Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain

Article

Abstract.

Using results on the mass gap in the sine-Gordon model combined with the exact amplitudes in the bosonized representation of the Heisenberg spin-1/2 chain and one-loop renormalization group, we derive a quantitative expression for the gap in a dimerized spin-1/2 chain. This expression is shown to be in good agreement with recent numerical estimates when a marginally irrelevant perturbation is taken into account.

Keywords

Renormalization Group Numerical Estimate Quantitative Expression Exact Amplitude Irrelevant Perturbation 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Laboratoire de Physique Théorique de l’École NormaleSupérieure CNRS-UMR8549Paris Cedex 05France

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