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2009•International Journal of NanoscienceRequires access

THE GROUND-STATE ENERGY OF STRONG-COUPLING POLARON IN QUANTUM ROD

CUI TAO WANG, Cui Lan Zhao, JING LIN XIAO

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Abstract

The vibrational frequency and the ground-state energy of strong-coupling polaron in quantum rod (QR), bounded in parabolic potential with ellipsoidal boundary condition, are respectively, obtained using the linear-combination operator and unitary transformation methods. Numerical results illustrate that the vibrational frequency will increase with decreasing the effective radii R0 of ellipsoidal parabolic potential and the aspect ratio e' of ellipsoid while with increasing electron-bulk longitudinal-optical (LO)-phonon coupling strength α, and that the ground-state energy will increase with decreasing R0 and α. Besides, the ground-state energy will decrease with e' increasing in 0 < e' < 1 area, get to minimum when e' = 1, and then increase with e' increasing in e' > 1 area.

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What this paper is about

The vibrational frequency and the ground-state energy of strong-coupling polaron in quantum rod (QR), bounded in parabolic potential with ellipsoidal boundary condition, are respectively, obtained using the linear-combination operator and unitary transformation methods. Numerical results illustrate that the vibrational frequency will increase with decreasing the effective radii R0 of ellipsoidal parabolic potential and the aspect ratio e' of ellipsoid while with increasing electron-bulk longitudinal-optical (LO)-phonon coupling strength α, and that the ground-state energy will increase with decreasing R0 and α. Besides, the ground-state energy will decrease with e' increasing in 0 < e' < 1 area, get to minimum when e' = 1, and then increase with e' increasing in e' > 1 area.

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Available abstract

The vibrational frequency and the ground-state energy of strong-coupling polaron in quantum rod (QR), bounded in parabolic potential with ellipsoidal boundary condition, are respectively, obtained using the linear-combination operator and unitary transformation methods. Numerical results illustrate that the vibrational frequency will increase with decreasing the effective radii R0 of ellipsoidal parabolic potential and the aspect ratio e' of ellipsoid while with increasing electron-bulk longitudinal-optical (LO)-phonon coupling strength α, and that the ground-state energy will increase with decreasing R0 and α. Besides, the ground-state energy will decrease with e' increasing in 0 < e' < 1 area, get to minimum when e' = 1, and then increase with e' increasing in e' > 1 area.

Key concepts: Ground state, Polaron, Unitary transformation, Coupling (piping), Phonon, Quantum, Ellipsoid, Materials science

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