Energy spectrum of the optical polaron at finite total momentum

Gerlach, B.; Kalina, F.

doi:10.1103/physrevb.60.10886

Cited by 11 publications

(24 citation statements)

References 28 publications

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“…[33,34]). It was only recently that two of the present authors [20] found a lower bound for the complete dispersion. As indicated in the introduction, the variational ansatz (10) can be generalized to contain amplitudes for arbitrary phonon number.…”

Section: A Variational Upper Bound Onmentioning

confidence: 91%

“…Recently, two of the present authors did provide a Q-dependent lower bound (see Ref. [20]). It will be discussed and used in Section 4.…”

mentioning

confidence: 88%

“…The corresponding set of equations was analyzed in Ref. [20], yielding the general structure (e.g. positivity) of the amplitudes and a lower bound for the dispersion.…”

Section: A Variational Upper Bound Onmentioning

confidence: 99%

“…1, whereas for D ¼ 3 the dispersion does meet the edge at a finite value of Q ¼ Q c , which depends on a (see Refs. [19][20][21]). Eða; QÞ is a real analytic function of a and Q below the continuum edge.…”

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confidence: 99%

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On the LO‐polaron dispersion in D dimensions

Gerlach¹,

Kalina

Smondyrev³

2003

Physica Status Solidi (b)

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We discuss the (LO)polaron dispersion for arbitrary spatial dimension D. Firstly, we review the existing literature; recent numerical work is critically analyzed. Secondly, we derive novel upper bounds for the dispersion, which incorporate the correct behaviour of the dispersion up to third order of the coupling constant a. A totally analytical evaluation is performed in the case D ¼ 1. We compare the upper bounds with previously published lower bounds. Apart from a surrounding of zero dispersion, the relative deviation is on a few-percent scale.

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Section: A Variational Upper Bound Onmentioning

confidence: 91%

“…Recently, two of the present authors did provide a Q-dependent lower bound (see Ref. [20]). It will be discussed and used in Section 4.…”

mentioning

confidence: 88%

“…The corresponding set of equations was analyzed in Ref. [20], yielding the general structure (e.g. positivity) of the amplitudes and a lower bound for the dispersion.…”

Section: A Variational Upper Bound Onmentioning

confidence: 99%

mentioning

confidence: 99%

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On the LO‐polaron dispersion in D dimensions

Gerlach¹,

Kalina

Smondyrev³

2003

Physica Status Solidi (b)

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“…To explain the optical properties of such nanoinclusions, we propose a bound polaron concept [8,9] which goes beyond the usual quantum-dot models. We consider the bound-polaron picture as basic requirement for the understanding of coherent properties while relaxation processes would be described here as a polaron decay.…”

mentioning

confidence: 99%

Exciton–phonon interaction in epitaxial CdSe/ZnSe nanostructures

Kapitonov

Woggon

Leonardi

et al. 2003

Physica Status Solidi (b)

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The low-temperature optical properties of submonolayer CdSe/ZnSe nanostructures have been investigated with nominal layer thickness of 0.15 ML and 0.58 ML CdSe. In photoluminescence excitation spectroscopy (PLE) we observe more than 10 equidistant peaks separated by the ZnSe LO-phonon energy even at energies high above the ZnSe-band edge. The peak heights and line shapes are extremely sensitive to the monolayer coverage, have strongly different intensities in emission and PLE and deviate from the Poissonian intensity distribution expected within the concept of a constant, material specific Huang-Rhys parameter S. A bound polaron model is proposed to explain the optical properties of quantum structures for which the approach of a pure electronic quantum confinement is not appropriate. Intrinsic coherence of joint exciton-phonon modes is very promising, e.g. for application in quantum information processing or coherent population transfer.1 Introduction Epitaxial techniques allow to grow high-quality semiconductors with extremely small structural elements. The concept of quantum confinement is a very effective tool for the description of self-assembled CdSe quantum dots grown by means of deposition of a few monolayers (ML) [1] or even submonolayers of guest material [2]. Further decrease of epitaxial coverage down to values of the order of 0.1 ML results in nanoobjects which comprise only a small number of atoms rather than 3D-islands. In such nanostructures coherent coupling with lattice vibrations can have even more significant effects on the energy states and coherent dynamics of localized eh-pairs compared to semiconductor quantum dots where excitonic polarons [3][4][5], non-adiabatic exciton-phonon interaction [6], enhanced phononassisted absorption [7], etc. are currently discussed.In this contribution we present experimental results on the optical properties of CdSe/ZnSe heterostructures with nominal thickness of CdSe equal to 0.15 ML and 0.58 ML. To explain the optical properties of such nanoinclusions, we propose a bound polaron concept [8,9] which goes beyond the usual quantum-dot models. We consider the bound-polaron picture as basic requirement for the understanding of coherent properties while relaxation processes would be described here as a polaron decay.

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