Quasi-local vibrations of amorphous solids in correlated random matrix theory

被引：0

作者：

Conyuh, D. A. ^{[1
]}

Beltukov, Ya. M. ^{[1
]}

机构：

[1] Ioffe Inst, St Petersburg, Russia

来源：

ST PETERSBURG POLYTECHNIC UNIVERSITY JOURNAL-PHYSICS AND MATHEMATICS | 2023年 / 16卷 / 01期

关键词：

amorphous solids; quasi-localized modes; random matrices; POTENTIALS;

D O I：

10.18721/JPM.161.131

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the random matrix theory to the study of quasi-localized modes in amorphous solids having correlated disorder due to the stability criterion. We demonstrate that the number and properties of quasi-local vibrations depend significantly on how much the statistics of the dynamical matrix elements differs from the Gaussian one. The quasi-localized regime of the vibrational density of states can be understood in the framework of a perturbation theory, which managed to identify the low-frequency asymptotic.

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页码：178 / 184

页数：7

相关论文

共 22 条

[1] Amorphous solids: Their structure, lattice dynamics and elasticity [J].

Alexander, S .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 296 (2-4) :65-236

[2] THERMAL-CONDUCTIVITY OF DISORDERED HARMONIC SOLIDS [J].

ALLEN, PB ;

FELDMAN, JL .

PHYSICAL REVIEW B, 1993, 48 (17) :12581-12588

[3] Ioffe-Regel criterion and diffusion of vibrations in random lattices [J].

Beltukov, Y. M. ;

Kozub, V. I. ;

Parshin, D. A. .

PHYSICAL REVIEW B, 2013, 87 (13)

[4] ANHARMONIC POTENTIALS AND VIBRATIONAL LOCALIZATION IN GLASSES [J].

BUCHENAU, U ;

GALPERIN, YM ;

GUREVICH, VL ;

SCHOBER, HR .

PHYSICAL REVIEW B, 1991, 43 (06) :5039-5045

[5] Universal Non-Debye Scaling in the Density of States of Amorphous Solids [J].

Charbonneau, Patrick ;

Corwin, Eric I. ;

Parisi, Giorgio ;

Poncet, Alexis ;

Zamponi, Francesco .

PHYSICAL REVIEW LETTERS, 2016, 117 (04)

[6] Random matrix approach to the boson peak and Ioffe-Regel criterion in amorphous solids [J].

Conyuh, D. A. ;

Beltukov, Y. M. .

PHYSICAL REVIEW B, 2021, 103 (10)

[7] Theory for the density of interacting quasilocalized modes in amorphous solids [J].

Ji, Wencheng ;

Popovic, Marko ;

de Geus, Tom W. J. ;

Lerner, Edan ;

Wyart, Matthieu .

PHYSICAL REVIEW E, 2019, 99 (02)

[8] Universal Nonphononic Density of States in 2D, 3D, and 4D Glasses [J].

Kapteijns, Geert ;

Bouchbinder, Eran ;

Lerner, Edan .

PHYSICAL REVIEW LETTERS, 2018, 121 (05)

[9] LOCALIZED LOW-FREQUENCY VIBRATIONAL-MODES IN A SIMPLE-MODEL GLASS [J].

LAIRD, BB ;

SCHOBER, HR .

PHYSICAL REVIEW LETTERS, 1991, 66 (05) :636-639

[10] Frustration-induced internal stresses are responsible for quasilocalized modes in structural glasses [J].

Lerner, Edan ;

Bouchbinder, Eran .

PHYSICAL REVIEW E, 2018, 97 (03)