Phys. Rev. E 58, R5217–R5220 (1998)Disorder, order, and domain wall roughening in the two-dimensional random field Ising model
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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.58.R5217
DOI:
10.1103/PhysRevE.58.R5217
PACS:
64.60.Cn, 05.50.+q
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