Persistent Current of Free Electrons in the Plane

Details Persistent Current of Free Electrons in the Plane Persistent Current of Free Electrons in the Plane

1994-04-25

arxiv.org/abs/cond-mat/9404078v1

Phys. Rev. Lett. 74, 828 (1995)

Physics

Condensed Matter

(Comment on ``Relation between Persistent Currents and the Scattering Matrix", Phys. Rev. Lett. {\bf 66}, 76 (1991)) plain lat

Scientific paper

10.1103/PhysRevLett.74.828

Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of $\alpha$ including $1/2$. Different self-adjoint extensions of the problem and role of the resonance are discussed.

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