Resonant interaction of phonons with surface vibrational modes in a finite-size superlattice

Mizuno, Seiji; Tamura, Shin–ichiro

doi:10.1103/physrevb.53.4549

Cited by 45 publications

(31 citation statements)

References 20 publications

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“…͑23͒ is a necessary condition for the existence of surface-localized modes in the SL with a free surface. 5,14 These modes correspond to the Wallis modes of the semiinfinite one-dimensional chain with two atoms per unit cell. [15][16][17] It is well known that the Wallis mode appears when the atom at the end has smaller mass than the other atom.…”

Section: Discussionmentioning

confidence: 99%

“…͑19͒ leads to ͉͉Ӷ1 or ϳ0, because ͉S(N)͉ ϭsinh N/sinh ϾN. In the previous work, 14 it is shown that the equation ϭ0 gives the eigenfrequency s of the surface localized mode. That is, there is the possibility that Tϳ1 is realized only for the frequency near s .…”

Section: շ␥ ͑20͒mentioning

confidence: 98%

“…͑23͒ is a necessary condition for the existence of surface-localized modes. 5,14 Also, Eq. ͑24͒ means that the phonon amplitude is well localized near the surface.…”

Section: շ␥ ͑20͒mentioning

confidence: 99%

“…͑24͒ means that the phonon amplitude is well localized near the surface. 14 The remaining conditions, Eqs. ͑17͒ and ͑18͒, give the limitation of N. This is shown by deriving the approximated expression of Eq.…”

Section: շ␥ ͑20͒mentioning

confidence: 99%

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Theoretical study on resonant transmission of acoustic phonons propagating through a superlattice-liquid interface

Mizuno

2000

Phys. Rev. B

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We theoretically studied the resonant interaction of acoustic phonons with the vibrational mode localized near a superlattice-liquid interface. We calculated the phonon transmission rate and examined the peculiar resonance peak due to the localized mode. The peak value depends on the number of periods ͑N͒ of the superlattice, and this resonant feature disappears for large N and also small N. We derived the formula describing the resonance line and discussed the condition for such a resonance to be seen.

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Section: Discussionmentioning

confidence: 99%

Section: շ␥ ͑20͒mentioning

confidence: 98%

“…͑23͒ is a necessary condition for the existence of surface-localized modes. 5,14 Also, Eq. ͑24͒ means that the phonon amplitude is well localized near the surface.…”

Section: շ␥ ͑20͒mentioning

confidence: 99%

Section: շ␥ ͑20͒mentioning

confidence: 99%

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Theoretical study on resonant transmission of acoustic phonons propagating through a superlattice-liquid interface

Mizuno

2000

Phys. Rev. B

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“…The theoretical studies on the cavity phonons in SLs developed so far are mostly restricted to this case with k ʈ = 0. 22,23 For these nonpropagating local modes, three kinds of acoustic vibrations are treated to be decoupled from each other ͑valid in the isotropic approximation, for example͒ and accordingly the mathematical analysis is rather straightforward.…”

Section: Introductionmentioning

confidence: 99%

Acoustic-phonon cavity modes in one-dimensional multilayered elastic structures

2005

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We theoretically study "cavity" phonons, i.e., acoustic phonons localized in a foreign layer ͑a cavity layer͒ embedded in a periodic one-dimensional superlattice ͑SL͒ in the isotropic, continuum approximation. To find the eigenfrequencies of the cavity modes we develop a formulation based on the transfer matrix and Green's function methods and apply it to the case where the confined phonons propagate along the layer interfaces. These cavity phonons are predicted to exist for both the coupled longitudinal and transverse acoustic mode ͑the sagittal mode͒ and the single mode with pure transverse polarization ͑the shear-horizontal mode͒. Numerical examples are presented for periodic Al/ W multilayered structures with a Ag cavity layer and GaAs/ AlAs SLs with an Al 0.8 Ga 0.2 As layer. Finite-difference time-domain calculations for phonon packet propagation are also conducted to directly illustrate the existence of the confined cavity modes and also to confirm the validity of our formulation.

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Sagittal Elastic Waves at the Interface between a Superlattice and a Substrate: Theoretical Analysis of the Density of States and Reflection Coefficientsrik

Bria

Boudouti

Nougaoui

et al. 2000

phys. stat. sol. (b)

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We investigate the existence and behavior of localized and resonant acoustic modes of sagittal polarization associated with the interface between a superlattice (SL) and a substrate. These modes appear as well‐defined peaks in the density of states, either inside the minigaps or inside the bulk bands of the SL and the substrate. It is shown that the interface modes strongly depend on the acoustic impedances of the substrate. Furthermore, a phonon incident on the superlattice from a substrate is partially reflected in the substrate, therefore the amplitudes and the phases of the reflection coefficients enable us to deduce the frequency ranges of the bulk bands and the minigaps of the superlattice as well as the frequency levels of the interface resonant modes. The densities of states and reflection coefficients, which are calculated as function of the frequency ω and the wave vector k∥(parallel to the interfaces), are obtained from an analytical determination of the Green's function for the superlattice/substrate interface. Specific application of our analytical results are given for a W/Al isotropic superlattice in contact with a substrate with different acoustic impedances.

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Resonant interaction of phonons with surface vibrational modes in a finite-size superlattice

Cited by 45 publications

References 20 publications

Theoretical study on resonant transmission of acoustic phonons propagating through a superlattice-liquid interface

Theoretical study on resonant transmission of acoustic phonons propagating through a superlattice-liquid interface

Acoustic-phonon cavity modes in one-dimensional multilayered elastic structures

Sagittal Elastic Waves at the Interface between a Superlattice and a Substrate: Theoretical Analysis of the Density of States and Reflection Coefficientsrik

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