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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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.

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KW - Transfer matrix

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