Some generic aspects of bosonic excitations in disordered systems

Details Some generic aspects of bosonic excitations in disordered systems Some generic aspects of bosonic excitations in disordered systems

2002-04-30

arxiv.org/abs/cond-mat/0204630v1

Phys. Rev. Lett. 89, 136801 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.89.136801

We consider non-interacting bosonic excitations in disordered systems, emphasising generic features of quadratic Hamiltonians in the absence of Goldstone modes. We discuss relationships between such Hamiltonians and the symmetry classes established for fermionic systems. We examine the density \rho(\omega) of excitation frequencies \omega, showing how the universal behavior \rho(\omega) ~ \omega^4 for small \omega can be obtained both from general arguments and by detailed calculations for one-dimensional models.

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