| Issue |
Europhys. Lett.
Volume 41, Number 2, January II 1998
|
|
|---|---|---|
| Page(s) | 117 - 122 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00118-y | |
| Published online | 01 September 2002 | |
Mode mixing in quantum waveguides: A gauge field approach
Sektion Physik, Ludwig-Maximilians-Universität München,
Theresienstraße 37, D-80333 München, Germany
Received:
13
October
1997
Accepted:
1
December
1997
It is shown that the elimination of the discrete transverse motion in a waveguide of arbitrary shape may be described in terms of a non-Abelian gauge field for the longitudinal dynamics. This allows for an exact treatment of the scattering between different modes by eliminating the gauge field at the expense of a non-diagonal matrix of local subband energies. The method is applied to calculate the local density of states (LDOS) in a quantum point contact. Contrary to the total conductance which is well described by an adiabatic approximation, mode mixing turns out to play a crucial role for local properties like the LDOS.
PACS: 03.80.+r – General theory of scattering / 72.10.-d – Theory of electronic transport; scattering mechanisms
© EDP Sciences, 1998
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