R. Bertoncini, INTERFACE-INDUCED MASS RENORMALIZATION AND RELAXATION-TIME IN NANOSCALE DEVICES, Semiconductor science and technology, 9(5), 1994, pp. 937-940
The non-Markovian behaviour of confined systems of electrons interacti
ng with both elastic and inelastic scattering is studied by the holomo
rphic memory-function method, First, a 'ballistic memory function' is
identified, which shows that the conductance quanization of waveguides
is caused by long-lived correlations between the device contacts. Sec
ond, an 'interacting memory function' shows the mutual influence of ge
ometrical confinement and dissipative mechanisms. Lateral quantization
is associated with diffusive boundary scattering which causes phase-b
reaking effects when it interacts with elastic scattering centres. Thi
s affects both the electron mass through renormalization, and the tran
sport relaxation time, through a shift.