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Effect of the anisotropic parabolic potential on the polaron’s properties in asymmetric Gaussian quantum wells

Effect of the anisotropic parabolic potential on the polaron’s properties in asymmetric Gaussian... Abstract.In the current study, the linear combination operator (LCO) and Lee–Low–Pines unitary transformation (LLPUT) are adopted to verify the effect of the anisotropic parabolic potential (APP) on the polaron’s properties in the asymmetric Gaussian quantum well (AGQW). Relations of the vibrational frequency (VF) and the ground state energy (GSE) of weak coupling polaron in the AGQW for GaAs crystal varying with the effective confinement strengths of the APP, the barrier height, and range of the asymmetric Gaussian confinement potential (AGCP) are derived. The numerical calculated results illustrate that the GSE and VF of the weak coupling polaron in the AGQW can increase according to the effective confinement strengths’ growth for given values of the barrier height and range of the AGCP. They will increase by increasing the barrier height of the AGCP. However, they are decreasing functions of the range of the AGCP for the determined values of the effective confinement strengths and the barrier height of the AGCP. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Nanophotonics SPIE

Effect of the anisotropic parabolic potential on the polaron’s properties in asymmetric Gaussian quantum wells

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References (34)

Publisher
SPIE
Copyright
© 2021 Society of Photo-Optical Instrumentation Engineers (SPIE)
ISSN
1934-2608
eISSN
1934-2608
DOI
10.1117/1.jnp.15.016001
Publisher site
See Article on Publisher Site

Abstract

Abstract.In the current study, the linear combination operator (LCO) and Lee–Low–Pines unitary transformation (LLPUT) are adopted to verify the effect of the anisotropic parabolic potential (APP) on the polaron’s properties in the asymmetric Gaussian quantum well (AGQW). Relations of the vibrational frequency (VF) and the ground state energy (GSE) of weak coupling polaron in the AGQW for GaAs crystal varying with the effective confinement strengths of the APP, the barrier height, and range of the asymmetric Gaussian confinement potential (AGCP) are derived. The numerical calculated results illustrate that the GSE and VF of the weak coupling polaron in the AGQW can increase according to the effective confinement strengths’ growth for given values of the barrier height and range of the AGCP. They will increase by increasing the barrier height of the AGCP. However, they are decreasing functions of the range of the AGCP for the determined values of the effective confinement strengths and the barrier height of the AGCP.

Journal

Journal of NanophotonicsSPIE

Published: Jan 1, 2021

Keywords: asymmetric Gaussian quantum well; polaron; linear combination operator; ground state energy; vibrational frequency; anisotropic parabolic potential

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