Kronig-Penney model simulation with equivalent circuit method

The Kronig-Penney model is quite useful for illustrating many important features of the quantum behaviour of electrons in periodic lattice. Although the Kronig-Penney model is well-known and has been discussed in solid state textbooks, we try to use a simple and accessible way without the extremely laborious and tedious algebra evaluation to solve Kronig-Penney model. This paper presents a simple method without solving the difficult eigen-problem to solve the Kronig-Penney model, and the important energy band characteristics can be easily obtained with circuit concepts. The simulation results are presented to demonstrate the accuracy and superiority of the model.