Current-density functional for disordered systems

Details Current-density functional for disordered systems Current-density functional for disordered systems

2002-03-05

arxiv.org/abs/cond-mat/0203090v3

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.68.014202

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 non-perturbative, no small parameter is assumed. The a.c. 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.

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