The grounds-state description of the optical polaron versus the effective dimensionality in quantum-well-type systems

Yıldırım, Tacettin; Erçelebi, A.

doi:10.1088/0953-8984/3/10/005

Cited by 54 publications

(32 citation statements)

References 6 publications

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“…In fact, a similar problem has been treated previously for a parabolic boundary potential providing a Q1D-tubular confinement where the free optical polaron properties have been derived as a function of the effective reduction in the dimensionality [10,12]. For completeness we review the same problem where now we refer to the case of an electron perfectly confined within a cylindrical boundary with infinite potential.…”

Section: Introductionmentioning

confidence: 94%

“…Since their early prediction [1] and subsequent fabrication [2][3][4][5], there has appeared quite a large interest in phonon-coupling-induced effects and polaronic properties of one-dimensionally confined electrons. Some considerable amount of the literature published within this context has been devoted to the interaction of electrons with bulk-like LO-phonons and the study of the relevant polaron properties [6][7][8][9][10][11][12][13]. The common prediction led by these works is that in quantum wires wherethe electrons are fundamentally quasi-one dimensional (QID) the polaronic binding is far deeper than in comparable quasi-two dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

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Strong coupling characterisation of quasi-1D polarons in cylindrical QW-wires

Erçelebi

Senger

1996

Solid State Communications

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We retrieve, within the strong-coupling theory, the quasi-one dimensional analog of the standard optical polaron relevant to a cylindrical quantum well wire. Under the assumption of perfect confinement the ground state binding energy, effective polaronic mass and the phononcoupling-induced potential well profiles are given as a function of the wire radius and the electron-phonon interaction strength.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Strong coupling characterisation of quasi-1D polarons in cylindrical QW-wires

Erçelebi

Senger

1996

Solid State Communications

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“…Supposing that the Gaussian function approximation is valid in the ground-state of electronphonon system by variational method of Pekar type to be [10] …”

Section: Theoretical Modelmentioning

confidence: 99%

“…Similarly, the trial wave-function of electron-phonon system in the first-excited state may be chosen as [10] …”

Section: Theoretical Modelmentioning

confidence: 99%

Quantum Transition of Two-Level System in a Parabolic Quantum Dot

Yin

et al. 2009

Int J Theor Phys

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The time evolution of the quantum mechanical state of an electron is calculated by using variational method of Pekar type on the condition of electric-LO phonon strong coupling in a parabolic quantum dot. We obtained the eigen energies of the ground state and the first-excited state, the eigen functions of the ground state and the first-excited state this system in a quantum dot may be employed as a two-level quantum system-qubit. The supposition electron is in system's ground state in the initial time, the electron transit from the ground state to the excited state in presence of an electric field F along the x axis. The results indicate that the electron transition probability and the oscillation period increase with decreasing the electron-LO-phonon coupling constant, increasing the electric field and the confinement length.

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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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The grounds-state description of the optical polaron versus the effective dimensionality in quantum-well-type systems

Cited by 54 publications

References 6 publications

Strong coupling characterisation of quasi-1D polarons in cylindrical QW-wires

Strong coupling characterisation of quasi-1D polarons in cylindrical QW-wires

Quantum Transition of Two-Level System in a Parabolic Quantum Dot

Polaron in a quasi 1D cylindrical quantum wire

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