Polaronic enhancement in the ground-state energy of an electron bound to a Coulomb impurity in a parabolic quantum dot

Mukhopadhyay, Soma; Chatterjee, Ashok

doi:10.1103/physrevb.55.9279

Cited by 53 publications

(9 citation statements)

References 25 publications

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“…For example, within the framework of RSPT, Degani and Farias [21] have calculated the polaronic corrections to the self-energy and the effective mass of the electron confined in a parabolic QD. More recently Mukhopadhyay and Chatterjee [22][23][24] have derived an analytical expression for the second-order RSPT corrections to the polaron self-energy and obtained a scaling relation for the GS energy of an electron in a multidimensional QD. The multidimensional polaron problem introduced by Peeters, Wu, and Devreese [25] (PWD) has inspired a great deal of interests.…”

Section: Introductionmentioning

confidence: 99%

Temperature Dependence of Polaronic Correction to the Ground State Energy in a GaAs Parabolic Quantum Dot

2012

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Within the framework of second-order Rayleigh-Schrodinger perturbation theory (RSPT), the polaronic corrections to the ground state (GS) energy of an electron in both two-dimensional (2D) and three-dimensional (3D) parabolic quantum dots (QDs) are presented at finite temperature. We apply our calculations to GaAs. It is found that the polaronic corrections to the GS energy of an electron in both 2D and 3D QDs increase with temperature increasing and size of the QD decreasing. Furthermore, this trend is much more pronounced with dimensionality decreasing.

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Section: Introductionmentioning

confidence: 99%

Temperature Dependence of Polaronic Correction to the Ground State Energy in a GaAs Parabolic Quantum Dot

2012

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“…The generalized Kohn theorem together with magneto-optical experiments (Sikorski & Merkt, 1989;Karrai, Drew, Lee, & Shayengan, 1989) have proposed that the confinement potential in a QD is less or pretty much parabolic (Peeters, 1990;Yip, 1991;Li, Karrai, Yip, Sarma, & Drew, 1991). This has leads to a hot pace action in the field of QD's (Maksym & Chakraborty, 1990;Gu & Guo, 1993;Johnson & Payne, 1992;Mukhopadhyay & Chatterjee, 1996;Mukhopadhyay & Chatterjee, 1997). It has additionally understood that electron-electron interaction (e-e interaction) guides and controls the properties and the composition of QDs.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

Shukri¹,

Nammas²

2019

APR

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The thermal and magnetic properties of a parabolic GaAs quantum dot for two-Harmonically interacting electrons when it exposed to an external magnetic field, taking into account the spin-Zeeman energy are investigated using the canonical ensemble approach. The effect of spin on these properties is also investigated. With the possibility of a basic and physically sensible model of electron-electron interaction, the issue is precisely soluble. We found a Schottky-like anomaly in the heat capacity at low temperature, while it saturates to the 4kB value as the temperature increases. Also it is noted that entropy enhances with temperature as expected. However as a function of a magnetic field, a peak structure is observed in heat capacity at very low values of magnetic field, while it saturates to the 2kB value as magnetic field increases. Also we noticed that these peaks are not presented in the spinless case. Moreover magnetic field does not show a significant effect on the entropy at high temperatures, but at relatively lower temperatures, the entropy shows a monotonic increase with magnetic field. As a function of the Lande g* factor, we found a local minima and a double peak-structure in the susceptibility and in the heat capacity at g*=0. It is demonstrated that the favored state for both magnetization and susceptibility is the diamagnetic state. The significant effect of the spin on the magnetic properties of quantum dot is seen at low values of temperature and magnetic field. Moreover, our results showed a very good agreement with reported previous works.

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“…In the present work, we aim to study the effects of screened Coulomb impurities on the positions and lifetimes of such autoionizing resonances. The impact of charged impurities on the properties of quantum dots was addressed in connection with different confinment models, like a parabolic potential [9][10][11][12] or an infinite well 13 but also finite potentials [14][15][16][17][18] . Another interesting aspect is the behavior of quantum dots with impurities in external fields, which can give rise to effects like emergence of stable non-dispersive electron wave packets 19 , field-enhanced electron localization 20 or change of optical properties 21 .…”

Section: Introductionmentioning

confidence: 99%

Effects of screened Coulomb impurities on autoionizing two-electron resonances in spherical quantum dots

Genkin

Lindroth

2010

Phys. Rev. B

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In a recent paper (Phys. Rev. B 78, 075316 (2008)), Sajeev and Moiseyev demonstrated that the bound-to-resonant transitions and lifetimes of autoionizing states in spherical quantum dots can be controlled by varying the confinment strength. In the present paper, we report that such control can in some cases be compromised by the presence of Coulomb impurities. It is demonstrated that a screened Coulomb impurity placed in the vicinity of the dot center can lead to boundto-resonant transitions and to avoided crossings-like behavior when the screening of the impurity charge is varied. It is argued that these properties also can have impact on electron transport through quantum dot arrays.

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Polaronic enhancement in the ground-state energy of an electron bound to a Coulomb impurity in a parabolic quantum dot

Cited by 53 publications

References 25 publications

Temperature Dependence of Polaronic Correction to the Ground State Energy in a GaAs Parabolic Quantum Dot

Temperature Dependence of Polaronic Correction to the Ground State Energy in a GaAs Parabolic Quantum Dot

A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

Effects of screened Coulomb impurities on autoionizing two-electron resonances in spherical quantum dots

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