Indispensable factors influence the quasi-bound levels of biased multi-barrier quantum well structures

A few of mistakes made in transfer matrix method of Airy functions in previous literatures have been identified and corrected in this work. By using our improved transfer matrix method of Airy functions, quasi-bound level dependence upon carrier effective masses, bias, well width, barrier width and height has been investigated systematically for several biased/unbiased double/triple-barrier quantum well structures. Its validity and accuracy has been proved by comparisons with other currently used techniques. It is shown that our improved transfer matrix method of Airy functions is more promising for evaluating and designing intra-band transition far-infrared detectors and quantum cascade lasers.