The J_1-J_2 model revisited : Phenomenology of CuGeO_3

Abstract

We present a mean field solution of the antiferromagnetic Heisenberg chain with nearest (J_1) and next to nearest neighbor (J_2) interactions. This solution provides a way to estimate the effects of frustration. We calculate the temperature-dependent spin-wave velocity, v_s(T) and discuss the possibility to determine the magnitude of frustration J_2/J_1 present in quasi 1D compounds from measurements of v_s(T). We compute the thermodynamic susceptibility at finite temperatures and compare it with the observed susceptibility of the spin-Peierls compound CuGeO_3. We also use the method to study the two-magnon Raman continuum observed in CuGeO_3 above the spin-Peierls transition.

arXiv commentPhys. Rev. B

References in corpus (3)

• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Frustration induced Raman scattering in CuGeO_3
• Investigation of the Spin-Peierls transition in CuGeO_3 by Raman scattering

Cited by in corpus (9)

• Magnetic light scattering in low-dimensional quantum spin systems
• Thermal Conductivity of the Spin Peierls Compound CuGeO_3
• Effects of in-chain and off-chain substitutions on spin fluctuations in the spin-Peierls compound CuGeO_3
• Probing the interplay between lattice dynamics and short-range magnetic correlations in CuGeO3 with femtosecond RIXS
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Lattice dynamics of CuGeO${}_3$ : inelastic neutron scattering and model calculations
• Magnon-magnon interactions in the Spin-Peierls compound CuGeO_3
• Molecular-field approach to the spin-Peierls transition in CuGeO_3
• Phonon spectrum in the spin-Peierls phase of CuGeO${}_3$