Numerical Study of the Incommensurate Phase in Spin-Peierls Systems

Abstract

We analyze several properties of the lattice solitons in the incommensurate phase of spin-Peierls systems using exact diagonalization and quantum Monte Carlo. These systems are modelled by an antiferromagnetic Heisenberg chain with nearest and next-nearest neighbor interactions coupled to the lattice in the adiabatic approximation. Several relations among features of the solitons and magnetic properties of the system have been determined and compared with analytical predictions. We have studied in particular the relation between the soliton width and the spin-Peierls gap. Although this relation has the form predicted by bosonized field theories, we have found some important quantitative differences which could be relevant to describe experimental studies of spin-Peierls materials.

Revtex, 8 pages including 10 figures eps

References in corpus (3)

• Interchain Coupling Effects and Solitons in CuGeO_3
• Spin dynamics of the spin-Peierls compound CuGeO_3 under magnetic field
• On the soliton width in the incommensurate phase of spin-Peierls systems

Cited by in corpus (28)

• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Neutron scattering study of the field-induced soliton lattice in CuGeO${}_3$
• Study of spin-Peierls transition in alpha'--NaV2O5 by infrared reflectivity
• Magnetization plateaux induced by a coupling to the lattice
• Investigation of soliton bound states in the Raman spectrum of pure and doped spin-Peierls chains
• Tetramerisation of a frustrated spin-1/2 chain
• Temperature Dependence of Spin and Bond Ordering in a Spin-Peierls System
• Soliton Lattices in the Incommensurate Spin-Peierls Phase: Local Distortions and Magnetizations
• Magneto-elastic instability in Molecular Antiferromagnetic Rings
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Excitation Spectra of Structurally Dimerized and Spin-Peierls Chains in a Magnetic Field
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Low-energy excitations of spin-Peierls chains with modified bond-impurities
• Spin-Peierls transition of the first order in S=1 antiferromagnetic Heisenberg chains
• Topological solitons and bulk polarization switch in collinear type II multiferroics
• Microscopic model for magneto-electric coupling through lattice distortions
• Domain excitations in spin-Peierls systems
• Effect of Spin-1 Impurities in Dimerized Heisenberg Chains
• Inhomogeneous charge textures stabilized by electron-phonon interactions in the t-J model
• Double frustration and magneto-electro-elastic excitations in collinear multiferroic materials
• Dimerization process and elementary excitations in spin-Peierls chains coupled by frustrated interactions
• Ordered phases in spin-Peierls systems
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
• Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization
• Modulated Phases in Spin-Peierls Systems
• Structural transition, spontaneous formation of strong singlet dimers and metamagnetism in $S=3/2$ magnetoelastic spin chains
• Theoretical study of the magnetism in the incommensurate phase of TiOCl
• Mixing of magnetic and phononic excitations in incommensurate Spin-Peierls systems