Ginzburg-Landau theory of phase transitions in quasi-one-dimensional systems

Details Ginzburg-Landau theory of phase transitions in quasi-one-dimensional systems Ginzburg-Landau theory of phase transitions in quasi-one-dimensional systems

1995-01-18

arxiv.org/abs/cond-mat/9501068v1

Phys. Rev. B 51, 6249 (1995)

Physics

Condensed Matter

15 pages, RevTeX, 5 figures in uuencoded compressed tar file.

Scientific paper

10.1103/PhysRevB.51.6249

A wide range of quasi-one-dimensional materials, consisting of weakly coupled chains, undergo three-dimensional phase transitions that can be described by a complex order parameter. A Ginzburg-Landau theory is derived for such a transition. It is shown that intrachain fluctuations in the order parameter play a crucial role and must be treated exactly. The effect of these fluctuations is determined by a single dimensionless parameter. The three-dimensional transition temperature, the associated specific heat jump, coherence lengths, and width of the critical region, are computed assuming that the single chain Ginzburg-Landau coefficients are independent of temperature. The width of the critical region, estimated from the Ginzburg criterion, is virtually parameter independent, being about 5-8 per cent of the transition temperature. To appear in {\it Physical Review B,} March 1, 1995.

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