Spectral function method for Hall conductivity of incoherent metals
Osamu Narikiyo
TL;DR
This paper employs a spectral function approach to calculate the Hall conductivity in incoherent metals, revealing why Fermi-liquid theory fails and aligning qualitatively with experimental observations in PCCO superconductors.
Contribution
It introduces a spectral function method to analyze Hall conductivity, clarifying the limitations of Fermi-liquid theory and the fluctuation-exchange approximation in incoherent metals.
Findings
Qualitative agreement with experimental Hall conductivity in PCCO
Fermi-liquid theory fails to explain Hall anomalies
Fluctuation-exchange approximation is inconsistent in this context
Abstract
Using a model spectral function of the electron the Hall conductivity in the normal metallic state of the Pr_{2-x}Ce_xCuO_4 (PCCO) superconductor is calculated neglecting the current vertex-correction. The result is qualitatively consistent with the experiment. Consequently the reason becomes clear why the Fermi-liquid theory fails to explain the anomaly of the Hall conductivity. The inconsistency of the fluctuation-exchange approximation also becomes clear.
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