The polaron effect on the binding energy of a shallow donor impurity in quantum-well wires in an electric field

Vartanian, Arshak L.; Yeranosyan, Mkrtich A.; Kirakosyan, A.A.

doi:10.1016/j.physe.2005.01.006

Cited by 16 publications

(6 citation statements)

References 30 publications

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“…In the recent times, the physical properties of low dimensional semiconductor nanostructures such as quantum dot (QD), quantum-well wire (QWW), quantum ring (QR), quantum rod (QRD) have been received considerable attention due to their novel physical properties and their appealing potential industrial applications [1][2][3][4][5][6]. Up to now, a great number of theoretical works have been done [7][8][9][10] because the studies on the electronical and optical properties in QRD are important in exploring new photo electric properties, transport properties and application properties.…”

Section: Introductionmentioning

confidence: 99%

Influences of RSO interaction and LO phonon effect on the spin polarization state energy of polaron in a quantum rod

Wang

2016

Indian J Phys

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On the basis of Lee-Low-Pines unitary transformation, the influences of Rashba spin-orbit (RSO) coupling energy and Zeeman splitting energy on the ground-state energy of polaron in a quantum rod (QRD) have been studied by using a variational method of Pekar type. Taking the RSO interaction and the Zeeman splitting into account, we derive the variational relations of the absolute ratios f 1 and f 2 of the RSO coupling energy and the Zeeman splitting energy to the ground-state energy of polaron with the transverse confinement radius (TCR) and the longitudinal confinement length (LCL) of QRD, as well as and the magnetic field adjusting length (MFAL). The results show that the absolute ratios f 1 and f 2 will increase when the TCR and the LCL become larger, but will slowly decrease while the MFAL and the aspect ratio of the ellipsoid d increase, respectively. The above results can be attributed to the spin effects and interesting quantum size confining.

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Section: Introductionmentioning

confidence: 99%

Influences of RSO interaction and LO phonon effect on the spin polarization state energy of polaron in a quantum rod

Wang

2016

Indian J Phys

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“…Polaron effects become more interesting in the presence of an external electric and magnetic fields [9][10][11][12][13][14][15]. By using the Lee, Low, and Pines variational method, the basic properties of the Fröhlich polaron in the QWR in the presence of an electric field have been performed, particularly, in [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…By using the Lee, Low, and Pines variational method, the basic properties of the Fröhlich polaron in the QWR in the presence of an electric field have been performed, particularly, in [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…Recently there have been a considerable number of theoretical studies on the electron-phonon effect on impurity energies in quantum wells, wires and dots in presence of electric and magnetic fields [16][17][18][19][20][21][22]. However, to our knowledge, it has not yet been considered the bound polaron problem in QWR in perpendicular magnetic and electric fields.…”

Section: Introductionmentioning

confidence: 99%

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Polaron effects on the binding energy of a hydrogenic impurity in parabolic quantum wires in perpendicular electric and magnetic fields

Vartanian

Yeranosyan

Vardanyan

et al. 2011

Superlattices and Microstructures

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“…In the framework of the EMA and using the Landau‐Pekar variational method, Vartanian et al 39, 40 have presented a study of the shallow donor impurity binding energy in a rectangular QWW in the presence of a uniform electric field by taking into account the electron–longitudinal optical (LO) phonon interaction. They have shown that the electron–LO phonon interaction may strongly influence the impurity binding energy in the presence of the electric field and that for narrow GaAs QWW, the contribution of electron–phonon interaction to the impurity binding energy may be up to 10%.…”

Section: Introductionmentioning

confidence: 99%

Shallow-donor impurity in coupled GaAs/Ga1−xAlxAs quantum well wires: hydrostatic pressure and applied electric field effects

Tangarife

Duque

2010

phys. stat. sol. (b)

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In this work we study the binding energy of the ground state for hydrogenic donor impurity in laterally coupled GaAs/ Ga 1Àx Al x As double quantum well wires, considering the effects of hydrostatic pressure and under the influence of a growthdirection applied electric field. We have used a variational method and the effective mass and parabolic band approximations. The low dimensional structure consists of two quantum well wires with rectangular transversal section coupled by a central Ga 1Àx Al x As barrier. In the study of the effect of hydrostatic pressure, we have considered the G -X crossover in the Ga 1Àx Al x As material, which is responsible for the reduction of the height of the confining potential barriers. Our results are reported for several sizes of the structure (transversal sections of the wires and barrier thickness), and we have taken into account variations of the impurity position along the growth-direction of the heterostructure, together with the influence of applied electric fields. The main findings can be summarized as: (i) for symmetric quantum-well wires (QWW) the binding energy is an even function of the growth-direction impurity position and this even symmetry breaks in the case of asymmetric structures; (ii) the coupling between the two parallel wires increases with the hydrostatic pressure due to the negative slope of the confinement potential as a function of pressure; (iii) for impurities in the central barrier the binding energy is an increasing function of the hydrostatic pressure; (iv) depending on the direction of the applied electric field and the fixed impurity position, the binding energy can behave as an increasing or decreasing step function of the applied electric field, and finally (v) for appropriate values of the wires and barrier widths the results reproduce the exact limits of 2D and 3D hydrogenic atom as well as the limits of finite and infinite potential barrier quantum wells.

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The polaron effect on the binding energy of a shallow donor impurity in quantum-well wires in an electric field

Cited by 16 publications

References 30 publications

Influences of RSO interaction and LO phonon effect on the spin polarization state energy of polaron in a quantum rod

Influences of RSO interaction and LO phonon effect on the spin polarization state energy of polaron in a quantum rod

Polaron effects on the binding energy of a hydrogenic impurity in parabolic quantum wires in perpendicular electric and magnetic fields

Shallow-donor impurity in coupled GaAs/Ga1−xAlxAs quantum well wires: hydrostatic pressure and applied electric field effects

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