Frequency-Dependent Quantum Conductance and Kinetics of Stepped Surfaces.

An expression for the frequency-dependent quantum conductance is developed within linear response theory. This expression is then applied to a system that exhibits a resonance, such as a quantum-well diode, and an inductive component is observed. The inductive behavior is in qualitative agreement with several experiments on the quantum well diode. Also, the kinetics of stepped crystalline surfaces are studied within a simple Monte-Carlo simulation. Techniques, which focus on the step itself, are developed to study the stepped surface. Time dynamics are also explored. The time dynamics show a temperature dependence which is exactly opposite that which was expected from previous work.