Competing interactions in the XYZ model

Abstract

We study the interplay between a XY anisotropy $\gamma$, exchange modulations and an external magnetic field along the z direction in the XYZ chain using bosonization and Lanczos diagonalization techniques. We find an Ising critical line in the space of couplings which occur due to competing relevant perturbations which are present. More general situations are also discussed.

6 pages, 6 figures

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Cited by in corpus (6)

• Field-induced chiral phase in isotropic frustrated spin chains
• Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties
• Z_3 Quantum Criticality in a spin-1/2 chain model
• Color-dependent interactions in the three coloring model
• Competing phases and intertwined orders in coupled wires near the self-dual point
• Anisotropy-induced spin parity effects