Dynamics of vortices in planar pinning centers and anisotropic conductivity in type-II superconductors

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.3433· OSTI ID:528109

Mawatari, Y ^[1]

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1. Frontier Technology Division, Electrotechnical Laboratory, 1-1-4 Umezono, Tsukuba, Ibaraki 305 (Japan)

We investigate the two-dimensional dynamics of vortices in planar pinning centers with thermal fluctuations on the basis of a Fokker-Planck equation and derive explicit expressions for the electric conductivity tensor {sigma}{sub ij} and the resistivity tensor {rho}{sub ij} due to the vortex motion. It is shown that the off-diagonal components {sigma}{sub xy} and {rho}{sub xy} have large symmetric contributions, which do not change their signs upon reversing the magnetic-field direction due to the anisotropy of pinning and of vortex viscosity. The symmetric part of the transverse resistivity, referred to as the even Hall effect, arises from competition between the guided motion of vortices in planar pinning centers and the thermal hopping of vortices over the pinning barriers. A scaling law for a current parallel to the pinning planes is expected as {rho}{sub {perpendicular}}{proportional_to}{rho}{sub {parallel}}, where {rho}{sub {perpendicular}} is the transverse resistivity and {rho}{sub {parallel}} is the longitudinal resistivity. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 528109
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 6 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANISOTROPY
DYNAMICS
ELECTRIC CONDUCTIVITY
FLUCTUATIONS
FOKKER-PLANCK EQUATION
MAGNETIC FLUX
TYPE-II SUPERCONDUCTORS
VORTICES