Universal Scaling of Pinning Effect on Hall Anomaly near the Vortex Glass Transition and Doping Dependence Problems of Superconductors

2008/04/06 by Lin He, He, L., Hu, X. +12
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Theoretical and Computational Physics #Thermal Analysis in Power Transmission

paper · pdf · doi:10.48550/arxiv.0804.0883

openalex publication_date 2008/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find universal scaling relations of the pinning effect on the Hall resistivity ρ_xy and Hall angle θ_H. Considering the extended power law form of ρ_xx and the microscopic analysis of σ_xy, we obtain unified ρ_xy equations for superconductors with and without double sign reversal. These equations reasonably explain the striking universality in doping dependence found by Nagoaka et al., which contradicts the prediction of the time dependent Ginzburg-Landau equation based on s-wave coupling theory [PRL \bf80,3594 (1998)]. A full comparison of experiment with prediction from theoretical models is proposed.

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