We outline the numerical techniques used in calculating the one-magnon zero-temperature dynamic structure factor of a Heisenberg spin-glass. We employ equation-of-motion methods to study the dynamics of the Edwards-Anderson model where the exchange integral between nearest neighbors has a Gaussian distribution with zero mean and no correlation between different bonds. Numerical results are presented for a 16 × 16 × 16 simple cubic lattice with periodic boundary conditions. No evidence is found for long-wavelength propagating modes. A fit to the data suggests that at small q the structure factor is peaked at E=0. The methods are completely general and can be applied to other Heisenberg systems provided the exchange integrals and equilibrium spin orientations of the corresponding classical Hamiltonian are available as input.
ASJC Scopus subject areas
- Condensed Matter Physics