Properties of the Phonon Gas in Ultrathin Membranes at Low Temperature

Anghel, Dragos-Victor; Pekola, Jukka P.; Leivo, Mikko; Suoknuuti, J. K.; Manninen, M.

doi:10.1103/physrevlett.81.2958

Cited by 39 publications

(45 citation statements)

References 5 publications

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“…In such thin membranes phonon propagation is essentially two dimensional. The condensation of the phonon gas into lower dimensions in ultrathin membranes was also theoretically discussed ͑Anghel et al, 1998;Anghel and Manninen, 1999;Kuhn et al, 2004͒. The self-suspended bridges improve thermal isolation of the dielectric platform from the heat bath ͑Leivo and Pekola, 1998͒.…”

Section: Application Of "Si…nis Structures To Lattice Refrigerationmentioning

confidence: 99%

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications

et al. 2006

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This review presents an overview of the thermal properties of mesoscopic structures. The discussion is based on the concept of electron energy distribution, and, in particular, on controlling and probing it. The temperature of an electron gas is determined by this distribution: refrigeration is equivalent to narrowing it, and thermometry is probing its convolution with a function characterizing the measuring device. Temperature exists, strictly speaking, only in quasiequilibrium in which the distribution follows the Fermi-Dirac form. Interesting nonequilibrium deviations can occur due to slow relaxation rates of the electrons, e.g., among themselves or with lattice phonons. Observation and applications of nonequilibrium phenomena are also discussed. The focus in this paper is at low temperatures, primarily below 4 K, where physical phenomena on mesoscopic scales and hybrid combinations of various types of materials, e.g., superconductors, normal metals, insulators, and doped semiconductors, open up a rich variety of device concepts. This review starts with an introduction to theoretical concepts and experimental results on thermal properties of mesoscopic structures. Then thermometry and refrigeration are examined with an emphasis on experiments. An immediate application of solid-state refrigeration and thermometry is in ultrasensitive radiation detection, which is discussed in depth. This review concludes with a summary of pertinent fabrication methods of presented devices.

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Section: Application Of "Si…nis Structures To Lattice Refrigerationmentioning

confidence: 99%

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications

et al. 2006

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“…The phonon wavelength depends on temperature, and when the film thickness is of the same order of magnitude as the phonon wavelength, the dimensionality of the phonon system changes. 30 The acoustic mismatch between the film and the substrate also affects the dimensionality of the phonons in the film. Generally a good coupling between the phonons in the substrate and in the film eliminates the low dimensionality effect.…”

Section: Introductionmentioning

confidence: 99%

Electron–phonon heat transport and electronic thermal conductivity in heavily doped silicon-on-insulator film

Kivinen¹,

Savin²,

Zgirski³

et al. 2003

Journal of Applied Physics

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Articles you may be interested in Self-consistent calculations of inversion-layer mobility in highly doped silicon-on-insulator metal-oxide-semiconductor field-effect transistors J. Appl. Phys. 90, 866 (2001) Electron-phonon interaction and electronic thermal conductivity have been investigated in heavily doped silicon at subKelvin temperatures. The heat flow between electron and phonon systems is found to be proportional to T 6 . Utilization of a superconductor-semiconductor-superconductor thermometer enables a precise measurement of electron and substrate temperatures. The electronic thermal conductivity is consistent with the Wiedemann-Franz law.

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“…When it is used as a radiation detector, to reach the sensitivity required by astronomical observations, the working temperature of the device should be in the range of hundreds of mK or below 1,10,11 . At such temperatures the phonon gas in the layered structure formed by the normal metal island and the supporting membrane undergoes a dimensionality cross-over from a three-dimensional (3D) gas (at higher temperatures) to a quasi two-dimensional (2D) gas (at lower temperatures) [12][13][14] .…”

Section: Introductionmentioning

confidence: 99%

Electron–phonon heat exchange in layered nano-systems

Anghel

Cojocaru

2016

Solid State Communications

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We analyze the heat power P between electrons and phonons in thin metallic films deposited on free-standing dielectric membranes in a temperature range in which the phonon gas has a quasi two-dimensional distribution. The quantization of the electrons wavenumbers in the direction perpendicular to the film surfaces lead to the formation of quasi two-dimensional electronic sub-bands. The electron-phonon coupling is treated in the deformation potential model and, if we denote by Te the electrons temperature and by T ph the phonons temperature, we find that P ≡ P (0) (Te) − P (1) (Te, T ph ); P (0) is the power "emitted" by the electron system to the phonons and P(1) is the power "absorbed" by the electrons from the phonons. Due to the quantization of the electronic states, P vs (d, Te) and P vs (d, T ph ) show very strong oscillations with d, forming sharp crests almost parallel to the temperature axes. In the valleys between the crests, P ∝ T 3.5 e − T 3.5 ph . From valley to crest, P increases by more than one order of magnitude and on the crests P does not have a simple power law dependence on temperature.The strong modulation of P with the thickness of the film may provide a way to control the electron-phonon heat power and the power dissipation in thin metallic films. Eventually the same mechanism may be used to detect small variations of d or surface contamination. On the other hand, the surface imperfections of the metallic films may make it difficult to observe the oscillations of P with d and eventually due to averaging the effects the heat flow would have a more smooth dependence on the thickness in real experiments.

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Properties of the Phonon Gas in Ultrathin Membranes at Low Temperature

Cited by 39 publications

References 5 publications

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications

Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications

Electron–phonon heat transport and electronic thermal conductivity in heavily doped silicon-on-insulator film

Electron–phonon heat exchange in layered nano-systems

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