Conductance of finite systems in the ballistic regime: the dependence on the Fermi energy, magnetic field, and frequency
- 20 December 1988
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 21 (35) , L1147-L1152
- https://doi.org/10.1088/0022-3719/21/35/004
Abstract
The authors derive the frequency-dependent conductance of an ideal finite conductor in the presence of a weak magnetic field. As a model they use a tight-binding Hamiltonian. It is shown that the conductance as a function of the Fermi energy and the magnetic field is quantised. As a function of the frequency and the length of the system the conductance shows oscillatory behaviour.Keywords
This publication has 8 references indexed in Scilit:
- One-dimensional transport and the quantisation of the ballistic resistanceJournal of Physics C: Solid State Physics, 1988
- Quantized conductance of point contacts in a two-dimensional electron gasPhysical Review Letters, 1988
- Observation of the Aharonov-Bohm effect forτ>1Physical Review Letters, 1987
- Gate-controlled transport in narrow GaAs/As heterostructuresPhysical Review B, 1986
- One-Dimensional Conduction in the 2D Electron Gas of a GaAs-AlGaAs HeterojunctionPhysical Review Letters, 1986
- The conductivity of a two-dimensional electronic system of finite width in the presence of a strong perpendicular magnetic field and a random potentialZeitschrift für Physik B Condensed Matter, 1985
- Relation between conductivity and transmission matrixPhysical Review B, 1981
- The Effect of a Magnetic Field on Electrons in a Periodic PotentialPhysical Review B, 1951