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

Toshiyuki Hamasaki, Hidetoshi Nishimori
2005 Progress of Theoretical Physics Supplement  
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.
doi:10.1143/ptps.157.120 fatcat:qprlx56a2fgdlm2ylh7qsrohou