Excess modes in the vibrational spectrum of disordered systems and the boson peak

Jan W. Kantelhardt, Stefanie Russ, and Armin Bunde
Phys. Rev. B 63, 064302 – Published 22 January 2001
PDFExport Citation

Abstract

We study a disordered vibrational model system, where the spring constants k are chosen from a distribution P(k)1/k above a cut-off value kmin>0. We can motivate this distribution by the presence of free volume in glassy materials. We show that the model system reproduces several important features of the boson peak in real glasses: (i) a low-frequency excess contribution to the Debye density of states, (ii) the hump of the specific heat cV(T) including the power-law relation between height and position of the hump, and (iii) the transition to localized modes well above the boson peak frequency.

  • Received 3 November 2000

DOI:https://doi.org/10.1103/PhysRevB.63.064302

©2001 American Physical Society

Authors & Affiliations

Jan W. Kantelhardt, Stefanie Russ, and Armin Bunde

  • Institut für Theoretische Physik III, Universität Giessen, D-35392 Giessen, Germany

References (Subscription Required)

Click to Expand
Issue

Vol. 63, Iss. 6 — 1 February 2001

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×