Stable particles in anisotropic spin-1 chains

Abstract

Motivated by field-theoretic predictions we investigate the stable excitations that exist in two characteristic gapped phases of a spin-1 model with Ising-like and single-ion anisotropies. The sine-Gordon theory indicates a region close to the phase boundary where a stable breather exists besides the stable particles, that form the Haldane triplet at the Heisenberg isotropic point. The numerical data, obtained by means of the Density Matrix Renormalization Group, confirm this picture in the so-called large-D phase for which we give also a quantitative analysis of the bound states using standard perturbation theory. However, the situation turns out to be considerably more intricate in the Haldane phase where, to the best of our data, we do not observe stable breathers contrarily to what could be expected from the sine-Gordon model, but rather only the three modes predicted by a novel anisotropic extension of the Non-Linear Sigma Model studied here by means of a saddle-point approximation.

8 pages, 7 eps figures, svjour class

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Cited by in corpus (9)

• Scaling Properties of Fidelity in Spin-one Anisotropic Model
• Fidelity approach to Gaussian transitions
• Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chain
• Hidden order in bosonic gases confined in one dimensional optical lattices
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Nonclassicality and criticality in symmetry-protected magnetic phases
• Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy
• Effective mapping of spin-1 chains onto integrable fermionic models. A study of string and Neel correlation functions
• Field theory analysis of S=1 antiferromagnetic bond-alternating chains in the dimer phase