# 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} }

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

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- 2014

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

- Physics
- 2010

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)

- Physics
- 2008

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…

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