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Critical exponents of random Ising-like systems in general dimensions
Authors:Yu Holovatch  M Shpot
Institution:(1) Institute for Condensed Matter Physics, 290005 Lviv, Ukraine, USSR
Abstract:Critical exponents of weakly dilute Ising-like systems are computed for non-integer space dimensionalities in the range 2</dles4. The calculations are performed in the framework of the Callan-Symanzik field-theoretic approach. Two-loop renormalization group functions are obtained as renormalized perturbation theory series expansions directly in noninteger dimensions. The values of the critical exponents are estimated with the use of the two-variable Borel resummation method.
Keywords:Critical phenomena  disordered spin systems  Ising model  field-theoretic approach in general dimensions
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