Molecular-field approach to the spin-Peierls transition in CuGeO_3

Details Molecular-field approach to the spin-Peierls transition in CuGeO_3 Molecular-field approach to the spin-Peierls transition in CuGeO_3

1997-05-12

arxiv.org/abs/cond-mat/9705099v2

Phys. Rev. B 57 (1998) 2897

Physics

Condensed Matter

7.1 pages, figures included

Scientific paper

10.1103/PhysRevB.57.2897

We present a theory for the spin-Peierls transition in CuGeO_3. We map the elementary excitations of the dimerized chain (solitons) on an effective Ising model. Inter-chain coupling (or phonons) then introduce a linear binding potential between a pair of soliton and anti-soliton, leading to a finite transition temperature. We evaluate, as a function of temperature, the order parameter, the singlet-triplet gap, the specific heat, and the susceptibility and compare with experimental data on CuGeO_3. We find that CuGeO_3 is close to a first-order phase transition. We point out, that the famous scaling law \sim\delta^{2/3} of the triplet gap is a simple consequence of the linear binding potential between pairs of solitons and anti-solitons in dimerized spin chains.

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