Dynamical dimer-dimer correlation functions from exact diagonalization

Abstract

A regularization method is presented to deduce dynamic correlation functions from exact diagonalization calculations. It is applied to dimer-dimer correlation functions in quantum spin chains relevant for the description of spin-Peierls systems. Exact results for the XY model are presented. The analysis draws into doubt that the dimer-dimer correlation functions show the same scale invariance as spin-spin correlation functions. The results are applied to describe the quasi-elastic scattering in CuGeO${}_3$.

10 pages revtex, 10 figures

References in corpus (6)

• Introduction to the Bethe ansatz II
• The microscopic spin-phonon coupling constants in CuGeO_3
• Lineshape predictions via Bethe ansatz for the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field
• Finite Temperature DMRG Investigation of the Spin-Peierls Transition in CuGeO${}_3$
• Magneto-elastic excitations in spin-Peierls systems
• Pressure dependence and non-universal effects of microscopic couplings on the spin-Peierls transition in CuGeO_3

Cited by in corpus (3)

• Magneto-elastic excitations in spin-Peierls systems
• Dimer and trimer fluctuations in the s=1/2 transverse XX chain
• Line shapes of dynamical correlation functions in Heisenberg chains