Abstract
The non-Markovian behaviour of confined systems of electrons interacting with both elastic and inelastic scattering is studied by the holomorphic memory-function method. First, a 'ballistic memory function' is identified, which shows that the conductance quantization of waveguides is caused by long-lived correlations between the device contacts. Second, an 'interacting memory function' shows the mutual influence of geometrical confinement and dissipative mechanisms. Lateral quantization is associated with diffusive boundary scattering which causes phase-breaking effects when it interacts with elastic scattering centres. This affects both the electron mass through renormalization, and the transport relaxation time, through a shift.
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