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Exact Ground-State Energies of the Random-Field Ising Chain and Ladder

Toshiyuki Hamasaki·Hidetoshi Nishimori
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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, -h and 0 for h<J. The zero-temperature transger matrix is used to obtain the results.

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Toshiyuki Hamasaki, Hidetoshi Nishimori. 2004-03-01. Exact Ground-State Energies of the Random-Field Ising Chain and Ladder. https://doi.org/10.1143/ptps.157.120

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