Interaction Hamiltonian between an electron and polar surface vibrations in a symmetrical three-layer structure

Pokatilov, E. P.; Фомин, В. М.; Semenovskaya, N. N.; Beril, S. I.

doi:10.1103/physrevb.47.16597

Cited by 13 publications

(11 citation statements)

References 11 publications

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“…Furthermore, we consider quantum wells of much larger thickness than the lattice constant. As a consequence, we neglect interface phonon modes, whose amplitude decreases exponentially away from the interface [28,29]. The phonon dispersion is also neglected because we consider only phonons with small in-plane wave vectors.…”

Section: Interaction Between Phonons and Intersubband Excitationsmentioning

confidence: 99%

Quantum Theory of Multisubband Plasmon– Phonon Coupling

et al. 2020

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We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and Fröhlich interactions, we observe the formation of multisubband polarons, mixed states partially phonon and partially multisubband plasmon, characterized by a coupling energy which is a significant fraction, up to ∼ 40%, of the phonon energy. We demonstrate that multisubband plasmons and longitudinal optical phonons are in the ultra-strong coupling regime in several III-V and II-VI material systems.

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Section: Interaction Between Phonons and Intersubband Excitationsmentioning

confidence: 99%

Quantum Theory of Multisubband Plasmon– Phonon Coupling

et al. 2020

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“…The first term in (7) corresponds to the influence of all layers on the potential in the n-th one, whereas the second part describes intralayer potential modulation transfer. The functions F,"(z) are solutions of the Laplace equation having definite symmetry,…”

Section: Equations Of Motion For the Inertial Polarization Vectormentioning

confidence: 99%

“…It was shown that the spectrum of polar vibrations consists of surface modes and transverse and longitudinal bulk-like ones, called "the slab modes". In the following a great number of works appeared being performed within this model for various structures: the slab in vacuum [2,31, the two-layer slab in vacuum [4], multilayer structures of arbitrary number of layers [5], three-layer symmetrical structures with external layers of infinite [6] and finite thickness [7], and superlattices [5, 8, 91. In these works polar eigenmodes were investigated and the Hamiltonians of the electron-phonon interaction were deduced.…”

Section: Introductionmentioning

confidence: 99%

Polaronic Hamiltonian and Polar Optical Vibrations in Multilayer Structures

Klimin¹,

Pokatilov²,

Фомин³

1995

Physica Status Solidi (b)

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A theory of polar optical vibrations in multilayer semiconductor structures is developed taking into account phonon dispersion. A method of diagonalization of the equations of motion for inertial polarization vectors in the finite basis is used, that is founded on a finite number of degrees of freedom of the system. The Hamiltonian of the electron--phonon interaction is deduced. The dispersion law and the spatial dependence of the obtained eigenmodes are in good agreement with experimental data and microscopic models. It is shown that the electron scattering rate in a magnetic field depends on the chosen model of polar optical vibrations.

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Section: Introductionmentioning

confidence: 99%

“…Spatial confinement of acoustic and optical phonons in semiconductor thin films, superlattices and nanowires changes their properties in comparison with bulk materials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Phonon confinement in nanostructures leads to emergence of the quantized energy subbands with corresponding modification of the phonon density of states [1][2][3][4][10][11][12][13][14][15]. The changes in the phonon dispersion give rise to changes in the electron-phonon scattering rates [15][16][17][18][19][20][21], optical properties of the nanostructured materials [5,[22][23][24][25][26][27][28], and phonon scattering on defects, boundaries and other phonons [10,12,13,[29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Phonon Spectrum Engineering in Rolled-up Micro- and Nano-Architectures

Fomin

Balandin

2015

Applied Sciences

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Abstract:We report on a possibility of efficient engineering of the acoustic phonon energy spectrum in multishell tubular structures produced by a novel high-tech method of self-organization of micro-and nano-architectures. The strain-driven roll-up procedure paved the way for novel classes of metamaterials such as single semiconductor radial micro-and nano-crystals and multi-layer spiral micro-and nano-superlattices. The acoustic phonon dispersion is determined by solving the equations of elastodynamics for InAs and GaAs material systems. It is shown that the number of shells is an important control parameter of the phonon dispersion together with the structure dimensions and acoustic impedance mismatch between the superlattice layers. The obtained results suggest that rolled up nano-architectures are promising for thermoelectric applications owing to a possibility of significant reduction of the thermal conductivity without degradation of the electronic transport.

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Interaction Hamiltonian between an electron and polar surface vibrations in a symmetrical three-layer structure

Cited by 13 publications

References 11 publications

Quantum Theory of Multisubband Plasmon– Phonon Coupling

Quantum Theory of Multisubband Plasmon– Phonon Coupling

Polaronic Hamiltonian and Polar Optical Vibrations in Multilayer Structures

Phonon Spectrum Engineering in Rolled-up Micro- and Nano-Architectures

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