Anderson transition of three dimensional phonon modes

Abstract

Anderson transition of the phonon modes is studied numerically. The critical exponent for the divergence of the localization length is estimated using the transfer matrix method, and the statistics of the modes is analyzed. The latter is shown to be in excellent agreement with the energy level statistics of the disrodered electron system belonging to the orthogonal universality class.

2 pages and another page for 3 figures, J. Phys. Soc. Japan

References in corpus (2)

• The Anderson transition: time reversal symmetry and universality
• Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux

Cited by in corpus (6)

• Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak
• Anderson localization of phonons in dimension $d=1,2,3$ : finite-size properties of the Inverse Participation Ratios of eigenstates
• Anderson universality in a model of disordered phonons
• Numerical simulation of the localization of elastic waves in two- and three-dimensional heterogeneous media
• Localization-delocalization transition for disordered cubic harmonic lattices
• Study of the localization-delocalization transition for phonons via transfer matrix method techniques