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

Edmond Orignac

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

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arxiv cond-mat/0403175 v1 pith:NJGL7VNY submitted 2004-03-05 cond-mat.str-el cond-mat.stat-mech

Edmond Orignac This is my paper · ORCID

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keywords chainexpressionspin-1dimerizedquantitativeaccountagreementamplitudes

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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.

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