Analysis of resonant tunneling using the equivalent transmission-line model

Presents a simple general and exact method for solving resonant tunneling problems in multilayered heterostructures. This method is based on the analogy of wave propagation between the transmission line and the potential structure. By using the proposed method, it is shown that electron wave propagation can be treated as wave propagation on an equivalent circuit and that various problems can be systematically solved by using well-developed circuit functions and circuit matrixes. In particular, our equivalent circuit can be effectively used for analysis of resonant interband tunneling (RIT) structures and resonant tunneling structures including /spl Gamma/-X mixing by using the interface matrix. Various properties of the resonant tunneling structure and a guideline for designing new quantum effect devices can be easily obtained. In order to show the validity and usefulness of this method, some numerical examples of InAs-GaSb and GaAs-AlAs potential barrier structures are presented.

[1]  Ando Valley mixing in short-period superlattices and the interface matrix. , 1993, Physical review. B, Condensed matter.

[2]  M. M. Jahan,et al.  Traversal time in an asymmetric double-barrier quantum-well structure , 1995 .

[3]  Ando,et al.  Connection of envelope functions at semiconductor heterointerfaces. II. Mixings of Gamma and X valleys in GaAs/AlxGa1-xAs. , 1989, Physical review. B, Condensed matter.

[4]  H. Liu,et al.  Resonant tunneling through single layer heterostructures , 1987 .

[5]  E. Mendez,et al.  Resonant tunneling via X‐point states in AlAs‐GaAs‐AlAs heterostructures , 1987 .

[6]  M. Koshiba,et al.  Finite-element calculation of the transmission probability and the resonant-tunneling lifetime through arbitrary potential barriers , 1991 .

[7]  M. Koshiba,et al.  Finite-element analysis of quantum wells of arbitrary semiconductors with arbitrary potential profiles , 1989 .

[8]  Ando,et al.  Connection of envelope functions at semiconductor heterointerfaces. I. Interface matrix calculated in simplest models. , 1989, Physical Review B (Condensed Matter).

[9]  W. I. Wang,et al.  Resonant interband coupling in single‐barrier heterostructures of InAs/GaSb/InAs and GaSb/InAs/GaSb , 1990 .

[10]  Xia Gamma -X mixing effect in GaAs/AlAs superlattices and heterojunctions. , 1990, Physical review. B, Condensed matter.

[11]  M. Rezwan Khan,et al.  Transmission line analogy of resonance tunneling phenomena: the generalized impedance concept , 1988 .

[12]  S. T. Eng,et al.  Solving the Schrodinger equation in arbitrary quantum-well potential profiles using the transfer matrix method , 1990 .

[13]  Krishna Thyagarajan,et al.  A novel numerical technique for solving the one-dimensional Schroedinger equation using matrix approach-application to quantum well structures , 1988 .

[14]  M. Koshiba,et al.  Finite-element analysis of the miniband structures of semiconductor superlattices with arbitrary periodic potential profiles , 1991 .

[15]  M. Koshiba,et al.  Equivalent network approach for multistep discontinuities in electron waveguides , 1995 .

[16]  K. Murakami,et al.  Transient analysis of a class of mixed lumped and distributed constant circuits , 1988, 1988., IEEE International Symposium on Circuits and Systems.