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

Toshiyuki Hamasaki, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1490-1495
Number of pages6
Journaljournal of the physical society of japan
Volume73
Issue number6
DOIs
Publication statusPublished - 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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