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Physica B Condensed Matter

Field dependences of Haldane gaps in the S= 1 one-dimensional antiferromagnet NENP

L. P. Régnault, Ch. Vettier, J. M. Rossat-Mignod, Jean‐Pierre Renard

Published Jun 1, 1992• 27 citations
Publisher
DOI
10.1016/0921-4526(92)90702-t

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Gapless excitations in the high-field phase of a Haldane antiferromagnet

A. Zheludev, Zentaro Honda, Y. Chen +3 more

•Jul 19, 2001•1 citation
We present electron spin resonance experiments in the one-dimensional antiferromagnetic S=1S=1S=1 spin chains NENP and NINO in pulsed magnetic fields up to 50 T. The measured field dependence of the quantum energy gap for B∣∣bB||bB∣∣b is analyzed using the exact diagonalization method and the density matrix renormalization group method. A staggered anisotropy term $(\ensuremath{-}{1)}^{i}{d(S}_{i}^{x}{S}_{i}^{z}{+S}_{i}^{z}{S}_{i}^{x})$ was considered in addition to a staggered field term $(\ensuremath{-}{1)}^{i}{S}_{i}^{x}{B}_{\mathrm{st}}.$ We show that the spin dynamics in high magnetic fields strongly depends on the orthorhombic anisotropy E.
We use a quantum O(N) nonlinear \ensuremath{\sigma} model to describe one-dimensional quantum Heisenberg antiferromagnets with integer spin S. A large-N analytical treatment of this effective theory leads to definite predictions for thermodynamic quantities in the low-temperature regime. We obtain the Haldane gap as a function of the temperature and note a trend similar to that found in the compound NENP. The specific heat and magnetic susceptibility are also obtained and comparison with exact numerical results for the S=1 spin chain allows us to determine the domain of validity of our approximation. By a calculation at subleading 1/N order we compute the quasiparticle lifetime. Results are given on-shell, for the width observed at the quasiparticle pole as seen in neutron-scattering experiments, and also off-shell, for the NMR relaxation rate ${\mathit{T}}_{1}^{\mathrm{\ensuremath{-}}1}$. The phenomenological interacting boson model is compared with our approach. We discuss the effects of anisotropy and compare our results with present experiments on NENP.