V Janiš 2009 J. Phys.: Condens. Matter 21 485501 doi:10.1088/0953-8984/21/48/485501
V Janiš
Show affiliationsWe discuss restrictions on the existence of the diffusion pole in the translationally invariant diagrammatic treatment of disordered electron systems. We analyze Bethe–Salpeter equations for the two-particle vertex in the electron–hole and the electron–electron scattering channels and derive for systems with electron–hole symmetry a nonlinear integral equation that the two-particle irreducible vertices from both channels must obey. We use this equation and a parquet decomposition of the full vertex to set restrictions on an admissible form of the two-particle singularity induced by probability conservation. We find that such a singularity in two-particle functions can exist only if it is integrable, that is, only in the metallic phase in dimensions d>2.
72.10.Bg General formulation of transport theory
Issue 48 (2 December 2009)
Received 21 July 2009, in final form 19 October 2009
Published 6 November 2009
V Janiš 2009 J. Phys.: Condens. Matter 21 485501
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