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Exact, numerical, and mean field behavior of a dimerizing lattice in one dimension

Vasili Perebeinos·Philip B. Allen·James Napolitano
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Abstract

The thermodynamics and dynamics of a one dimensional dimer-forming anharmonic model is studied in the classical limit. This model mimics the behavior of materials with a Peierls instability. Specific heat, correlation length, and order parameter are calculated three ways: (a) by mean field approximation, (b) by numerical molecular dynamics simulation, and (c) by an exact transfer matrix method. The single-particle spectrum (velocity-velocity correlation function) is found numerically and in mean field theory.

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Vasili Perebeinos, Philip B. Allen, James Napolitano. 2000-10-02. Exact, numerical, and mean field behavior of a dimerizing lattice in one dimension. https://doi.org/10.1016/s0038-1098(01)00045-x

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