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We present an O(N) algorithm to study the vibrational properties of amorphoussilicon within the framework of tight-binding approach. The dynamical matrixelements have been evaluated numerically in the harmonic approximationexploiting the short-range nature of the density matrix to calculate thevibrational density of states which is then compared with the same obtainedfrom a standard O($N^4$) algorithm. For the purpose of illustration, an1000-atom model is studied to calculate the localization properties of thevibrational eigenstates using the participation numbers calculation.Comment: 5 pages including 5 ps figures; added a figure and a few references;  accepted in Phys. Rev.

physical review. b, condensed matter

Vibrational properties of amorphous silicon from tight-binding<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>calculations

Vibrational properties of amorphous silicon from tight-bindingO(N)calculations