Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects

Intersubband semiconductor-Bloch equations are investigated by incorporating many-body Coulomb interaction, nonparabolicity, and coherence of resonant tunneling transport in a quantitative way based on the density matrix theory. The calculations demonstrate the importance of these parameters on opti...

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Main Authors: Liu, Tao, Lee, Kenneth E., Wang, Qi Jie
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/96317
http://hdl.handle.net/10220/10225
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author Liu, Tao
Lee, Kenneth E.
Wang, Qi Jie
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Liu, Tao
Lee, Kenneth E.
Wang, Qi Jie
author_sort Liu, Tao
collection NTU
description Intersubband semiconductor-Bloch equations are investigated by incorporating many-body Coulomb interaction, nonparabolicity, and coherence of resonant tunneling transport in a quantitative way based on the density matrix theory. The calculations demonstrate the importance of these parameters on optical properties, especially the optical gain spectrum, of terahertz (THz) quantum cascade lasers (QCLs). The results show that the lasing frequency at gain peak calculated by the proposed microscopic density matrix model is closer to the experimentally measured result, compared with that calculated by the existing macroscopic density matrix model. Specifically, both the many-body interaction and nonparabolicity effects red-shift the gain spectrum and reduce the gain peak. In addition, as the injection-coupling strength increases, the gain peak value is enhanced and the spectrum is slightly broadened, while an increase of the extraction-coupling strength reduces the gain peak value and broadens the gain spectrum. The dependence of optical gain of THz QCLs on device parameters such as external electrical bias, dephasing rate, doping density, and temperature is also systematically studied in details. This model provides a more comprehensive picture of the optical properties of THz QCLs from a microscopic point of view and potentially enables a more accurate and faster prediction and calculation of the device performance, e.g., gain spectra, current-voltage characteristics, optical output powers, and nonlinear amplitude-phase coupling.
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spelling ntu-10356/963172020-03-07T12:37:21Z Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects Liu, Tao Lee, Kenneth E. Wang, Qi Jie School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Temasek Laboratories DRNTU::Engineering::Electrical and electronic engineering Intersubband semiconductor-Bloch equations are investigated by incorporating many-body Coulomb interaction, nonparabolicity, and coherence of resonant tunneling transport in a quantitative way based on the density matrix theory. The calculations demonstrate the importance of these parameters on optical properties, especially the optical gain spectrum, of terahertz (THz) quantum cascade lasers (QCLs). The results show that the lasing frequency at gain peak calculated by the proposed microscopic density matrix model is closer to the experimentally measured result, compared with that calculated by the existing macroscopic density matrix model. Specifically, both the many-body interaction and nonparabolicity effects red-shift the gain spectrum and reduce the gain peak. In addition, as the injection-coupling strength increases, the gain peak value is enhanced and the spectrum is slightly broadened, while an increase of the extraction-coupling strength reduces the gain peak value and broadens the gain spectrum. The dependence of optical gain of THz QCLs on device parameters such as external electrical bias, dephasing rate, doping density, and temperature is also systematically studied in details. This model provides a more comprehensive picture of the optical properties of THz QCLs from a microscopic point of view and potentially enables a more accurate and faster prediction and calculation of the device performance, e.g., gain spectra, current-voltage characteristics, optical output powers, and nonlinear amplitude-phase coupling. Published version 2013-06-12T02:47:18Z 2019-12-06T19:28:49Z 2013-06-12T02:47:18Z 2019-12-06T19:28:49Z 2012 2012 Journal Article Liu, T., Lee, K. E., & Wang, Q. J. (2012). Microscopic density matrix model for optical gain of terahertz quantum cascade lasers: Many-body, nonparabolicity, and resonant tunneling effects. Physical Review B, 86(23), 235306-. 1098-0121 https://hdl.handle.net/10356/96317 http://hdl.handle.net/10220/10225 10.1103/PhysRevB.86.235306 en Physical review B © 2012 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevB.86.235306].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Liu, Tao
Lee, Kenneth E.
Wang, Qi Jie
Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title_full Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title_fullStr Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title_full_unstemmed Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title_short Microscopic density matrix model for optical gain of terahertz quantum cascade lasers : many-body, nonparabolicity, and resonant tunneling effects
title_sort microscopic density matrix model for optical gain of terahertz quantum cascade lasers many body nonparabolicity and resonant tunneling effects
topic DRNTU::Engineering::Electrical and electronic engineering
url https://hdl.handle.net/10356/96317
http://hdl.handle.net/10220/10225
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