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تسجيل مستخدم جديدCritical exponent for the Anderson transition in the three dimensional orthogonal universality class
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We report a careful finite size scaling study of the metal insulator transition in Andersons model of localisation. We focus on the estimation of the critical exponent $ u$ that describes the divergence of the localisation length. We verify the universality of this critical exponent for three different distributions of the random potential: box, normal and Cauchy. Our results for the critical exponent are consistent with the measured values obtained in experiments on the dynamical localisation transition in the quantum kicked rotor realised in a cold atomic gas.
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We report improved numerical estimates of the critical exponent of the Anderson transition in Andersons model of localization in $d=4$ and $d=5$ dimensions. We also report a new Borel-Pade analysis of existing $epsilon$ expansion results that incorpo
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