Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems

V. Janis; V. Pokorny

doi:10.1103/physrevb.90.045143

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arXiv · 1403.2507

Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems

V. Janis·V. Pokorny

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Abstract

We use the dynamical mean-field approximation to study singularities in the self-energy and a two-particle irreducible vertex induced by the metal-insulator transition of the disordered Falicov-Kimball model. We set general conditions for the existence of a critical metal-insulator transition caused by a divergence of the imaginary part of the self-energy. We calculate explicitly the critical behavior of the self-energy for the symmetric and asymmetric disorder distributions. We demonstrate that the metal-insulator transition is preceded by a pole in a two-particle irreducible vertex. We show that unlike the singularity in the self-energy the divergence in the irreducible vertex does not lead to non-analyticities in measurable physical quantities. We reveal universal features of the critical metal-insulator transition that are transferable also to the Mott-Hubbard transition in the models of the local Fermi liquid.

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V. Janis, V. Pokorny. 2014-07-23. Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems. https://doi.org/10.1103/physrevb.90.045143

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