Whispering gallery modes in open quantum billiards

Details Whispering gallery modes in open quantum billiards Whispering gallery modes in open quantum billiards

2001-04-03

arxiv.org/abs/cond-mat/0104056v1

Phys.Rev.E64:056214,2001

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 3 figures in jpg and gif format

Scientific paper

10.1103/PhysRevE.64.056214

The poles of the S-matrix and the wave functions of open 2D quantum billiards with convex boundary of different shape are calculated by the method of complex scaling. Two leads are attached to the cavities. The conductance of the cavities is calculated at energies with one, two and three open channels in each lead. Bands of overlapping resonance states appear which are localized along the convex boundary of the cavities and contribute coherently to the conductance. These bands correspond to the whispering gallery modes appearing in the classical calculations.

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