Current-density functional for disordered systems

2002/03/31 by János Polonyi, Janos Polonyi
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.68.014202

final version, 28 pages, 17 figures, to appear in Phys. Rev. B

arxiv created 2003/05/14 · openalex publication_date 2003/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The effective action for the current and density is shown to satisfy an evolution equation, the functional generalization of Callan-Symanzik equation. The solution describes the dependence of the one-particle irreducible vertex functions on the strength of the quenched disorder and the annealed Coulomb interaction. The result is nonperturbative, no small parameter is assumed. The ac conductivity is obtained by the numerical solution of the evolution equation on finite lattices in the absence of the Coulomb interaction. The static limit is performed and the conductivity is found to be vanishing beyond a certain threshold of the impurity strength.

Citations

• Effective action and density functional theory
• The renormalization group: Critical phenomena and the Kondo problem
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Self-Consistent Equations Including Exchange and Correlation Effects
• Generalized Kohn-Sham Density-Functional Theory via Effective Action Formalism