Hartree-Fock approximation of bipolaron state in quantum dots and wires

Senger, R. T.; Kozal, B.; Chatterjee, Ashok; Erçelebi, A.

doi:10.1140/epjb/e2010-10517-x

Cited by 12 publications

(9 citation statements)

References 14 publications

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“…Hitherto, many theoretical studies have been done on QDs by considering the infinitely deep rectangular well . In addition, several investigations have been performed on QD's using the parabolic potential …”

Section: Introductionmentioning

confidence: 99%

Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

Khordad

Vaseghi

2019

Int J of Quantum Chemistry

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In this work, we study three-electron magnetic susceptibility in quantum dots under Rashba spin-orbit interaction (SOI) and magnetic field by an analytical methodology.The Hamiltonian of the system is separated to center of mass and relative terms using the Jacobi transformations and the hyperspherical coordinates. By solving Schrodinger equation, energy levels and thereby the susceptibility are calculated using canonical ensemble. At zero temperature, the magnetization reduces with increasing magnetic field with and without Rashba SOI in three-electron-quantum dot without electron-electron (e-e) interaction. Also, SOI slightly changes the magnetization for three-electron-quantum dot without e-e interaction. At nonzero temperature, the magnetization shows a paramagnetic peak when the magnetic field increases. This peak position changes under the SOI. In the presence of e-e interaction, the susceptibility enhances with raising magnetic field and it shows a maximum.The susceptibility at low magnetic field is negative and then it becomes positive.The susceptibility with e-e interaction and without SOI is always diamagnetic and its magnitude reduces with enhancing magnetic field. The susceptibility shows a transition between diamagnetic and paramagnetic with e-e interaction and SOI. K E Y W O R D Selectron-electron interaction, magnetization, quantum dot, Rashba spin-orbit interaction

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Section: Introductionmentioning

confidence: 99%

Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

Khordad

Vaseghi

2019

Int J of Quantum Chemistry

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“…is the distance between centers of polarons gravity [1,9], while the vector r i is associated with oscillat ion motion of electron in polarizat ion potential well near R i . The two-electron wave function of the electronic excited state, approximating the eigenfunction 1 2 ( , ) r r χ should be antisymmetric with respect to the transposition of both electrons orthogonal to the ground state.…”

Section: Basic Equations and Mathematical Methodsmentioning

confidence: 99%

“…As is well known [2], optical excitation of a polaron Franck-Condon transition occurs between the electronic 1s and , 2 z x iy p ± -states, the oscillator strength is ~ 0.9. At the same t ime the possible existence of singlet axially-symmetrical b ipolarons has been widely d iscussed [3][4][5][6][7][8][9][10]. The most probable dipole-actives the optical t ransition for ground state of Landau-Pekar bipolaron will be 1 1 2 (1 )…”

Section: Introductionmentioning

confidence: 99%

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On the Possibility of Landau-Pekar Triplet Bipolaron Existance

Mukhomorov¹

2012

AJCMP

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A theoretical analysis of a homogeneous magnetic field the action on the electronic terms of the bipolaron in the triplet 3 ,2 z x iy P ± state is made. It is shown that the action of the magnetic field, on the one hand, leads to displacement of the triplet terms to the low-energy region and thus to stabilization of the bipolaron and, on the other hand, appreciable weakens the criteria that limit the conditions of their existence. It is shown that the inclusion of electron-electron correlat ion leads to the stabilization of the triplet b ipolaron, as well as to expand the boundaries of his existence.

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“…In many available publications in which authors use alternative analytical methods for solving the bipolaron problem [42][43][44][45][46][47][48][49][50] it was established that a large bipolaron in the ground singlet state is an axially symmetrical two-center formation. The authors of the papers [42][43][44] likewise arrived at similar conclusions by analyzing the distance dependence of the bipolaron ground state using the Feynman path integral method.…”

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confidence: 99%

Landau-Pekar Bipolaron in Singlet and Triplet States

Mukhomorov

2014

Review of Advances in Physics Theories and Applications

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We give an overview of studies a bipolaron stability by variational method. For bipolaron formations, a relation is established between the variational principle and the virial theorem optimizing the electronic wave functions. We present a large number of qualitative and quantitative arguments, which indicate that the Landau-Pekar bipolaron is an axially-symmetrical formation. Much attention is paid to the analysis of the influence of the Coulomb electron-electron correlations on the stability of a large bipolaron. In detail we analyzed the criteria for determining the optimal wave functions. It is established that a step-by-step increase in the flexibility of the electronic wave function due to the electron correlations does not stabilize a one-center bipolaron. We show after into account of electron-electron correlations a singlet bipolaron retains spatial axially-symmetrical. At the same time, the electron-excited triplet states of Landau-Pekar bipolaron have spherical symmetry. The results of Kasirina and Lakhno are based on the one-center bipolaron model are incorrect. Presented evidence that the correct application of the variational method and correct account of electron-electron correlations only increase the binding energy of the bipolaron but symmetry of Hartree-Fock approximation can not change. We adduce proofs which point to methodological errors of one-center bipolaron model as well as arising from their calculations incorrect physical consequences. As illustrated in this review the axially symmetric Landau-Pekar bipolaron can correctly interpret the experimentally detected spectroscopic data.

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Hartree-Fock approximation of bipolaron state in quantum dots and wires

Cited by 12 publications

References 14 publications

Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

Magnetic properties in three electrons under Rashba spin‐orbit interaction and magnetic field

On the Possibility of Landau-Pekar Triplet Bipolaron Existance

Landau-Pekar Bipolaron in Singlet and Triplet States

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