dc.contributor.author |
Harmer, M. |
en |
dc.contributor.author |
Pavlov, B. |
en |
dc.contributor.author |
Yafyasov, A. |
en |
dc.date.accessioned |
2009-08-28T03:21:17Z |
en |
dc.date.available |
2009-08-28T03:21:17Z |
en |
dc.date.issued |
2006-05 |
en |
dc.identifier.citation |
Department of Mathematics - Research Reports-548 (2006) |
en |
dc.identifier.issn |
1173-0889 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/5021 |
en |
dc.description.abstract |
A two-dimensional junction is modelled by a quantum graph with a resonance hode. The boundary condition at the node is calculated from the frirst principles . In low temperators limit for simplest T-junction it coincides with the the boundary condition suggested by Datta. The free parameter contained in Datta's condition is interpreted in spectral terms of an intermediate Hamiltonian. The derived boundary condition is applicable for any junction of straight semi-infinite quantum wires attached to the quantum dot, if the junction is thin : the ratio r of the diameter of the quantum dot to the width of the wires is sufficintly large $r approx 4 - 10 $. |
en |
dc.publisher |
Department of Mathematics, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
Research Reports - Department of Mathematics |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.math.auckland.ac.nz/Research/Reports/view.php?id=548 |
en |
dc.title |
Boundary condition at the junction |
en |
dc.type |
Technical Report |
en |
dc.subject.marsden |
Fields of Research::230000 Mathematical Sciences::230100 Mathematics |
en |
dc.rights.holder |
The author(s) |
en |