Electron Conductance and Lifetimes in a Ballistic Electron Waveguide |
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Authors: | Kyungsun Na L E Reichl |
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Institution: | (1) Center for Studies in Statistical Mechanics and Complex Systems, University of Texas at Austin, Austin, Texas, 78712 |
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Abstract: | Ballistic electron waveguides are open quantum systems that can be formed at very low temperatures at a GaAs/AlGaAs interface. Dissipation due to electron–phonon and electron–electron interactions in these systems is negligible. Although the electrons only interact with the walls of the waveguide, they can have a complicated spectrum including both positive energy bound states and quasibound states which appear as complex energy poles of the scattering S-matrix or energy Green's function. The quasibound states can give rise to zeros in the waveguide conductance as the energy of the electrons is varied. The width of the conduction zeros is determined by the lifetimes of the quasibound states. The complex energy spectrum associated with the quasibound states also governs the survival probability of electrons placed in the waveguide cavities. |
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Keywords: | Conductance electron waveguide electron scattering Landauer formula |
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