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

G. Schröder, T. Knetter, Mikko J. Alava +1 more

U. Brandt, W. Gro�

Toshiyuki Hamasaki, Hidetoshi Nishimori

We derive the exact ground-state energies of the random-field Ising chain and ladder. The random fields consist of three possible values for the chain model and bimodal fields for the ladder model. The results are piecewise linear as a function of the random-field strength. The zero-temperature transfer matrix method is used to obtain these results.

Toshiyuki Hamasaki, Hidetoshi Nishimori

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.

Mustansir Barma, K.C. Sharma

A. F. Sadreev