Universality of the metal-insulator transition in three-dimensional disordered systems

2006/06/30 by J. Brndiar, Ján Brndiar, P. Markoš +1 · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.74.153103

published as Phys. Rev. B 74, 153103 (2006)

arxiv created 2006/09/21 · openalex publication_date 2006/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The universality of the metal-insulator transition in a three-dimensional disordered system is confirmed by the numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent \ensuremathν and the multifractal dimensions d_q are independent on the microscopic definition of the disorder and universal along the critical line which separates the metallic and the insulating regime.

Citations

• Scaling at the energy‐driven metal‐insulator transition and the thermoelectric power
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions

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