Hall angle in high-T_c cuprates: Anomalous temperature dependence and anisotropic scattering

1997/04/22 by N. Kumar, Kumar, N.
Physics and Astronomy · #Theoretical and Computational Physics #Physics of Superconductivity and Magnetism #Advanced Condensed Matter Physics

paper · pdf · doi:10.48550/arxiv.cond-mat/9704180

Abstract

The anisotropy of the scattering rates, 1/τ_tr ∝ T and 1/τ_H ∝ T², implied effectively by the anomalous temperature dependence of the normal-state in-plane Hall angle, \cot θ∝ T², observed in the high-T_c layered cuprates is reasoned out to be a natural consequence of the semiclassical Boltzmann transport equation with crossed electric (E) and magnetic (H) fields. It is argued that while the scattering rate 1/τ_tr describes the longitudinal relaxation of the dipolar E-perturbations to the circular zero-field reference distribution function which is known to correspond to a non-Fermi liquid with 1/τ_tr ∝ T, the scattering rate 1/τ_H describes the transverse relaxation of the H-perturbations to the E-induced shifted reference distribution which is Fermi-liquid-like giving 1/τ_H ∝ T². Incorporation of impurity scattering gives \cot θ_H = aT² + b in agreement with the observed temperature dependence.

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