Asymmetric Features in the Resistivity of clean Quasi-one-dimensional Systems: Fano Resonances or non-Born Effects?
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We show that experimentally observed complex line shapes of smeared Van Hove singularities in the resistivity of a quasi-one-dimensional system may be due to non-Born effects in scattering. At low concentration of impurities n < nc ∝ |λ| with respect to scattering amplitude λ the non-Born effects are essential if the Fermi level is sufficiently close to singularity. The structure of the line shape depends on the sign of λ: for repulsion (λ > 0) it is “plateau–minimum–maximum–plateau”, while for attraction (λ < 0) it is “plateau–maximum–minimum–maximum–plateau”. In contrast with Fano-resonance scenario, complex structure of the line shape arises even in the absence of a resonant level.
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