Polaron in Cylindrical and Spherical Quantum Dots

Fai,; Teboul,; Monteil, None; Maabou,

doi:10.5488/cmp.7.1.157

Cited by 7 publications

(8 citation statements)

References 30 publications

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“…The Feynman variational principle [29][30][31][32][33] is one of the most effective methods when investigating the polaron problem for arbitrary values of the electron-phonon coupling constant . The basis of Feynman variational method is the Jensen-Feynman inequality: 20…”

Section: Feynman Variational Principlementioning

confidence: 99%

Feynman Polaron Charateristics in Two Tubular Quantum Dots with Parabolic and Rectangular Potential Wells

Fai¹,

Fomethe²,

Fotué³

et al. 2010

Jnl of Comp & Theo Nano

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A Feynman path integration approach is systematically applied to the polaron problem for the tubular geometry. The method represents a Gaussian approximation. The main quasi particle characteristics of the Fröhlich polaron, namely, the ground state energy and the effective mass are derived for two approaches. Numerical results are obtained with the all coupling limit. The results are found to imitate those of the spherical geometry modified by a logarithmic function. The polaron characteristics for the tubular geometry are found to be numerically greater than those of the spherical geometry. We observe that stronger and enhanced electron-phonon interaction can be achieved and consequently stronger coupling polaron only in tubular quantum dots with parabolic and rectangular confinement potentials.

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Section: Feynman Variational Principlementioning

confidence: 99%

Feynman Polaron Charateristics in Two Tubular Quantum Dots with Parabolic and Rectangular Potential Wells

Fai¹,

Fomethe²,

Fotué³

et al. 2010

Jnl of Comp & Theo Nano

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“…The usual Fröhlich polaron Hamiltonian describing an electron confined in 2D and interacting with the optical phonon with a parabolic potential is [5] (1)…”

Section: Theorymentioning

confidence: 99%

“…Recent advances in microfabrication techniques have made the fabrication of low-dimensional structures possible and have therefore, tend to a great of work on the effect of the electron-phonon interaction in reduced dimensionality [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

The Optical Polaron in a Slab-Like Confinement

Saqqa

Samak

2009

An-Najah University Journal for Research - A

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The problem of a polaron in a quantum slab-like confinement is retrieved using a modified LLP approach. The proposed modification is intended to interpolate between the strong and weak-coupling limits of the problem. It is found that the binding energy increases with decreasing thickness of the slab as well as with increasing coupling constant. The polaronic effect becomes more important with decreasing thickness of the slab.

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“…They conclude that with the increase in the dot radius the magnitude of the polaron energy shift decreases rapidly from large value and then approaches gradually to the bulk value. Fai et al 5 researched the polaron in cylindrical and spherical QDs with parabolic confinement potentials by applying the Feynman variational principle. It is shown that in the case of a spherical QD, the polaron energy for the strong coupling is found to be greater than that of a cylindrical QD.…”

Section: Introductionmentioning

confidence: 99%

The Ground-State Energy of Strong-Coupling Polaron in Quantum Rod

2009

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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 R 0 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 R 0 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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Polaron in Cylindrical and Spherical Quantum Dots

Cited by 7 publications

References 30 publications

Feynman Polaron Charateristics in Two Tubular Quantum Dots with Parabolic and Rectangular Potential Wells

Feynman Polaron Charateristics in Two Tubular Quantum Dots with Parabolic and Rectangular Potential Wells

The Optical Polaron in a Slab-Like Confinement

The Ground-State Energy of Strong-Coupling Polaron in Quantum Rod

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