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Relativistic persistent currents in ideal Aharonov-Bohm rings and cylinders by Cotaescu, Ion I. is a scholarly article available to read on EtoBox.

What is Relativistic persistent currents in ideal Aharonov-Bohm rings and cylinders about?

The exact solutions of the complete (1+3)-dimensional Dirac equation of fermions moving in ideal Aharonov-Bohm (AB) rings and cylinders are used for deriving the exact expressions of the relativistic partial currents. It is shown that these currents can be related to the derivative of the fermion energy with respect to the flux parameter, just as in the non-relativistic case. However, a new and remarkable relativistic effect is the saturation of the partial currents for high values of the total angular momentum. Based on this property, the total relativistic persistent currents at $T=0$ is evaluated for rings and cylinders obtaining approximative simple closed formulas.

Author

Cotaescu, Ion I.

Published

2016

Language

EN