A method for determining the frequency spectra of disordered lattices in two-dimensions-Reference-Cited by-同舟云学术

A method for determining the frequency spectra of disordered lattices in two-dimensions

Published:1960-12-29 Issue:1298 Volume:259 Page:409-418
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

A mathematical theorem is introduced which has direct application to the theory of lattice vibrations and is independent of dimension. It clarifies much of the previous work on disordered one-dimensional systems and provides the basis for a reasonable computational technique for the determination of the frequency spectra of disordered two-dimensional lattices.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1960.0235

Reference3 articles.

1. D ean P . 1959 Proc. Phys.

2. Proc. Roy;Soc. A,1960

3. D ean P . & M artin J . L. i960 Proc. Phys. Soc. 75 452. Soc. 73 413.

Cited by 92 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Localization and spin transport in honeycomb structures with spin-orbit coupling;Physical Review B;2015-11-12

2. Phonon transmission and thermal conductance in one-dimensional system with on-site potential disorder;Physics Letters A;2011-04

3. A density functional theory study of the atomic structure, formation energy, and vibrational properties of nitrogen-vacancy-oxygen defects in silicon;Journal of Applied Physics;2010-08

4. Theoretical study on the hopping conductivity of quasi-one-dimensional disordered systems;Acta Physica Sinica;2010

5. Randomness-induced redistribution of vibrational frequencies in amorphous solids;Physical Review B;2009-11-03