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Phys. Rev. Lett. 86, 1255–1258 (2001)

Origin of the Boson Peak in Systems with Lattice Disorder

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S. N. Taraskin1, Y. L. Loh2, G. Natarajan2, and S. R. Elliott1
1Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
2Trinity College, University of Cambridge, Cambridge CB2 1TQ, United Kingdom

Received 6 July 2000; published in the issue dated 12 February 2001

The origin of the boson peak in models with force-constant disorder has been established by calculations using the coherent potential approximation. The analytical results obtained are supported by precise numerical solutions. The boson peak in the disordered system is associated with the lowest van Hove singularity in the spectrum of the reference crystalline system, pushed down in frequency by disorder-induced level-repelling and hybridization effects.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.1255
DOI:
10.1103/PhysRevLett.86.1255
PACS:
63.50.+x, 63.20.-e