Aharonov-Bohm effect and resonances in the circular quantum billiard with two leads

Details Aharonov-Bohm effect and resonances in the circular quantum billiard with two leads Aharonov-Bohm effect and resonances in the circular quantum billiard with two leads

1998-07-12

arxiv.org/abs/cond-mat/9807172v2

Phys. Rev. B, 59, pp. 8163-8169 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX2e, 8 pages, 6 figures, submitted to Phys. Rev. B (Two references added. A discussion on discrete symmetries removed.)

Scientific paper

10.1103/PhysRevB.59.8163

We calculate the conductance through a circular quantum billiard with two leads and a point magnetic flux at the center. The boundary element method is used to solve the Schrodinger equation of the scattering problem, and the Landauer formula is used to calculate the conductance from the transmission coefficients. We use two different shapes of leads, straight and conic, and find that the conductance is affected by lead geometry, the relative positions of the leads and the magnetic flux. The Aharonov-Bohm effect can be seen from shifts and splittings of fluctuations. When the flux is equal to (h/2e) and the angle between leads is 180 degree, the conductance tends to be suppressed to zero in the low energy range due to the Aharonov-Bohm effect.

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