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Theory of anomalous Hall effect for type-II high-Tc and conventional\n superconductors

2011/01/15 by Ming Ju Chou, Chou, Ming Ju, Wei Yeu Chen +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Magnetic Field Sensors Techniques #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.1101.2943

openalex publication_date 2011/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The anomalous Hall effect for type-II superconductors is investigated by\nrandom walk theorem. It is shown that the origin of Hall anomaly is induced by\nthe thermally activated vortex bundle flow (TAVBF) over the\ndirectional-dependent energy barrier formed by the Magus force, random\ncollective pinning force, and strong pinning force inside the vortex bundles.\nThe directional-dependent potential barrier of the vortex bundles renormalizes\nthe Hall and longitudinal resistivities strongly. Under the framework of\npresent theory, it is also shown that the Hall anomaly is universal for type-II\nsuperconductors, either high- or conventional as well as bulk materials or thin\nfilms. The conditions for Hall anomaly and reentry phenomenon are derived, the\nHall and longitudinal resistivities as well as Hall angle for type-II\nsuperconducting films and bulk materials versus temperature and applied\nmagnetic field are calculated. All the results are in agreement with the\nexperiments.\n

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