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Resonances in a two-dimensional electron waveguide with a single<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>-function scatterer
We study the conductance properties of a straight two-dimensional electron waveguide with an s-like scatterer modeled by a single $\ensuremath{\delta}$-function potential with a finite number of modes. Even such a simple system exhibits interesting resonance phenomena. These resonances are explained in terms of quasibound states both by using a direct …