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Dissipation induced by phonon elastic scattering in crystals

View Article: PubMed Central - PubMed

ABSTRACT

We demonstrate that the phonon elastic scattering leads to a dominant dissipation in crystals at low temperature. The two-level systems (TLSs) should be responsible for the elastic scattering, whereas the dissipation induced by static-point defects (SPDs) can not be neglected. One purpose of this work is to show how the energy splitting distribution of the TLS ensemble affects the dissipation. Besides, this article displays the proportion of phonon-TLS elastic scattering to total phonon dissipation. The coupling coefficient of phonon-SPD scattering and the constant P0 of the TLS distribution are important that we estimate their magnitudes in this paper. Our results is useful to understand the phonon dissipation mechanism, and give some clues to improve the performance of mechanical resonators, apply the desired defects, or reveal the atom configuration in lattice structure of disordered crystals.

No MeSH data available.


The comparison between our formula (13) and the experimental data8, which are denoted by solid lines and points, respectively.
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Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC5036349&req=5

f2: The comparison between our formula (13) and the experimental data8, which are denoted by solid lines and points, respectively.

Mentions: Obviously, equation (14) follows the Q × f 3 = const law at a given temperature, and due to the second term in curly braces, quality factor rises as temperature increases. This result is in agreement with the recent experiment8. Just as shown in Fig. 2, the measurement data obey the f−3 law, with const = 2.2 × 1016 (4.2 × 1015) [MHz]3 at 3.8 K (15 mK).


Dissipation induced by phonon elastic scattering in crystals
The comparison between our formula (13) and the experimental data8, which are denoted by solid lines and points, respectively.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5036349&req=5

f2: The comparison between our formula (13) and the experimental data8, which are denoted by solid lines and points, respectively.
Mentions: Obviously, equation (14) follows the Q × f 3 = const law at a given temperature, and due to the second term in curly braces, quality factor rises as temperature increases. This result is in agreement with the recent experiment8. Just as shown in Fig. 2, the measurement data obey the f−3 law, with const = 2.2 × 1016 (4.2 × 1015) [MHz]3 at 3.8 K (15 mK).

View Article: PubMed Central - PubMed

ABSTRACT

We demonstrate that the phonon elastic scattering leads to a dominant dissipation in crystals at low temperature. The two-level systems (TLSs) should be responsible for the elastic scattering, whereas the dissipation induced by static-point defects (SPDs) can not be neglected. One purpose of this work is to show how the energy splitting distribution of the TLS ensemble affects the dissipation. Besides, this article displays the proportion of phonon-TLS elastic scattering to total phonon dissipation. The coupling coefficient of phonon-SPD scattering and the constant P0 of the TLS distribution are important that we estimate their magnitudes in this paper. Our results is useful to understand the phonon dissipation mechanism, and give some clues to improve the performance of mechanical resonators, apply the desired defects, or reveal the atom configuration in lattice structure of disordered crystals.

No MeSH data available.