Conductance of Open Quantum Billiards and Classical Trajectories

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dc.creatorNazmitdinov, R. G.
dc.creatorPichugin, K. N.
dc.creatorRotter, I.
dc.creatorSeba, P.
dc.date2001-11-16
dc.date2001-11-19
dc.date.accessioned2026-07-07T12:37:40Z
dc.date.available2026-07-07T12:37:40Z
dc.descriptionWe analyse the transport phenomena of 2D quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S-matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes (WGM) and bouncing ball modes (BBM). In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S-matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.
dc.description19 pages, 6 figures (jpg), 2 tables
dc.identifierhttps://arxiv.org/abs/cond-mat/0111301
dc.identifierhttp://arxiv.org/abs/cond-mat/0111301
dc.identifierPhys.Rev.B66:085322,2002
dc.identifierdoi:10.1103/PhysRevB.66.085322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218517
dc.subjectMesoscale and Nanoscale Physics
dc.titleConductance of Open Quantum Billiards and Classical Trajectories
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