Theory of the critical state of low-dimensional spin glass

Details Theory of the critical state of low-dimensional spin glass Theory of the critical state of low-dimensional spin glass

1995-07-21

arxiv.org/abs/cond-mat/9507092v1

Physics

Condensed Matter

RevTeX, 33 pages + 1 PostScript figure (uuencoded). Uses german.sty and an input file def.tex, joined. Three additional figure

Scientific paper

10.1051/jp1:1996130

We analyse the critical region of finite-($d$)-dimensional Ising spin glass, in particular the limit of $d$ closely above the lower critical dimension $d_\ell$. At criticality the thermally active degrees of freedom are surfaces (of width zero) enclosing clusters of spins that may reverse with respect to their environment. The surfaces are organised in finite interacting structures. These may be called {\em protodroplets}\/, since in the off-critical limit they reduce to the Fisher and Huse droplets. This picture provides an explanation for the phenomenon of critical chaos discovered earlier. It also implies that the spin-spin and energy-energy correlation functions are multifractal and we present scaling laws that describe them. Several of our results should be verifiable in Monte Carlo studies at finite temperature in $d=3$.

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