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S-matrix theory for transmission through billiards in tight-binding approach
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology.
Max-Planck-Inst. Phys. Komplexer S., D-01187 Dresden, Germany.
2003 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 36, no 45, 11413-11433 p.Article in journal (Refereed) Published
Abstract [en]

In the tight-binding approximation we consider multi-channel transmission through a billiard coupled to leads. Following Dittos we derive the coupling matrix, the scattering matrix and the effective Hamiltonian, but take into account the energy restriction of the conductance band. The complex eigenvalues of the effective Hamiltonian define the poles of the scattering matrix. For some simple cases, we present exact values for the poles. We derive also the condition for the appearance of double poles.

Place, publisher, year, edition, pages
2003. Vol. 36, no 45, 11413-11433 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46385DOI: 10.1088/0305-4470/36/45/005OAI: oai:DiVA.org:liu-46385DiVA: diva2:267281
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Sadreev, Almas

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