General R-matrix approach for integrating the multiband <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="bold">k</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="bold">p</mml:mi></mml:math> equation in layered semiconductor structures

A straightforward scattering matrix method derived from the Hybrid matrix method is proposed to study band gaps of elastic waves propagating along an arbitrary direction in one-dimensional ordered and disordered phononic crystals. We show that this is a suitable alternative methodology to overcome the numerical degradation manifested by the standard transfer matrix method even in calculations where nonlossy elastic medium and/or relatively low angles of incidence are involved. Using the wave equation in the matrix Sturm-Liouville form, we show analytically that we can use the value of the determinant of the associated transfer matrix T, to check the numerical accuracy of our calculations. The localization factor concept and transmittance spectra are used to describe the band gaps. In contrast to the matrix T, the numerical stability of the proposed scattering matrix allows to obtain true transmittance spectra whose band gaps correspond to those predicted by the localization factor values for both ordered and disordered phononic crystals. Furthermore, for the numerical examples provided, the proposed method requires fewer iterations to obtain the same value of the Lyapunov exponent compared with the standard transfer matrix method.

show abstract

High Band-to-Band Tunneling Current in InAs/GaSb Heterojunction Esaki Diodes by the Enhancement of Electric Fields Close to the Mesa Sidewalls

Hou

Shih

Lin

et al. 2021

IEEE Trans. Electron Devices

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

General R-matrix approach for integrating the multiband k⋅p equation in layered semiconductor structures

Cited by 3 publications

References 42 publications

A stable method to solve the Matrix Sturm-Liouville Equation for inhomogeneous layered structures

A stable method to solve the Matrix Sturm-Liouville Equation for inhomogeneous layered structures

The scattering matrix approach: A study of elastic waves propagation in one-dimensional disordered phononic crystals

High Band-to-Band Tunneling Current in InAs/GaSb Heterojunction Esaki Diodes by the Enhancement of Electric Fields Close to the Mesa Sidewalls

Contact Info

Product

Resources

About