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Mean-field theory of the spin-Peierls transition

2004/07/31 by E. Orignac, R. Chitra · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.70.214436

published as Phys. Rev. B 70, 214436 (2004) · 16 pages, 4 EPS figures v2: corrected discussion of logarithmic corrections, some typos corrected, references updated

arxiv created 2004/10/07 · openalex publication_date 2004/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We revisit the problem of the spin-Peierls instability in a one-dimensional spin-(1)/(2) chain coupled to phonons. The phonons are treated within the mean-field approximation. We use bosonization techniques to describe the gapped spin chain and then use the thermodynamic Bethe ansatz to obtain quantitative results for the thermodynamics of the spin-Peierls system in a whole range of temperature. This allows us to predict the behavior of the specific heat and the magnetic susceptibility in the entire dimerized phase. We study the effect of small magnetic fields on the transition. Moreover, we obtain the parameters of the Landau-Ginzburg theory describing this continuous phase transition near the critical point.

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