Physics of the Solid State
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Quasi-local vibrations in amorphous solids in the framework of the theory of non-Gaussian random matrices
The statistical features of quasi-local vibrations of disordered systems are studied within the framework of the model of correlated random matrices. It is shown that the statistics of matrix elements of the dynamical matrix strongly affects the properties of such vibrations. The lowest frequency part of the density of states of quasilocal vibrations is described by the expression rhoqlv(ω) propto ωn, where the power n is the number of neighboring atoms. However, if the distribution of matrix elements is strongly non-Gaussian, an additional dependence rhoqlv(ω) propto ω^γ appears, where the power γ decreases as the degree of non-Gaussianity increases. Keywords: quasi-local vibrations, amorphous solids, random matrices.
- W.A. Phillips, A.C. Anderson. Amorphous solids: low-temperature properties. Springer (1981). V. 24
- D.A. Parshin. Sov. Phys. Solid. State 36, 991 (1994)
- P.B. Allen, J.L. Feldman. Phys. Rev. B 48, 12581 (1993)
- U. Buchenau, Y.M. Galperin, V.L. Gurevich, H.R. Schober. Phys. Rev. B 43, 5039 (1991)
- D.A. Parshin. Phys. Rev. B 49, 9400 (1994)
- W. Ji, M. Popovic, T.W.J. de Geus, E. Lerner, M. Wyart. Phys. Rev. E 99, 023003 (2019)
- G. Kapteijns, E. Bouchbinder, E. Lerner. Phys. Rev. Lett. 121, 055501 (2018)
- P. Charbonneau, E.I. Corwin, G. Parisi, A. Poncet, F. Zamponi. Phys. Rev. Lett. 117, 045503 (2016)
- E. Lerner, E. Bouchbinder. Phys. Rev. E 96, 020104 (2017)
- L. Wang, A. Ninarello, P. Guan, L. Berthier, G. Szamel, E. Flenner. Nature Commun. 10, 1 (2019)
- C. Rainone, E. Bouchbinder, E. Lerner. Natl. Acad. Sci. 117, 5228 (2020)
- E. Lerner, G. D.uring, E. Bouchbinder. Phys. Rev. Lett. 117, 035501 (2016)
- H. Mizuno, H. Shiba, A. Ikeda. Proc. Natl. Acad. Sci. 114, E9767 (2017)
- M. Shimada, H. Mizuno, A. Ikeda. Soft Matter 16, 7279 (2020)
- S. Alexander. Phys. Rep. 296, 65 (1998)
- E. Lerner, E. Bouchbinder. Phys. Rev. E 97, 032140 (2018)
- Y.M. Beltukov, D.A. Parshin. Phys. Solid State 53, 151 (2011)
- Y.M. Beltukov, V.I. Kozub, D.A. Parshin. Phys. Rev. B 87, 134203 (2013)
- D.A. Conyuh, Y.M. Beltukov. Phys. Rev. B 103, 104204 (2021)
- E. Zurek, O. Jepsen, O.K. Andersen. Chem. Phys. Chem. 6, 1934 (2005)
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