Disorder, order, and domain wall roughening in the two-dimensional random field Ising model

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Ground states and domain walls are investigated with exact combinatorial optimization in two-dimensional random field Ising magnets. The ground states break into domains above a length scale that depends exponentially on the random field strength squared. For weak disorder, this paramagnetic structure has remnant long-range order of the percolation type. The domain walls are super-rough in ordered systems with a roughness exponent ζ close to 6/5. The interfaces exhibit rare fluctuations and multiscaling reminiscent of some models of kinetic roughening and hydrodynamic turbulence.


Original languageEnglish
Pages (from-to)R5217-5220
JournalPhysical Review E
Issue number5
Publication statusPublished - 1998
MoE publication typeA1 Journal article-refereed

ID: 14566971