Critical equation of state of randomly dilute Ising systems

Details Critical equation of state of randomly dilute Ising systems Critical equation of state of randomly dilute Ising systems

2003-05-19

arxiv.org/abs/cond-mat/0305434v2

Phys.Rev. B68 (2003) 134418

Physics

Condensed Matter

Statistical Mechanics

21 pages, 1 figure, refs added

Scientific paper

10.1103/PhysRevB.68.134418

We determine the critical equation of state of three-dimensional randomly dilute Ising systems, i.e. of the random-exchange Ising universality class. We first consider the small-magnetization expansion of the Helmholtz free energy in the high-temperature phase. Then, we apply a systematic approximation scheme of the equation of state in the whole critical regime, that is based on polynomial parametric representations matching the small-magnetization of the Helmholtz free energy and satisfying a global stationarity condition. These results allow us to estimate several universal amplitude ratios, such as the ratio A^+/A^- of the specific-heat amplitudes. Our best estimate A^+/A^-=1.6(3) is in good agreement with experimental results on dilute uniaxial antiferromagnets.

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