Open AccessExact Ground-State Energies of the Random-Field Ising Chain and Ladder
Author(s) -
Toshiyuki Hamasaki,
Hidetoshi Nishimori
Publication year - 2005
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.157.120
Subject(s) - chain (unit) , ground state , random field , ising model , statistical physics , piecewise , field (mathematics) , transfer matrix , mathematics , physics , mathematical analysis , quantum mechanics , pure mathematics , computer science , statistics , computer vision
We derive the exact ground-state energy of the one-dimensional Ising model inrandom fields taking values h, 0 and -h with general probabilities. Therandom-field Ising model on a ladder is also analyzed by showing itsequivalence to the random-field Ising chain with field values h, -h and 0 forh
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