Magneto-elastic excitations in spin-Peierls systems

Abstract

Within the random phase approximation to the spin-Peierls transition two parameter regimes of phonon softening and hardening are present. Magneto-elastic excitations are discussed in detail for phonons coupled to the exactly solvable model of XY spin chains for both regimes, leading to a modified interpretation of the 30 cm${}^{-1}$ mode in CuGeO${}_3$. Frustrated Heisenberg chains coupled to phonons satisfactory describe the pre-transitional quasi-elastic scattering in CuGeO${}_3$. A real space interpretation of the quasi-elastic scattering is given justifying effective Ising model approaches.

12 pages revtex, 11 figures

References in corpus (16)

• Reexamination of the microscopic couplings of the quasi one-dimensional antiferromagnet CuGeO_3
• Introduction to the Bethe ansatz II
• Peierls Dimerization with Non-Adiabatic Spin-Phonon Coupling
• Dynamics of the Peierls-active phonon modes in CuGeO_3
• 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
• Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain
• Finite Temperature DMRG Investigation of the Spin-Peierls Transition in CuGeO${}_3$
• Observation of three-magnon light scattering in CuGeO_3
• Lattice dynamical effects on the Peierls transition in one-dimensional metals and spin chains
• Lattice Dimerization in the Spin-Peierls Compound CuGeO${}_3$
• On the Incommensurate Phase of Pure and Doped Spin-Peierls System CuGeO_3
• Molecular-field approach to the spin-Peierls transition in CuGeO_3
• X-ray scattering study of two length scales in the critical fluctuations of CuGeO3
• Pressure dependence and non-universal effects of microscopic couplings on the spin-Peierls transition in CuGeO_3
• Dynamical dimer-dimer correlation functions from exact diagonalization

Cited by in corpus (8)

• X-ray Scattering Study of the spin-Peierls transition and soft phonon behavior in TiOCl
• Density waves in strongly correlated quantum chains
• Probing the interplay between lattice dynamics and short-range magnetic correlations in CuGeO3 with femtosecond RIXS
• The spin-Peierls transition beyond the adiabatic approximation
• Unusual Hole-doping-dependent Electronic Instability and Electron-Phonon Coupling in Infinite-layer Nickelates
• Quantum Narrowing Effect in a Spin-Peierls System with Quantum Lattice Fluctuation
• Cu Nuclear Quadrupole Resonance Study of the Spin-Peierls Compound Cu1-xMgxGeO3: A Possibility of Precursory Dimerization
• Dynamical dimer-dimer correlation functions from exact diagonalization