Interaction of optical phonons with electrons in GaAs quantum wires

Degani, Marcos H.; Hipólito, Oscar

doi:10.1016/0038-1098(88)90919-2

Cited by 57 publications

(19 citation statements)

References 13 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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“…[17,[21][22][23][24][25][26][27][28]). Degani and Hipólito [21] have calculated the polaron self-energy (PSE) and the effective mass (PEM) in the GaAs/GaAlAs QWR using a variational approach which is based on the canonical transformation method of Lee, Low and Pines (LLP) [29]. It has shown that the PEM is dramatically dependent on the wire sizes and also larger than its values in corresponding two-and three-dimensional structures.…”

Section: Introductionmentioning

confidence: 99%

The influence of electric field on the interface polaron properties in a wurtzite nitride nanowire

Asatryan

Vardanyan

Vartanian

2015

Superlattices and Microstructures

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“…Some considerable amount of the literature published within this context has been devoted to the interaction of electrons with bulk LO phonons and the study of the relevant polaron properties. [5][6][7][8][9][10][11][12] The common prediction led by these works is that, in quantum wires where the electrons are fundamentally quasi-onedimensional ͑Q1D͒, the polaronic binding is far much deeper than in two dimensionally confined quantum well systems. Alternatively stating, high degrees of confinement ͑as realized in thin wires͒ lead to a pseudoenhancement in the effective electron-phonon coupling, which in turn brings about the possibility that, in spite of weak polar coupling as in GaAs, for instance, the polaron problem may show up as a strongcoupling aspect coming from confinement effects.…”

Section: Introductionmentioning

confidence: 99%

Ground-state description of quasi-one-dimensional polarons with arbitrary electron-phonon coupling strength

Erçelebi

Senger

1996

Phys. Rev. B

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We consider the interaction of a confined electron with bulk polar-optical phonons in a cylindrical quantum well wire with infinite boundary potential. Expressions for the polaron self-energy and mass are derived within a variational scheme over reasonably broad ranges of the wire radius and the phonon-coupling strength. The formulation is based on the standard canonical transformation of the strong-coupling ansatz and consists of a variationally determined perturbative extension serving for the theory to interpolate in the overall range of the coupling constant. Contrary to the general trend that the electron-phonon interaction is inherently stronger in systems of lower dimensionality, our results indicate that, at weak coupling, the binding energy of the polaron can be smaller and its mass less inertial compared with the bulk case when the wire is made narrow.

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Interaction of optical phonons with electrons in GaAs quantum wires

Cited by 57 publications

References 13 publications

Polaron in a quasi 1D cylindrical quantum wire

Polaron in a quasi 1D cylindrical quantum wire

The influence of electric field on the interface polaron properties in a wurtzite nitride nanowire

Ground-state description of quasi-one-dimensional polarons with arbitrary electron-phonon coupling strength

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