Anderson transition of three dimensional phonon modes

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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

Scientific paper

10.1143/JPSJ.67.2954

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.

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