Energy dependence of the electron-phonon coupling in a thin-layer GaAs/AlAs superlattice

Vv, Gridin; Beserman, R.; Morkoç, H.

doi:10.1103/physrevb.37.9061

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…In correspondence with their interface character their angular dispersion is in good agreement with those for the macroscopic interface phonons according to relation (9). With rising extent of the superlattice elementary cell the number of microscopic N = 2,4, 7).…”

Section: Discussionsupporting

confidence: 73%

“…For clarity only p-polarized symmetrical A1As-like modes which possess the highest frequencies are displayed to characterize the results of the microscopic theory. Their dispersion relations are compared with the frequencies WLOb and m T O b of the confinedLOn and TOnphonons and those of the interface phonons according to (9). I n the N = 2 case there are only the microscopic LO1 and TO1 modes.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Relationship of Microscopic and Macroscopic Theories for Long‐Wavelength Optical Phonons in GaAs‐AlAs Superlattices

Bechstedt

Gerecke

1989

Physica Status Solidi (b)

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A critical comparison is made of the lattice-vibrational properties resulting within the macroscopic continuum model and a closely parallel microscopic force-constant model. The elastic and electric forces are treated in the same manner. However, the atomic structure of matter and the bulk phonon dispersion are neglected in the continuum approach. For that reason it cannot explain the optical frequency spectrum of a superlattice even not in the long-wavelength limit. On the other hand, the principal line shape of the atomic displacement patterns for optical phonons can be satisfactorily described by envelopes, at least, if the arbitrariness inherent any theory neglecting dispersion is utilized in an appropriate way. This holds particularly for modes which are not accompanied by long-range electric fields. For the other modes -the p-polarized symmetrical phonons propagating not parallel to the superlattice axis -the problem of identification appears additionally since the interface character restricted t o four modes in the dispersionless continuum approach is distributed among all symmetrical phonons within the microscopic theory.Es wird ein kritischer Vergleich der Gitterschwingungseigenschaften, wie sie aus dem makroskopischen Kontinuumsmodell bzw. einem parallelen mikroskopischen Kraftkonstantenmodell resultieren, durchgefuhrt. Die elastischen und elektrischen Kriifte werden gleich behandelt, die Dispersion der Volumenphononen aber in der Kontinuumsnlherung vernachliissigt. Deswegen kann diese auch nicht im langwelligen Grenzfall das optische Phononenspektrum eines Supergitters erkliiren. Andererseits kann im Rahmen der Kontinuumsapproximation die Linienform der atomaren Auslenkungen in befriedigender Weise durch Einhiillende beschrieben werden, zumindestens wenn mit der Unbestimmtheit, die jeder dispersionsfreien Theorie inhirent ist, geeignet umgegangen wird. Diese Aussage gilt besonders fur die Moden, die nicht von langreichweitigen elektrischen Feldern begleitet werden. Fur die anderen Moden -die p-polarisierten symmetrischen Phononen, die sich nicht parallel eur Supergitterachse ausbreiten -taucht zusiitzlich das Problem der wechselseitigen Identifizierung auf, da der Grenzfliichencharakter, der in der dispersionsfreien Kontinuumsniiherung auf vier Moden beschriinkt ist, in der mikroskopischen Theorie auf alle symmetrischen Phononen verteilt wird.

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Section: Discussionsupporting

confidence: 73%

Section: Discussionmentioning

confidence: 99%

Relationship of Microscopic and Macroscopic Theories for Long‐Wavelength Optical Phonons in GaAs‐AlAs Superlattices

Bechstedt

Gerecke

1989

Physica Status Solidi (b)

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“…It is well known that the electron-optical phonon interactions (EOPIs) in semiconductor heterostructures play a dominant role in determining various electronic properties including mobility, tunnelling and the scattering rate which are much important for device applications. On the basis of the dielectric continuum approach [1], many researchers explored the behaviour and properties of the optical phonon, EOPI in various layered structures such as ionic slab [1], quantum well [2][3][4][5][6][7][8], quantum dot [9], quantum cable [10] and superlattice (SL) [11][12][13][14]. Additionally, the influences of the concentration on the optical and electronic properties and EOPI in quantum wells consisting of a ternary mixed crystal are also studied in detail [15].…”

Section: Introductionmentioning

confidence: 99%

A surface optical phonon assisted transition in a semi-infinite superlattice with a cap layer

Wang

Huang

et al. 2006

Semicond. Sci. Technol.

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Using the transfer matrix method and Fermi's golden rule, we calculate the intersubband transition rates between surface electronic states due to different surface optical phonon modes (SOPMs) for a semi-infinite superlattice (SL) with a cap layer in the dielectric continuum approximation. The influence of various structural configurations on surface electron-phonon scattering is given in detail. The calculated results show that the surface electron-phonon scattering rates are markedly influenced by the magnitude of the in-plane electronic wave vector k and have a complicated dependence on the constituent layers of the SL, the substrate as well as the cap layer. It is found that the magnitude of in-gap electron transition rates essentially depends on the attenuation length of the localized electronic states and SOPMs.

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The correspondence between the dependence of LO phonon frequencies and intensities on the laser energy in a Ga superlattice

Gridin

Beserman

Morkoç̌

1989

Superlattices and Microstructures

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Energy dependence of the electron-phonon coupling in a thin-layer GaAs/AlAs superlattice

Cited by 5 publications

References 12 publications

Relationship of Microscopic and Macroscopic Theories for Long‐Wavelength Optical Phonons in GaAs‐AlAs Superlattices

Relationship of Microscopic and Macroscopic Theories for Long‐Wavelength Optical Phonons in GaAs‐AlAs Superlattices

A surface optical phonon assisted transition in a semi-infinite superlattice with a cap layer

The correspondence between the dependence of LO phonon frequencies and intensities on the laser energy in a Ga superlattice

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