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arXiv · 1502.07563

Relativistic persistent currents in ideal Aharonov-Bohm rings

Ion I. Cotaescu·Doru-Marcel Baltateanu·Ion Cotaescu Jr
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Abstract

The exact solutions of the complete Dirac equation for fermions moving in ideal Aharonov-Bohm rings are used for deriving the exact expressions of the relativistic partial currents. It is show that as in the non-relativistic case these currents can be related to the derivative of the fermion energy with respect to the flux parameter. A specific 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 current at $T=0$ is evaluated giving its analytical expression and showing how this depend on the ring parameters.

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Ion I. Cotaescu, Doru-Marcel Baltateanu, Ion Cotaescu Jr. 2015-02-26. Relativistic persistent currents in ideal Aharonov-Bohm rings. https://doi.org/10.1142/s0217979215502458

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