Effects of geometric phases in Josephson junction arrays

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

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We show that the en route vortex velocity dependent part of the Magnus force in a Josephson junction array is effectively zero, and predict zero Hall effect in the classical limit. However, geometric phases due to the finite superfluid density at superconductor grains have a profound influence on the quantum dynamics of vortices. Subsequently we find rich and complex Hall behaviors analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum regime.
LanguageEnglish
Pages562-565
Number of pages3
JournalPhysical Review Letters
Volume77
Issue number3
DOIs
Publication statusPublished - 15 Jul 1996

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Josephson junctions
vortices
Hall effect
routes

Keywords

  • physics
  • Josephson junction array
  • Hall effect
  • superconductors
  • quantum
  • geometric phases

Cite this

Zhu, X.M. ; Tan, Yong ; Ao, P. / Effects of geometric phases in Josephson junction arrays. In: Physical Review Letters. 1996 ; Vol. 77, No. 3. pp. 562-565.
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Effects of geometric phases in Josephson junction arrays. / Zhu, X.M.; Tan, Yong; Ao, P.

In: Physical Review Letters, Vol. 77, No. 3, 15.07.1996, p. 562-565.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Zhu, X.M.

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AU - Ao, P.

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N2 - We show that the en route vortex velocity dependent part of the Magnus force in a Josephson junction array is effectively zero, and predict zero Hall effect in the classical limit. However, geometric phases due to the finite superfluid density at superconductor grains have a profound influence on the quantum dynamics of vortices. Subsequently we find rich and complex Hall behaviors analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum regime.

AB - We show that the en route vortex velocity dependent part of the Magnus force in a Josephson junction array is effectively zero, and predict zero Hall effect in the classical limit. However, geometric phases due to the finite superfluid density at superconductor grains have a profound influence on the quantum dynamics of vortices. Subsequently we find rich and complex Hall behaviors analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum regime.

KW - physics

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KW - Hall effect

KW - superconductors

KW - quantum

KW - geometric phases

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