Application of Circuit Theory to Synthesis of New Materials Using Quantum Effect

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The objective of this research projects is to show new synthesis methods of semiconductor superlattices, and multiple barrier and well structures deriving physically new characteristics utilizing quantum effect. The following results are obtained.(I) Since the lifetime of the resonant state is defined as the transit time to estimate operation speed in double barrier resonant tunneling devices, it is related to the energy width of reasonant level. We propose to obtain the lifetime by utilizing the complex energy of Laplace parameter used in the circuit theory. We show that we easily obtain the lifetime for multiple barrier and well structures.(II) By obtaining complex equivalent circuits for heterointerfaces, we analyze GAMMA-X mixing and quantum wells of Type II or III.By obtaining complex equivalent circuits for boundary conditions, we obtain eigenenergy of quantum well and mini-band structure of periodic potential constituted by GaAs/Al _xGa_<1-x> As, InAs/GaSb. We obtain a synthesis method of one-dimentional potential structure including delta potential with given electron transfer characteristics. We also obtain the equivalent circuit for the 2-band model prposed by Kane, to represent wave characteristics of RIT (Resonant Interband Tunneling) consituted with GaSb, InAs, AlSb.(III) In order to make resonant tunneling diodes more effectively, we propose synthesizing methods to obtain a resonant tunneling level in the conduction band under the Fermi level. We also show an efficient method using deep wells.(IV) We discuss quantum friction. Electrical friction corresponds to energy loss. Since we derive Telegrapher's type equation from Schrodinger equation, we obtain two waves of voltage and current corresponding to wave function. By using these two waves, we can analyze quantum friction as electrical loss.(V) Some quantum waves are presented by Dirac operator. We show some fundamental characteristics of Dirac operator by obtaining the quivalent circuit.