SELF-SCATTERING PATH-VARIABLE FORMULATION OF HIGH-FIELD, TIME-DEPENDENT, QUANTUM KINETIC-EQUATIONS FOR SEMICONDUCTOR TRANSPORT IN THE FINITE-COLLISION DURATION REGIME

Quantum kinetic equations for describing transport in submicron semiconducting devices in the finite collision duration regime are developed which are nonlocal in time and momentum. Utilizing a projected self-scattering formulation, a retarded path-integral equation is obtained. Quantum kinetic equations are usually exceedingly difficult to solve. The formulation found here presents a powerful technique to achieve these solutions even in the case where nonlocal effects are important. © 1979 The American Physical Society.