Persistent currents through a quantum impurity: Protection through integrability

Details Persistent currents through a quantum impurity: Protection through integrability Persistent currents through a quantum impurity: Protection through integrability

2006-12-11

arxiv.org/abs/cond-mat/0612267v3

Phys. Rev. B 76, 073408 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, minor updates

Scientific paper

10.1103/PhysRevB.76.073408

We consider an integrable model of a one-dimensional mesoscopic ring with the conduction electrons coupled by a spin exchange to a magnetic impurity. A symmetry analysis based on a Bethe Ansatz solution of the model reveals that the current is insensitive to the presence of the impurity. We argue that this is true for any integrable impurity-electron interaction, independent of choice of physical parameters or couplings. We propose a simple physical picture of how the persistent current gets protected by integrability.

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