S-matrix theory for transmission through billiards in tight-binding approach
2003 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 36, no 45, 11413-11433 p.Article in journal (Refereed) Published
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.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-46385DOI: 10.1088/0305-4470/36/45/005OAI: oai:DiVA.org:liu-46385DiVA: diva2:267281