Phonons in Slow Motion: Dispersion Relations in Ultrathin Si Membranes

Cuffe, J.; Chavez, E.; Shchepetov, A.; Chapuis, Pierre-Olivier; Boudouti, El Houssaine El; Alzina, Francesc; Kehoe, Timothy; Gomis-Brescó, Jordi; Dudek, D.; Pennec, Yan; Djafari‐Rouhani, Bahram; Prunnila, Mika; Ahopelto, Jouni; Torres, C. M. Sotomayor

doi:10.1021/nl301204u

Cited by 90 publications

(91 citation statements)

References 46 publications

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“…They are classified according to their displacement about the midplane of the membrane into antisymmetric (A) or flexural, symmetric (S) or dilatational Lamb waves and shear horizontal (SH) waves [58]. Therefore, phonon confinement in membranes is a means to tailor the dispersion relation and, thereby, engineering phonon propagation, with membrane dimension acting as the tuning parameter [59,60]. The introduction of controlled stress (σ) in the membrane offers an additional degree of freedom to tailor the phonon dispersion relations [61].…”

Section: Confinement Effects In Low-dimensional Structures: Discretismentioning

confidence: 99%

Nanophononics: state of the art and perspectives

et al. 2016

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Abstract. Understanding and controlling vibrations in condensed matter is emerging as an essential necessity both at fundamental level and for the development of a broad variety of technological applications. Intelligent design of the band structure and transport properties of phonons at the nanoscale and of their interactions with electrons and photons impact the efficiency of nanoelectronic systems and thermoelectric materials, permit the exploration of quantum phenomena with micro-and nanoscale resonators, and provide new tools for spectroscopy and imaging. In this colloquium we assess the state of the art of nanophononics, describing the recent achievements and the open challenges in nanoscale heat transport, coherent phonon generation and exploitation, and in nano-and optomechanics. We also underline the links among the diverse communities involved in the study of nanoscale phonons, pointing out the common goals and opportunities.

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Section: Confinement Effects In Low-dimensional Structures: Discretismentioning

confidence: 99%

Nanophononics: state of the art and perspectives

et al. 2016

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“…In the general case of anisotropic materials the phonon dispersion for relatively small wave numbers can be satisfactorily determined by numerical calculations based on the elastic continuum theory [9,41]. Assuming the longwavelength approximation, membranes without phononic structures are effectively homogenous, thus the wave vector q and the wave vector k of the acoustic phonon are equal.…”

Section: A Thin Si Membranementioning

confidence: 99%

“…Both periodic modulation of the elastic properties in phononic crystals (PnCs) [1][2][3][4][5][6] and reduction of the characteristic dimensions as in, e.g., thin membranes, thin films, and nanowires [7][8][9][10] lead to acoustic phonon propagation which is quite different than for bulk systems. The artificial, second-order periodicity introduced in PnCs results in the modification of the phonon dispersion and, optionally, in complete frequency band gaps due to Bragg reflections and/or local resonances, which can be controlled by geometry and material properties [1,3,11,12].…”

Section: Introductionmentioning

confidence: 99%

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Phonon dispersion in hypersonic two-dimensional phononic crystal membranes

et al. 2015

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We investigate experimentally and theoretically the acoustic phonon propagation in two-dimensional phononic crystal membranes. Solid-air and solid-solid phononic crystals were made of square lattices of holes and Au pillars in and on 250 nm thick single crystalline Si membrane, respectively. The hypersonic phonon dispersion was investigated using Brillouin light scattering. Volume reduction (holes) or mass loading (pillars) accompanied with second-order periodicity and local resonances are shown to significantly modify the propagation of thermally activated GHz phonons. We use numerical modeling based on the finite element method to analyze the experimental results and determine polarization, symmetry, or three-dimensional localization of observed modes.

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“…Furthermore, thin free-standing SOI structures are ideal to investigate basic physics phenomena in low dimensional structures, such as thermal properties. [6][7][8][9] The most common way to fabricate supported single crystalline Si membranes is to release the top Si layer of a SOI wafer by etching from the backside through the handle wafer and the buried oxide (BOX) layer. However, to obtain very thin membranes, the process usually requires thermal oxidation to thin down the SOI film, followed by removal of the grown oxide.…”

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confidence: 99%

Ultra-thin free-standing single crystalline silicon membranes with strain control

Shchepetov

Prunnila

Alzina

et al. 2013

Applied Physics Letters

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We report on fabrication and characterization of ultra-thin suspended single crystalline flat silicon membranes with thickness down to 6 nm. We have developed a method to control the strain in the membranes by adding a strain compensating frame on the silicon membrane perimeter to avoid buckling after the release. We show that by changing the properties of the frame the strain of the membrane can be tuned in controlled manner. Consequently, both the mechanical properties and the band structure can be engineered, and the resulting membranes provide a unique laboratory to study low-dimensional electronic, photonic, and phononic phenomena.

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Phonons in Slow Motion: Dispersion Relations in Ultrathin Si Membranes

Cited by 90 publications

References 46 publications

Nanophononics: state of the art and perspectives

Nanophononics: state of the art and perspectives

Phonon dispersion in hypersonic two-dimensional phononic crystal membranes

Ultra-thin free-standing single crystalline silicon membranes with strain control

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