix

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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