2003/07/31 by V. Janiš, V. Janis, J. Kolorenc +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Causality (physics) #Condensed matter physics #Consistency (knowledge bases) #Diffusion #Discrete mathematics #Electron #Energy (signal processing) #Energy spectrum #Identity (music) #Mathematics #Molecular Junctions and Nanostructures #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #cond-mat.dis-nn
paper · pdf · doi:10.1142/s0217984904007591
published as Mod. Phys. Lett. B18, 1051 (2004) · 4 pages, REVTeX, 6 EPS figures
arxiv created 2004/02/05 · openalex publication_date 2004/08/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We address the problem of fulfilling consistency conditions in solutions for disordered noninteracting electrons. We prove that if we assume the existence of the diffusion pole in an electron–hole symmetric theory we cannot achieve a solution with a causal self-energy that would fully fit the Ward identity. Since the self-energy must be causal, we conclude that the Ward identity is partly violated in the diffusive transport regime of disordered electrons. We explain this violation in physical terms and discuss its consequences.