In circuits containing closed loops the operator for the current is determined by charge conservation up to an arbitrary divergenceless vortex current. In this work we propose a formula to calculate the magnetically active circulating current I ring flowing along a quantum ring connected to biased leads. By gedanken experiments we argue that I ring can be obtained from the response of the grancanonical energy of the ring to a concatenated magnetic flux. The results agree with those of the conventional approach in the case of isolated rings. However, for connected rings I ring cannot be obtained as a linear combination of bond currents.
Cini, M., Perfetto, E., Stefanucci, G. (2011). Circulating currents and magnetic moments in quantum rings. NANOSCIENCE AND NANOTECHNOLOGY LETTERS, 3(6), 902-906 [10.1166/nnl.2011.1246].
Circulating currents and magnetic moments in quantum rings
CINI, MICHELE;Perfetto, E;STEFANUCCI, GIANLUCA
2011-01-01
Abstract
In circuits containing closed loops the operator for the current is determined by charge conservation up to an arbitrary divergenceless vortex current. In this work we propose a formula to calculate the magnetically active circulating current I ring flowing along a quantum ring connected to biased leads. By gedanken experiments we argue that I ring can be obtained from the response of the grancanonical energy of the ring to a concatenated magnetic flux. The results agree with those of the conventional approach in the case of isolated rings. However, for connected rings I ring cannot be obtained as a linear combination of bond currents.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
