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 language | English |
|---|---|
| Pages (from-to) | 1490-1495 |
| Number of pages | 6 |
| Journal | journal of the physical society of japan |
| Volume | 73 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2004 Jun |
Keywords
- Exact solution
- Ground-state energy
- Random-field Ising model
- Transfer matrix
ASJC Scopus subject areas
- Physics and Astronomy(all)