Correlations in optical phonon spectra of complex solids

Abstract

Spectral correlations in the optical phonon spectrum of a solid with a complex unit cell are analysed using the Wigner-Dyson statistical approach. Despite the fact that all force constants are real, we find that the statistics are predominantly of the GUE type depending on the location within the Brillouin zone of a crystal and the unit cell symmetry. Analytic and numerical results for the crossover from GOE to GUE statistics are presented.

4 pages. 3 figures and table included

References in corpus (2)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Lattice-dynamical calculation of phonon scattering at a disordered interface

Cited by in corpus (3)

• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• Hierarchy of gaps and magnetic minibands in graphene in the presence of the Abrikosov vortex lattice
• Effect of the spatial reflection symmetry on the distribution of the parametric conductance derivative in ballistic chaotic cavities