Mean Field theory of the spin-Peierls transition

Details Mean Field theory of the spin-Peierls transition Mean Field theory of the spin-Peierls transition

2004-07-21

arxiv.org/abs/cond-mat/0407561v2

Phys. Rev. B 70, 214436 (2004)

Physics

Condensed Matter

Superconductivity

16 pages, 4 EPS figures v2: corrected discussion of logarithmic corrections, some typos corrected, references updated

Scientific paper

10.1103/PhysRevB.70.214436

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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