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

2004/03/05 by E. Orignac, Edmond Orignac · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2004-00198-5

published as Eur. Phys. J. B 39, 335 (2004) · 5 pages, 2 EPS figures, uses svjour.cls

arxiv created 2004/03/05 · openalex publication_date 2004/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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.

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• Adiabatic-antiadiabatic crossover in a spin-Peierls chain
• One dimensional Bose-Hubbard model with long range hopping

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