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• W2041438476 startingPage "2588" @default.
• W2041438476 abstract "A continuum interface model is constructed to study the low-temperature properties of domain walls in the random-field Ising model (RFIM). The width of the domain wall and its surface tension are computed by three methods: Simple energy accounting, dimensional arguments, and approximate renormalization-group calculations. All methods yield a surface tension which is positive at sufficiently low temperature for small random fields, $h$, provided that the dimensionality $d>2$. The lower critical dimension of the RFIM is thus argued to be 2. While effects due to discreteness of a lattice are argued to alter some of the continuum results quantitatively, they do not change these central conclusions. For $d<2$ the ferromagnetic correlation length of the RFIM behaves like ${h}^{ensuremath{-}2{(2ensuremath{-}d)}^{ensuremath{-}1}}$ as $hensuremath{rightarrow}0$." @default.
• W2041438476 created "2016-06-24" @default.
• W2041438476 creator A5079272367 @default.
• W2041438476 creator A5088785955 @default.
• W2041438476 date "1983-09-01" @default.
• W2041438476 modified "2023-10-10" @default.
• W2041438476 title "Surface tension, roughening, and lower critical dimension in the random-field Ising model" @default.
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• W2041438476 doi "https://doi.org/10.1103/physrevb.28.2588" @default.
• W2041438476 hasPublicationYear "1983" @default.
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