Multifractality and the distribution of the Kondo temperature at the Anderson transition

Abstract

Using numerical simulations, we investigate the distribution of Kondo temperatures at the Anderson transition. In agreement with previous work, we find that the distribution has a long tail at small Kondo temperatures. Recently, an approximation for the tail of the distribution was derived analytically. This approximation takes into account the multifractal distribution of the wavefunction amplitudes (in the parabolic approximation), and power law correlations between wave function intensities, at the Anderson transition. It was predicted that the distribution of Kondo temperatures has a power law tail with a universal exponent. Here, we attempt to check that this prediction holds in a numerical simulation of Anderson's model of localisation in three dimensions.

published in European Physical Journal B, topical issue on "Recent advances in the theory of disordered systems."

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• Anderson Transitions
• The Kernel Polynomial Method
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Cited by in corpus (4)

• Generalized multifractality at spin quantum Hall transition
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Inhomogeneous Kondo destruction by RKKY correlations