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Effect of long-range interactions on the critical behavior of three-dimensional disordered systems

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Abstract

A field-theoretical description of the behavior of a disordered Ising system with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions using the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interactions may cause a change in its critical behavior or smearing of the phase transition.

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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 77, No. 8, 2003, pp. 509–512.

Original Russian Text Copyright © 2003 by Belim.

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Belim, S.V. Effect of long-range interactions on the critical behavior of three-dimensional disordered systems. Jetp Lett. 77, 434–437 (2003). https://doi.org/10.1134/1.1587179

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  • DOI: https://doi.org/10.1134/1.1587179

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