Polaron in the Single-Walled Polar Nanotube

Guseinov, N. M.; Alekperov, O. Z.; Guseinova, S. S.

doi:10.1142/s0217984906012006

Cited by 9 publications

(6 citation statements)

References 10 publications

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“…The normalized wave function of an electron moving freely on the cylindrical surface of an NT of length L z is given by 18,19 …”

Section: Energy States Electron Wave Functions and The Matrix Elemenmentioning

confidence: 99%

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Effect of screening on the phonon-polaron states in diluted magnetic semiconductor nanotubes

Seyid-Rzayeva

2013

Low Temperature Physics

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Articles you may be interested inThe effects of optical phonon on the binding energy of bound polaron in a wurtzite ZnO/Mg x Zn1− x O quantum well J. Appl. Phys. 116, 013512 (2014); 10.1063/1.4887075 Comparative study of rutile and anatase SnO2 and TiO2: Band-edge structures, dielectric functions, and polaron effects J. Appl. Phys. 113, 083703 (2013); 10.1063/1.4793273Effects of electric field and shape on the bound polaron in a wurtzite ellipsoidal finite-potential quantum dotWe calculate the effect of screening on the weakly coupled Fr€ ohlich polaron binding energy of the ground state and the polaron contribution to the mass for the lowest spin-down subband of the conduction band in diluted magnetic semiconductor nanotubes. Expressions for the polaron energy and the polaron contribution to the effective mass are obtained as functions of the magnetic field and the radius of the nanotube, taking into account the screening effect as well as virtual transitions from the ground state with n ¼ 0 to size-quantized subbands with n 0 ¼ 1, 2, …, 10. Numerical calculations show that screening reduces the polaron binding energy and polaron contribution to the effective mass by about 35% and 25%, respectively, for a magnetic field of 0.1 T. Screening reduces the polaron binding energy of the ground state by approximately 30%-15% and also reduces the polaron contribution to the effective mass by 25%-10% when the nanotube radius is increased by 10-40 nm. V C 2013 AIP Publishing LLC. [http://dx.

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“…The normalized wave function of an electron moving freely on the cylindrical surface of an NT of length L z is given by 18,19 …”

Section: Energy States Electron Wave Functions and The Matrix Elemenmentioning

confidence: 99%

“…Equations (18) and (19) yield the polaron binding energy DE n;0;r and the polaron factor A nr for the correction to the kinetic energy, …”

Section: Phonon-polaron Energy and Its Massmentioning

confidence: 99%

Effect of screening on the phonon-polaron states in diluted magnetic semiconductor nanotubes

Seyid-Rzayeva

2013

Low Temperature Physics

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“…We consider an NT with radius r 0 , on the surface of which there is a 2D gas of mobile electrons. According to the results of the work [22], the quantized energy spectrum and normalized wave function in the one-particle approximation are given as follows:…”

Section: Energy Spectrum and Electron Wave Functionmentioning

confidence: 99%

“…Quasi-momentum h k corresponds to the motion of electrons on a cylinder surface along the Z-axis. The matrix element M n−n ,q⊥q Z for excitation energy (−e q q ) with scalar potential q of the electron-phonon interaction is defined by the expression [22]…”

Section: Energy Spectrum and Electron Wave Functionmentioning

confidence: 99%

Influence of the screening effect on polaron energy in a nanotube

Seyid-Rzayeva¹

2012

Phys. Scr.

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The influence of the screening effect of the electron–phonon interaction on weakly coupling Fröhlich polaron energy has been investigated in semiconducting nanotubes (NTs). General analytical expressions for the polaron energy have been obtained in arbitrary values of NT radius, taking into account screening as well as considering transitions between subbands of dimensional quantization. The dependence of the polaron energy for ground and excited states on NT radius has been represented on the basis of our numerical calculations. According to research carried out, it has been established that the screening contribution to polaron energy taking into account the virtual transitions from the ground state to subbands n=±1, ±2, ±3, as well as the transitions from the polaron excited state with n=1 to subbands n=−1, ±2, ±3, is significant for a=r0 /rp < 1 values, where r0 is the NT radius. For values of the parameter a≥ 1 the screening contribution to polaron energy decreases with increasing NT radius, but the decrease of binding energy of the polaron due to screening is still more than 50%.

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“…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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Polaron in the Single-Walled Polar Nanotube

Cited by 9 publications

References 10 publications

Effect of screening on the phonon-polaron states in diluted magnetic semiconductor nanotubes

Effect of screening on the phonon-polaron states in diluted magnetic semiconductor nanotubes

Influence of the screening effect on polaron energy in a nanotube

The Optical Polaron in a Slab-Like Confinement

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