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The Pinning Force and the Flux Velocity in the Mixed‐State Hall Effect
Author(s) -
Zhu B. Y.
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199701)199:1<189::aid-pssb189>3.0.co;2-g
Subject(s) - condensed matter physics , scaling , pinning force , magnetic field , physics , flux pinning , flux (metallurgy) , hall effect , superconductivity , magnetic flux , power law , scaling law , high temperature superconductivity , materials science , critical current , quantum mechanics , mathematics , geometry , metallurgy , statistics
Using the single flux motion model of Wang, Dong, and Ting (WDT) and taking into account both the pinning and thermal fluctuation, we perform a numerical study to investigate the dependence between the average pinning force F‐ p and the flux velocity v L in different temperature regions in the mixed‐state of high‐ T c superconductors. The numerical simulation shows that there does not exist a unified scaling relation between F‐ p and v L in the whole flux flow temperature region, but F‐ p and v L keep a linear dependence in the lower temperature region of the negative Hall effect. The variations of the magnetic field or the pinning concentration do not change this linear relation. Employing this linear relation and WDT's theory, we naturally give the scaling law of ρ xy ∝ ρ β xx with β ≈ 2. We also make a power fit for the data of F‐ p and v L in the high‐temperature region of both the negative and the whole positive Hall effect. Finally, we obtain F‐ p ∼ v —ν L with ν ≈ 1.5 to 2.0 for different magnetic fields and pinning concentrations.