Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 21, Issue 48, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/21/48/485501
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- Academy of Sciences of the Czech Republic [AV0Z10100520]
- Grant Agency of the Czech Republic [202/07/0644]
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We 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.
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