Higher order Josephson effects

@article{Buniy2008HigherOJ,
  title={Higher order Josephson effects},
  author={Roman V. Buniy and Thomas W. Kephart},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2008},
  volume={43},
  pages={225301}
}
  • R. BuniyT. Kephart
  • Published 13 August 2008
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
Gaussian linking of superconducting loops containing Josephson junctions with enclosed magnetic fields gives rise to interference shifts in the phase that modulates the current carried through the loop, proportional to the magnitude of the enclosed flux. We generalize these results to higher order linking of a superconducting loop with several magnetic solenoids, and show that there may be interference shifts proportional to the product of two or more fluxes. 
3 Citations

Higher-order topological phase: generalizations of the Aharonov-Bohm and Josephson effects

In the magnetic Aharonov-Bohm effect a semiclassical path of a charged particle is gaussian linked with a magnetic flux tube and one observes an interference phase angle proportional to the magnitude

Knotting and higher order linking in physical systems

We discuss physical systems with topologies more complicated than simple gaussian linking. Our examples of these higher topologies are in non-relativistic quantum mechanics and in QCD.

Knots and links in physical systems (結び目とソフトマター物理学--高分子のトポロジー、そして物理学、数学および生物学における関連する話題)

Few physical systems with topologies more complicated than simple gaussian linking have been explored in detail. Here we focus on examples with higher topologies in non-relativistic quantum mechanics

References

SHOWING 1-10 OF 20 REFERENCES

Quantum Interference from a Static Vector Potential in a Field-Free Region

The maximum supercurrent flowing through two Josephson junctions connected in parallel by superconducting links was measured, and the modulation of the current was found to be periodic with a period

The current-phase relation in Josephson junctions

This review provides a theoretical basis for understanding the current-phase relation (CPhiR) for the stationary (dc) Josephson effect in various types of superconducting junctions. The authors

Significance of Electromagnetic Potentials in the Quantum Theory

In this paper, we discuss some interesting properties of the electromagnetic potentials in the quantum domain. We shall show that, contrary to the conclusions of classical mechanics, there exist

Knots and Links

Introduction Codimension one and other matters The fundamental group Three-dimensional PL geometry Seifert surfaces Finite cyclic coverings and the torsion invariants Infinite cyclic coverings and

Algebraic Topology

The focus of this paper is a proof of the Nielsen-Schreier Theorem, stating that every subgroup of a free group is free, using tools from algebraic topology.

Phys

  • Lett. A 372, 2583
  • 2008

Phys

  • Rev. B, 2, 109
  • 1970