Effects of geometric phases in Josephson junction arrays

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)
26 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)562-565
Number of pages3
JournalPhysical Review Letters
Issue number3
Publication statusPublished - 15 Jul 1996


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


Dive into the research topics of 'Effects of geometric phases in Josephson junction arrays'. Together they form a unique fingerprint.

Cite this