The mesoscopic conductance of ballistic rings

Details The mesoscopic conductance of ballistic rings The mesoscopic conductance of ballistic rings

2006-07-28

arxiv.org/abs/cond-mat/0607746v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 14 figures, improved text, corrected figures

Scientific paper

The calculation of the conductance of ballistic rings requires a theory that goes well beyond the Kubo-Drude formula. Assuming "mesoscopic" circumstance of very weak environmental relaxation, the conductance is much smaller compared with the naive expectation. Namely, the electro-motive-force induces an energy absorption with a rate that depends crucially on the possibility to make connected sequences of transitions. Thus the calculation of the mesoscopic conductance is similar to solving a percolation problem. The "percolation" is in energy space rather than in real space. Non-universal structures and sparsity of the perturbation matrix cannot be ignored. The latter are implied by lack of quantum-chaos ergodicity in ring shaped ballistic devices.

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