Disorder-induced roughening in the three-dimensional ising model
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Abstract
Using an exact method, we numerically study the zero-temperature roughness of interfaces in the random bond, cubic lattice, Ising model (of size L3, with L<~80). Interfaces oriented along the {100} direction undergo a roughening transition from a weak disorder phase, which is almost flat, to a strong disorder phase with interface width w∼cL0.42 (c is a function of the disorder). For random dilution we find the roughening threshold p∗=0.89±0.01 and c∼p∗−p for p<~p∗ (p is the volume fraction of present bonds). In contrast {111} interfaces are algebraically rough for all disorder.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 14990-14993 |
| Journal | Physical Review E |
| Volume | 54 |
| Issue number | 21 |
| Publication status | Published - 1996 |
| MoE publication type | A1 Journal article-refereed |
- Ising model
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ID: 4971717
