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

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

2000-10-02

arxiv.org/abs/cond-mat/0010037v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, submitted to Phys. Rev. B

Scientific paper

10.1016/S0038-1098(01)00045-X

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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