Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction

Abstract

Using the two-loop 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 single-particle Green's function. We determine anomalous dimensions of all such pure scaling operators in the interacting theory within the two-loop approximation.

arXiv commentLatex, 15 pages

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Cited by in corpus (9)

• Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Generalized multifractality at spin quantum Hall transition
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Conformal Invariance and Multifractality at Anderson Transitions in Arbitrary Dimensions
• Generalized surface multifractality in 2D disordered systems
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Boundary multifractality in the spin quantum Hall symmetry class with interaction