2001/11/15 by S. N. Taraskin, Stephen R. Elliott, S. R. Elliott · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Nonlinear Photonic Systems #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.65.052201
4 pages, 3 figures. to appear in Phys. Rev. B
arxiv created 2001/11/15 · openalex publication_date 2002/01/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A zero-energy midband singularity has been found in the energy spectrum of random matrices with correlations between diagonal and off-diagonal elements typical of vibrational problems. Two representative classes of matrices, characterizing the instantaneous configurations in liquids and mechanically unstable lattices (which mimic the former), have been analyzed. At least for disordered lattice models, the singularity is universal and its origin can be explained within a mean-field treatment.