Mesoscopic fluctuations of the singleparticle Green's function at Anderson transitions with Coulomb interaction
Abstract
Using the twoloop analysis and the background field method we demonstrate that the local pure scaling operators without derivatives in the Finkel'stein nonlinear sigma model can be constructed by straightforward generalization of the corresponding operators for the noninteracting case. These pure scaling operators demonstrate multifractal behavior and describe mesoscopic fluctuations of the singleparticle Green's function. We determine anomalous dimensions of all such pure scaling operators in the interacting theory within the twoloop approximation.
 Publication:

Physical Review B
 Pub Date:
 December 2016
 DOI:
 10.1103/PhysRevB.94.245442
 arXiv:
 arXiv:1609.02699
 Bibcode:
 2016PhRvB..94x5442R
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 Latex, 15 pages