Abstract
We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.
| Original language | English |
|---|---|
| Article number | 066110 |
| Pages (from-to) | 1-4 |
| Journal | Physical Review E |
| Volume | 63 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2001 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- Interface and surface thermodynamics
- Interface structure and roughness
- random magnets
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Seppälä, E. T., Alava, M. J., & Duxbury, P. M. (2001). Extremal statistics in the energetics of domain walls. Physical Review E, 63(6), 1-4. [066110]. https://doi.org/10.1103/PhysRevE.63.066110