Hall effect and geometric phases in Josephson junction arrays

P. Ao; Y. Tan; X.M. Zhu

doi:10.1007/BF02583602

Hall effect and geometric phases in Josephson junction arrays

P. Ao, Y. Tan, X.M. Zhu

Physics

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Abstract

Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this quantum regime due to the Thouless-Kohmoto-Nightingale-den-Nijs effect.

Original language	English
Pages (from-to)	589-590
Number of pages	1
Journal	Czechoslovak Journal of Physics
Volume	46
Issue number	2
DOIs	https://doi.org/10.1007/BF02583602
Publication status	Published - Feb 1996

Keywords

Josephson junction array
Hall effect
quantum physics
physics
Thouless-Kohmoto-Nightingale-den-Nijs effect

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10.1007/BF02583602

strathprints006166Accepted author manuscript, 71.6 KB

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title = "Hall effect and geometric phases in Josephson junction arrays",

abstract = "Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this quantum regime due to the Thouless-Kohmoto-Nightingale-den-Nijs effect.",

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AU - Ao, P.

AU - Tan, Y.

AU - Zhu, X.M.

PY - 1996/2

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N2 - Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this quantum regime due to the Thouless-Kohmoto-Nightingale-den-Nijs effect.

AB - Since effectively the local contact vortex velocity dependent part of the Magnus force in a Josephson junction array is zero in the classical limit, we predict zero classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this quantum regime due to the Thouless-Kohmoto-Nightingale-den-Nijs effect.

KW - Josephson junction array

KW - Hall effect

KW - quantum physics

KW - physics

KW - Thouless-Kohmoto-Nightingale-den-Nijs effect

UR - http://arxiv.org/PS_cache/cond-mat/pdf/9608/9608090v1.pdf

U2 - 10.1007/BF02583602

DO - 10.1007/BF02583602

M3 - Article

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SP - 589

EP - 590

JO - Czechoslovak Journal of Physics

JF - Czechoslovak Journal of Physics

IS - 2

ER -

Hall effect and geometric phases in Josephson junction arrays

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Keywords

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