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Published on: May 9, 2021
Acoustic interactions between inversion symmetric and asymmetric two-level systems.
A Churkin1, D Barash, M Schechter
1Department of Physics, Ben Gurion University of the Negev, Beer Sheva 84105, Israel. Department of Computer Science, Ben Gurion University of the Negev, Beer Sheva 84105, Israel.
Tunneling two-level systems (TLSs) explain universal low-temperature acoustic properties in disordered solids. This study numerically calculates TLS-TLS interactions, revealing how symmetry and disorder influence these interactions, supporting existing models.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Acoustics
Background:
- Amorphous solids and disordered lattices exhibit universal low-temperature acoustic properties.
- This universality is linked to phonon attenuation by tunneling two-level systems (TLSs).
- TLS-phonon interactions mediate effective TLS-TLS interactions, crucial for glassy phase properties.
Purpose of the Study:
- To numerically calculate effective TLS-TLS interactions in the archetypal disordered lattice KBr:CN.
- To investigate the influence of TLS symmetry (inversion symmetric vs. asymmetric) and disorder on these interactions.
- To characterize TLS-TLS interactions in disordered lattices across various dilutions.
Main Methods:
- Numerical calculations using the conjugate gradients method.
- Analysis of effective TLS-TLS interactions for both symmetric (CN flips) and asymmetric (CN rotations) TLSs.
- Simulation in two and three dimensions, with and without disorder.
Main Results:
- The magnitude and spatial power law of TLS-TLS interactions depend significantly on TLS symmetry.
- Disorder alters the characteristics of TLS-TLS interactions.
- Observed dependencies align with predictions for disordered lattices at different dilution levels.
Conclusions:
- The study provides a detailed characterization of TLS-TLS interactions in disordered systems like KBr:CN.
- Results support the two-TLS model in explaining quantitative universality in phonon attenuation.
- The findings clarify the energy scale (≈ 1-3 K) of low-temperature universality in disordered solids.
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