WIAS Preprint No. 1504, (2010)

Fano regime of transport through open quantum dots


  • Racec, Roxana
  • Wulf, Ulrich
  • Racec, Paul N.

2010 Mathematics Subject Classification

  • 35P25 35Q40 35B34

2008 Physics and Astronomy Classification Scheme

  • 73.63.Kv 73.23.Ad 72.10.Bg


  • quantum dot, open quantum system, mesoscopic transport, scattering theory, resonances




We analyze a quantum dot strongly coupled to the conducting leads via quantum point contacts - Fano regime of transport - and report a variety of resonant states which demonstrate the dominance of the interacting resonances in the scattering process in a low confining potential. There are resonant states similar to the eigenstates of the isolated dot, whose widths increase with increasing the coupling strength to the environment, and hybrid resonant states. The last ones are approximatively obtained as a linear combination of eigenstates with the same parity in the lateral direction, and the corresponding resonances show the phenomena of resonance trapping or level repulsion. The existence of the hybrid modes suggests that the open quantum dot behaves in the Fano regime like an artificial molecule.

Appeared in

  • Phys. Rev. B., 82 (2010) pp. 085313/1--085313/16.

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