Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain |
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Authors: | Email author" target="_blank">E?OrignacEmail author |
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Institution: | (1) Laboratoire de Physique Théorique de l École Normale, Supérieure CNRS-UMR8549, 24 rue Lhomond, 75231 Paris Cedex 05, France |
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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.Received: 24 February 2004, Published online: 12 July 2004PACS:
75.10.Pq Spin chain models |
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