About: Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems     Goto   Sponge   NotDistinct   Permalink

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  • 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 and demonstrate that the critical metal-insulator transition is preceded by a pole in a two-particle irreducible vertex. Unlike the singularity in the self-energy the divergence in the irreducible vertex does not lead to non-analyticities in measurable physical quantities.
  • 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 and demonstrate that the critical metal-insulator transition is preceded by a pole in a two-particle irreducible vertex. Unlike the singularity in the self-energy the divergence in the irreducible vertex does not lead to non-analyticities in measurable physical quantities. (en)
Title
  • Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems
  • Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems (en)
skos:prefLabel
  • Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems
  • Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems (en)
skos:notation
  • RIV/68378271:_____/14:00438839!RIV15-AV0-68378271
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  • RIV/68378271:_____/14:00438839
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  • metal-insulator transition; disordered and interacting electron systems; dynamical mean-field theory; critical behavior (en)
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  • US - Spojené státy americké
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  • Physical Review. B
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  • 90
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  • Janiš, Václav
  • Pokorný, Vladislav
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  • 000339975400004
issn
  • 1098-0121
number of pages
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  • 10.1103/PhysRevB.90.045143
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