Raman study of a hydrogenic impurity in a three-dimensional anisotropic quantum dot

The effect of the electron–phonon interaction on an electron bound to a hydrogenic impurity in a three-dimensional (3D) anisotropic quantum dot (QD) is studied theoretically. We use the Landau–Pekar variational approach to calculate the binding energy of ground state (GS) and first-excited state (ES) with considering electron–phonon interaction. The expressions of the GS and ES energies under investigation depict a rich variety of dependent relationship with the variational parameters in three different limiting cases. Numerical calculations were performed for ZnSe QDs with different confinement lengths in the xy-plane and the z-direction, respectively. It is illustrated that binding energies of impurity polarons corresponding to each level are larger in small QDs. Furthermore, the contribution to binding energy from phonon is about 15% of the total binding energy.

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First-excited-state energy of hydrogenic impurity bound polaron in an anisotropic quantum dot in an electric field

International Journal of Modern Physics B ◽

10.1142/s0217979219503867 ◽

2019 ◽

Vol 33 (32) ◽

pp. 1950386

Author(s):

Shi-Hua Chen

Keyword(s):

Excited State ◽

Binding Energy ◽

Quantum Dot ◽

Electric Field ◽

Binding Energies ◽

Hydrogenic Impurity ◽

Bound Polaron ◽

First Excited State ◽

Trial Wavefunction ◽

Anisotropic Quantum Dot

The first-excited-state (ES) binding energy of hydrogenic impurity bound polaron in an anisotropic quantum dot (QD) is obtained by constructing a variational wavefunction under the action of a uniform external electric field. As for a comparison, the ground-state (GS) binding energy of the system is also included. We apply numerical calculations to KBr QD with stronger electron–phonon (E–P) interaction in which the new variational wavefunction is adopted. We analyzed specifically the effects of electric field and the effects of both the position of the impurity and confinement lengths in the xy-plane and the [Formula: see text] direction on the ground and the first-ES binding energies (BEs). The results show that the selected trial wavefunction in the ES is appropriate and effective for the current research system.

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Berry phase for a three-dimensional anisotropic quantum dot

Physics Letters A ◽

10.1016/j.physleta.2004.12.002 ◽

2005 ◽

Vol 335 (1) ◽

pp. 1-10 ◽

Cited By ~ 4

Author(s):

V.A. Geyler ◽

A.V. Shorokhov

Keyword(s):

Quantum Dot ◽

Berry Phase ◽

Three Dimensional ◽

Anisotropic Quantum Dot

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Nonlinear optical properties of a three-dimensional anisotropic quantum dot

Solid State Communications ◽

10.1016/j.ssc.2011.11.020 ◽

2012 ◽

Vol 152 (4) ◽

pp. 314-319 ◽

Cited By ~ 19

Author(s):

Tairong Chen ◽

Wenfang Xie

Keyword(s):

Optical Properties ◽

Quantum Dot ◽

Nonlinear Optical ◽

Three Dimensional ◽

Nonlinear Optical Properties ◽

Anisotropic Quantum Dot

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Polaronic Correction to the Ground State Energy and Effective Mass in a Two- and Three-Dimensional Quantum Dot

Journal of Low Temperature Physics ◽

10.1007/s10909-010-0236-x ◽

2010 ◽

Vol 162 (1-2) ◽

pp. 34-39 ◽

Cited By ~ 8

Author(s):

Qing-Zhou Yao ◽

Shi-Hua Chen

Keyword(s):

Quantum Dot ◽

Effective Mass ◽

Ground State Energy ◽

Ground State ◽

State Energy ◽

Three Dimensional

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Electric field effect on the Raman scattering of a hydrogenic impurity in spherical quantum dot

Current Applied Physics ◽

10.1016/j.cap.2011.03.063 ◽

2011 ◽

Vol 11 (6) ◽

pp. 1302-1306 ◽

Cited By ~ 6

Author(s):

Liangliang Lu ◽

Wenfang Xie ◽

Shijun Liang

Keyword(s):

Quantum Dot ◽

Electric Field ◽

Raman Scattering ◽

Field Effect ◽

Electric Field Effect ◽

Hydrogenic Impurity ◽

Spherical Quantum Dot

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Three dimensional confinement in inverted quantum dot nanopore lasers

2012 17th Opto-Electronics and Communications Conference ◽

10.1109/oecc.2012.6276453 ◽

2012 ◽

Author(s):

J. J. Coleman ◽

N. L. Dias ◽

V. B. Verma ◽

V. C. Elarde

Keyword(s):

Quantum Dot ◽

Three Dimensional

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Electron Raman scattering of a donor in a two-dimensional anisotropic quantum dot

Superlattices and Microstructures ◽

10.1016/j.spmi.2013.05.030 ◽

2013 ◽

Vol 60 ◽

pp. 533-539 ◽

Cited By ~ 2

Author(s):

Wenfang Xie

Keyword(s):

Quantum Dot ◽

Raman Scattering ◽

Two Dimensional ◽

Anisotropic Quantum Dot

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VIBRATIONAL FREQUENCY OF IMPURITY BOUND MAGNETOPOLARON IN AN ANISOTROPIC QUANTUM DOT

Modern Physics Letters B ◽

10.1142/s0217984909020618 ◽

2009 ◽

Vol 23 (20n21) ◽

pp. 2449-2456 ◽

Cited By ~ 2

Author(s):

WEI XIAO ◽

JING-LIN XIAO

Keyword(s):

Quantum Dot ◽

Interaction Energy ◽

Coupling Strength ◽

Vibrational Frequency ◽

Cyclotron Frequency ◽

Operator Method ◽

Phonon Coupling ◽

Electron Phonon Coupling ◽

Anisotropic Quantum Dot ◽

Bound Magnetopolaron

We study the vibrational frequency and the interaction energy of the weak-coupling impurity bound magnetopolaron in an anisotropic quantum dot. The effects of the transverse and longitudinal effective confinement lengths, the electron–phonon coupling strength, the cyclotron frequency of a magnetic field and the Coulomb bound potential are taken into consideration by using an improved linear combination operator method. It is found that the vibrational frequency and the interaction energy will increase rapidly with decreasing confinement lengths and increasing the cyclotron frequency. The vibrational frequency is an increasing function of the Coulomb bound potential, whereas the interaction energy is an decreasing one of the potential and the electron–phonon coupling strength.

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