Integer-spin Heisenberg Chains in a Staggered Magnetic Field. A Nonlinear $σ$-Model Approach

Details Integer-spin Heisenberg Chains in a Staggered Magnetic Field. A Nonlinear $σ$-Model Approach Integer-spin Heisenberg Chains in a Staggered Magnetic Field. A Nonlinear $σ$-Model Approach

2000-01-28

arxiv.org/abs/cond-mat/0001416v1

Europhys.Lett.49:434-440,2000

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex, 5 pages + 3 postscript figures

Scientific paper

10.1209/epl/i2000-00456-2

We present here a nonlinear sigma-model (NL$\sigma$M) study of a spin-1 antiferromagnetic Heisenberg chain in an external commensurate staggered magnetic field. We find, already at the mean-field level, excellent agreement with recent and very accurate Density Matrix Renormalization Group (DMRG) studies, and that up to the highest values of the field for which a comparison is possible, for the staggered magnetization and the transverse spin gap. Qualitative but not quantitative agreement is found between the NL$\sigma$M predictions for the longitudinal spin gap and the DMRG results. The origin of the discrepancies is traced and discussed. Our results allow for extensions to higher-spin chains that have not yet been studied numerically, and the predictions for a spin-2 chain are presented and discussed. Comparison is also made with previous theoretical approaches that led instead to predictions in disagreement with the DMRG results.

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