Hall Effect in the Abrikosov Lattice of Type-II Superconductors
Abstract
We study vortex charging caused by the Lorentz force on supercurrent based on the augmented quasiclassical equations of superconductivity. Our numerical study on an s-wave vortex lattice in the range Hc1 < H < Hc2 reveals that each vortex core with a single flux quantum also accumulates charge due to the circulating supercurrent and has a Hall voltage across the core. The field dependence of the charge density at the core center is well described by ρ(0) ∝ H(Hc2 - H) with a peak near Hc2/2 originating from competition between the increasing magnetic field and the decreasing pair potential. The peak value of the accumulated charge in a core region of radius 0.5ξ0 is estimated to be about ηΔ0/(kFξ0) × |e| C per Δz = 10 Å along the flux line at low temperatures, where η ≡ πɛ0Δz/|e|2 = 1.09 × 1018 J-1 with e < 0 the charge of an electron, Δ0 the energy gap at T = 0, kF the Fermi wave number, and ξ0 the coherence length at T = 0.
- Publication:
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Journal of the Physical Society of Japan
- Pub Date:
- August 2016
- DOI:
- 10.7566/JPSJ.85.083705
- arXiv:
- arXiv:1607.02807
- Bibcode:
- 2016JPSJ...85h3705K
- Keywords:
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- Condensed Matter - Superconductivity
- E-Print:
- 5 pages, 4 figures