Disorder-induced zero-energy spectral singularity for random matrices with correlations

Article

关键词: INSTANTANEOUS NORMAL-MODES;    SYSTEMS;    APPROXIMATION;    LIQUIDS;    STATES;   

DOI  :  10.1103/PhysRevB.65.052201

来源: SCIE

【 摘 要 】

A zero-energy midband singularity has been found in the energy spectrum of random matrices with cor-relations 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.

【 授权许可】

Free