TY - GEN

T1 - Quantum correction to the semiclassical electron-phonon scattering operator

AU - Sverdlov, V.

AU - Kosina, H.

AU - Ringhofer, Christian

AU - Nedjalkov, M.

AU - Selberherr, S.

PY - 2006

Y1 - 2006

N2 - A quantum kinetic equation approach is adopted in order to incorporate quantum effects such as collisional broadening due to finite lifetime of single particle states, and collisional retardation due to finite collision time. A quantum correction to the semiclassical electron distribution function is obtained using an asymptotic expansion for the quantum electron-phonon collision operator in its weak formulation. Based on this expansion, the evolution of a highly peaked, nonequilibrium distribution function in Si and Ge is analyzed. It is shown that in Ge and Si, where the electron-phonon interaction is weak, the quantum correction due to the finite collision time leads to an extra broadening of new replicas of the initial distribution function. As the observation time exceeds the collision duration, the quantum correction starts to diminish and the semiclassical solution for a particular replica is recovered.

AB - A quantum kinetic equation approach is adopted in order to incorporate quantum effects such as collisional broadening due to finite lifetime of single particle states, and collisional retardation due to finite collision time. A quantum correction to the semiclassical electron distribution function is obtained using an asymptotic expansion for the quantum electron-phonon collision operator in its weak formulation. Based on this expansion, the evolution of a highly peaked, nonequilibrium distribution function in Si and Ge is analyzed. It is shown that in Ge and Si, where the electron-phonon interaction is weak, the quantum correction due to the finite collision time leads to an extra broadening of new replicas of the initial distribution function. As the observation time exceeds the collision duration, the quantum correction starts to diminish and the semiclassical solution for a particular replica is recovered.

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U2 - 10.1007/11666806_68

DO - 10.1007/11666806_68

M3 - Conference contribution

AN - SCOPUS:33745327831

SN - 3540319948

SN - 9783540319948

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 594

EP - 601

BT - Large-Scale Scientific Computing - 5th International Conference, LSSC 2005, Revised Papers

T2 - 5th International Conference on Large-Scale Scientific Computing, LSSC 2005

Y2 - 6 June 2005 through 10 June 2005

ER -