Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Abstract

We analysed the ground state energy of some dimerized spin-1/2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spin-Peierls instability. We found that DM interaction may act either in favour of the dimerization or against it. The actual result depends on the dependence of DM interaction on the distortion amplitude in comparison with such dependence for the isotropic exchange interaction.

12 pages, latex, 3 figures

References in corpus (3)

• Submillimeter Wave ESR Study of Spin Gap Excitations in CuGeO3
• Electron-spin-resonance in the doped spin-Peierls compound Cu(1-x)Ni(x)GeO3
• The spin-1/2 transverse XX chain with regularly alternating bonds and fields

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• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Quantum phase transitions in the J-J' Heisenberg and XY spin-1/2 antiferromagnets on square lattice: Finite-size scaling analysis
• Spin-1/2 XY chain magnetoelectric: effect of zigzag geometry
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Influence of $XY$ anisotropy on a magnetoelectric effect in spin-1/2 $XY$ chain in a transverse magnetic field
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• On the compressibility of deformable spin chains in a vicinity of quantum critical points
• Spin excitations in the two-dimensional strongly coupled dimer system malachite
• Spontaneous distortion in the spin-1/2 Ising-Heisenberg model on decorated planar lattices with a magnetoelastic coupling