Hypersound amplification by a superlattice in a nonquantised electric field

Shmelev, G. M.; Mensah, S. Y.; Tsurkan, G. I.

doi:10.1088/0022-3719/21/33/001

Cited by 14 publications

(8 citation statements)

References 5 publications

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“…12͒, or perpendicular electron miniband transport in weak electric field. 13 These phenomena are quite similar to the previously mentioned classical problem of sound amplification by drifting electrons in bulk materials. 8,9 The principal quantitative differences are due to the modification of the electron-phonon interaction and changes in the phonon mode structure of superlattices.…”

Section: Introductionsupporting

confidence: 76%

Generation of high-frequency coherent acoustic phonons in superlattices under hopping transport. I. Linear theory of phonon instability

Glavin¹,

Kochelap²,

Linnik³

et al. 2002

Phys. Rev. B

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In this work we consider the theory of high-frequency phonon generation in a weakly coupled doped semiconductor superlattice. Electric bias, applied to such a superlattice, destroys the electron minibands, creates electron states localized in the individual quantum wells, and forms population inversion between these states. An electric current occurs due to the phonon-induced interwell hops. We show that under such conditions the electric current produces a phonon instability: populations of phonon modes propagating almost collinearly with the superlattice axis increase exponentially in time. It is demonstrated that the population growth increment can be as high as several times 10 8 s Ϫ1 , and considerably exceeds the internal phonon scattering rates. Also discussed are effects influencing the increment, such as a screening of the electronphonon interaction and a modification of the phonon spectrum in superlattices.

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Section: Introductionsupporting

confidence: 76%

Generation of high-frequency coherent acoustic phonons in superlattices under hopping transport. I. Linear theory of phonon instability

Glavin¹,

Kochelap²,

Linnik³

et al. 2002

Phys. Rev. B

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“…It was also recently shown that acoustic stimuli can be utilised as a powerful mean to induce and to control high-frequency transport and resulting emission of electromagnetic waves in semiconductor heterostructres [22][23][24]. Although a certain progress has been achieved in understanding of the related highfrequency electro-acoustic phenomena [25][26][27], the underlying physical mechanisms and the related nonlinear dynamics are still poorly studied [28].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics and band transport in a superlattice driven by a plane wave

et al. 2017

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A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices and cold atoms in optical crystal. Here we apply kinetic description of the directed transport in a superlattice beyond standard linear approximation, and utilize exact path-integral solutions of the semiclassical transport equation. We show that the particle drift and average velocities have non-monotonic dependence on the wave amplitude with several prominent extrema. Such nontrivial kinetic behaviour is related to global bifurcations developing with an increase of the wave amplitude. They cause dramatic transformations of the system phase space and lead to changes of the transport regime. We describe different types of phase trajectories contributing to the directed transport and analyse their spectral content.

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“…The influence of an electromagnetic wave on the sound damping in semiconductor superlattices was considered in [6], but the phonon instability region was not determined. We also note that in [7], the sign-reversal range for the sound damping coefficient in the superlattice in a constant electric field was found.…”

mentioning

confidence: 51%

Generation of Acoustic Phonons in Semiconductor Superlattice in the Case of an Intraband Absorption of Electromagnetic Wave

Vyazovsky

Syrodoev

2005

Radiophys Quantum Electron

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We obtain the damping coefficient of an acoustic wave for the case of intraband multiphoton absorption of an electromagnetic wave in a superlattice. The ranges in which the acoustic damping coefficient reverses sign are determined for the sound-propagation directions which are transverse and parallel to the superlattice axis. Numerical summation of the series for the acoustic-wave gain is performed for typical parameters of the superlattice. The gain is estimated numerically. It is noted that multiphoton absorption affects the acoustic-wave gain in the superlattice if the field value is much smaller than that in a standard semiconductor.Generation of excess acoustic phonons in homogeneous semiconductors was considered in [1-3] for the case of intraband absorption of an electromagnetic wave. The instability region of such phonons, in whi9ch amplification of an acoustic wave can take place, is also determined in these works. A similar problem was solved for optical phonons in [4,5]. The influence of an electromagnetic wave on the sound damping in semiconductor superlattices was considered in [6], but the phonon instability region was not determined. We also note that in [7], the sign-reversal range for the sound damping coefficient in the superlattice in a constant electric field was found.In this paper, we obtain the damping coefficient of longitudinal acoustic phonons in a one-dimensional superlattice for the case of intraband absorption of an intense electromagnetic wave and determine the interval of the wave vectors q of phonons in which the damping coefficient reverses sign. To solve this problem, we assume that the effective Hamiltonian of the electron interaction with an electromagnetic wave in the nth conduction miniband has the formwhereis the electron energy in the nth miniband, z is the superlattice axis, ∆ n is the width of the nth miniband, µ is the effective electron mass, d is the superlattice constant,p = −i ∇, A(t) is the vector potential of the electromagnetic wave, is Plank's constant, e is the electron charge, and c is the speed of light. The Hamiltonian of the electron-phonon interaction for longitudinal acoustic phonons is written aŝwhere B q = /(2ρω q V ) qΞ for the case of the deformation potential of interaction, Ξ is the constant of the *

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Hypersound amplification by a superlattice in a nonquantised electric field

Cited by 14 publications

References 5 publications

Generation of high-frequency coherent acoustic phonons in superlattices under hopping transport. I. Linear theory of phonon instability

Generation of high-frequency coherent acoustic phonons in superlattices under hopping transport. I. Linear theory of phonon instability

Nonlinear dynamics and band transport in a superlattice driven by a plane wave

Generation of Acoustic Phonons in Semiconductor Superlattice in the Case of an Intraband Absorption of Electromagnetic Wave

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