Energy levels of bound polarons

Devreese, Jozef T.; Evrard, R.; Kartheuser, E.; Brosens, F.

doi:10.1016/0038-1098(82)90026-6

Cited by 54 publications

(23 citation statements)

References 8 publications

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“…The contribution of the interface-type phonons to the polaron energy is very much smaller than the contribution of the bulk-type phonon [19]. Bulk-type phonons play the dominant role in the polaron energy shift [38][39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 96%

Polaron in a quasi 1D cylindrical quantum wire

Fai¹,

Teboul²,

Monteil³

et al. 2005

Condens. Matter Phys.

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Polaron states in a quasi 1D cylindrical quantum wire with a parabolic confinement potential are investigated applying the Feynman variational principle. The effect of the wire radius on the polaron ground state energy level, the mass and the Fröhlich electron-phonon-coupling constant are obtained for the case of a quasi 1D cylindrical quantum wire. The effect of anisotropy of the structure on the polaron ground state energy level and the mass are also investigated.It is observed that as the wire radius tends to zero, the polaron mass and energy diverge logarithmically. The polaron mass and energy differ from the canonical strong-coupling behavior by the Fröhlich electron-phonon coupling constant and the radius of the quasi 1D cylindrical quantum wire that are expressed through a logarithmic function. Moreover, it is observed that the polaron energy and mass for strong coupling for the case of the quasi 1D cylindrical quantum wire are greater than those for bulk crystals. It is also observed that the anisotropy of the structure considerably affects both the polaron ground state energy level and the mass. It is found that as the radius of the cylindrical wire reduces, the regimes of the weak and intermediate coupling polaron shorten while the region of the strong coupling polaron broadens and extends into those of the weak and intermediate ones.Analytic expressions for the polaron ground state energy level and mass are derived for the case of strong coupling polarons.

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Section: Introductionmentioning

confidence: 96%

Polaron in a quasi 1D cylindrical quantum wire

Fai¹,

Teboul²,

Monteil³

et al. 2005

Condens. Matter Phys.

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“…In the following it is referred to the surface polaron problem considering the case where the electron is outside the medium and the effect of an external magnetic field using the variational method of Devreese et al [11] is studied. The procedure is a combination between the adiabatic approximation and the first order perturbation method by adopting a variational trial function by which it is possible to extrapolate from the strong coupling regime toward the weak coupling one.…”

Section: Introductionmentioning

confidence: 99%

A Variational Approach for an Electron Interacting with an Impenetrable Dielectric Surface under the Effect of an External Magnetic Field

Saqqa

2011

Acta Phys. Pol. A

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Using a variational approach, the interaction of an extrinsic electron with the surface modes of a semi-infinite medium is studied under the effect of an external magnetic field. The approach is to be valid for all values of the electron-surface-phonon coupling. In addition to the ground state energy, the number of phonons around the electron, and the spatial localization of the electron perpendicular and parallel to the surface are studied. It is observed that the magnetic field enhances the effective electron-phonon coupling and thus leads to an increased degree of localization of the electron toward the surface.

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“…The approach, developed by Devreese et al [9], consists in two stages. First, the unitary transformation is performed…”

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confidence: 99%

“…Averaging the transformed Hamiltonian of the phonon subsystem on the trial function (9) gives the energy of the polarization field in a polaron bound to an impurity:…”

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confidence: 99%

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Theory of bound polarons in oxide compounds

et al. 2001

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We present a multilateral theoretical study of bound polarons in oxide compounds MgO and α-Al 2 O 3 (corundum). A continuum theory at arbitrary electron-phonon coupling is used for calculation of the energies of thermal dissociation, photoionization (optically induced release of an electron (hole) from the ground self-consistent state), as well as optical absorption to the nonrelaxed excited states. Unlike the case of free strong-coupling polarons, where the ratio κ of the photoionization energy to the thermal dissociation energy was shown to be always equal to 3, here this ratio depends on the Fröhlich coupling constant α and the screened Coulomb interaction strength β. Reasonable variation of these two parameters has demonstrated that the magnitude of κ remains usually in the narrow interval from 1 to 2.5. This is in agreement with atomistic calculations and experimental data for hole O − polarons bound to the cation vacancy in MgO. The thermal dissociation energy for the ground self-consistent state and the energy of the optically induced charge transfer process (hops of a hole between O 2− ions) have been calculated using the quantum-chemical method INDO. Results obtained within the two approaches for hole O − polarons bound by the cation vacancies (V − ) in MgO and by the Mg 2+ impurity (V M g ) in corundum are compared to experimental data and to each other. We discuss a surprising closeness of the results obtained on the basis of independent models and their agreement with experiment.

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Energy levels of bound polarons

Cited by 54 publications

References 8 publications

Polaron in a quasi 1D cylindrical quantum wire

Polaron in a quasi 1D cylindrical quantum wire

A Variational Approach for an Electron Interacting with an Impenetrable Dielectric Surface under the Effect of an External Magnetic Field

Theory of bound polarons in oxide compounds

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