Bipolarons in Anisotropic Crystals

Kashirina, N. I.; Mozdor, E. V.; Pashitskij, E. A.; Sheka, V. I.

doi:10.1142/9789812385352_0009

Cited by 3 publications

(10 citation statements)

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“…In going to a one-center bipolaron at a 1i ¼ a 3i the WF (13) is equivalent (with an accuracy of the notation of variational parameters) to the WF used in [5] for a onecenter bipolaron and in the limit case of the absence of anisotropy it coincides with the wave function suggested in [6] for the calculation of the energy of a one-center bipolaron in anisotropic crystals.…”

Section: Main Formulae and Relationsmentioning

confidence: 97%

“…In terms of a spatial configuration, a one-center is analogous to a helium atom, while a two-center bipolaron is an analog of a hydrogen molecule. Subsequently the results of [2] were repeatedly reproduced for both Slater and Gaussian functions [1,[5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…For a two-center bipolaron the probe WF was chosen [4] as a symmetrized product of one-electron WFs. For a one-center bipolaron correlation effects were taken into account by introducing a term depending on the difference in the electron coordinates [2,5,6] (in what follows this particular type of correlation effects will be referred to as electron correlations).…”

Section: Introductionmentioning

confidence: 99%

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Electron Correlations and Spatial Configuration of the Bipolaron

Kashirina

Лахно

Sychyov

2002

phys. stat. sol. (b)

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Bipolaron energy is calculated for various distances between the centers of polarization wells of two polarons with accounting the electron correlations. A singlet bipolaron is stable at a rather high energy of ion binding h h m % 0:143, h ¼ e 1 =e 0 (e 1 and e 0 are the high-frequency and static dielectric constants, respectively). The unique energy minimum corresponds to a one-center bipolaron (analog of a helium atom). The bipolaron binding energy constitutes up to 25.8 % of a double polaron energy at h ! 0. A triplet bipolaron (analog of ortho-helium) is energetically disadvantageous. The one-center configuration of a triplet bipolaron corresponds to a maximum on the distance dependence of the total energy J Bp ðRÞ. The exchange interaction between polarons has antiferromagnetic character. A prediction is made about a possibility of Wigner crystallization of a polaron gas, which occurs with antiferromagnetic ordering in the polaron system.

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Section: Main Formulae and Relationsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electron Correlations and Spatial Configuration of the Bipolaron

Kashirina

Лахно

Sychyov

2002

phys. stat. sol. (b)

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“…In terms of spatial configuration, the one-center bipolaron is analogous to a helium atom, while the two-center one is an analog of a hydrogen molecule. Subsequently, the results of [2] were repeatedly reproduced for both Slater and Gaussian functions [1,[5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…For the two-center bipolaron the probe WF was chosen [4] as a symmetrized product of one-electron WFs. For a one-center bipolaron correlation effects were taken into account by introducing a term depending on the difference in electron coordinates [2,5,6] (in what follows, this particular type of correlation effects will be referred to as electron correlations).…”

Section: Introductionmentioning

confidence: 99%

Investigation of electron correlation effect on energy spectrum of two-electron systems in crystals with strong electron-phonon coupling

Kashirina¹

2002

Semicond. Phys. Quantum Electron. Optoelectron.

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The influence of electron correlations (direct dependence of electronic wave function on distance between electrons) on energy spectra of two-electron systems (D , F ′, F 2-centers and bipolarons) in polar crystals with strong electron-phonon interaction is investigated. Bipolaron is chosen as the simplest model of two-electron system in the crystal. Bipolaron energy is calculated for various distances between the centers of polarization wells of two polarons with accounting the electron correlations. A singlet bipolaron is stable at rather high energy of ion binding η ≤η m ≈ 0,143 (0 /ε ε η ∞ =). The unique energy minimum corresponds to a one-center bipolaron (an analog of a helium atom). The bipolaron binding energy constitutes up to 25.8% of a double polaron energy at η → 0. A triplet bipolaron (an analog of orthohelium) is energetically disadvantageous. The one-center configuration of a triplet bipolaron corresponds to a maximum on the distance dependence of the total energy J Bp (R). The exchange interaction between polarons has antiferromagnetic character. A prediction is made about a possibility of the Wigner crystallization of a polaron gas, which occurs with antiferromagnetic ordering in the polaron system. The examples of energy calculations with accounting the electron correlations of exchanged-coupled pairs, D and F ′-centers in polar crystals are also given.

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A bipolaron in a spherical quantum dot with parabolic confinement

Pokatilov

Fomin

Devreese

et al. 1999

J. Phys.: Condens. Matter

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A theory of bipolaron states in a spherical parabolic potential well is developed applying the Feynman variational principle. The basic parameters of the bipolaron ground state (the binding energy, the number of phonons in the bipolaron cloud, and the bipolaron radius) are studied as functions of the radius R of the potential well. Analytical expressions for bipolaron parameters are obtained at large and small sizes of the quantum well. It is shown that at R>>1 (where R is expressed in units of the polaron radius), the influence of confinement on the bipolaron binding energy W(R) is described by the function ~1/R2, while at small sizes this influence is more complicated: W(R) passes through a maximum in the region R<1.

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Bipolarons in Anisotropic Crystals

Cited by 3 publications

References 0 publications

Electron Correlations and Spatial Configuration of the Bipolaron

Electron Correlations and Spatial Configuration of the Bipolaron

Investigation of electron correlation effect on energy spectrum of two-electron systems in crystals with strong electron-phonon coupling

A bipolaron in a spherical quantum dot with parabolic confinement

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