Field-induced Ordering in Critical Antiferromagnets

Details Field-induced Ordering in Critical Antiferromagnets Field-induced Ordering in Critical Antiferromagnets

1998-12-21

arxiv.org/abs/cond-mat/9812341v1

Physical Review E, vol. 59, pp. 2772-2777 (1999)

Physics

Condensed Matter

Statistical Mechanics

RevTex, 7 pages, 4 eps figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.59.2772

Transfer-matrix scaling methods have been used to study critical properties of field-induced phase transitions of two distinct two-dimensional antiferromagnets with discrete-symmetry order parameters: triangular-lattice Ising systems (TIAF) and the square-lattice three-state Potts model (SPAF-3). Our main findings are summarised as follows. For TIAF, we have shown that the critical line leaves the zero-temperature, zero -field fixed point at a finite angle. Our best estimate of the slope at the origin is $(dT_c/dH)_{T=H=0} = 4.74 \pm 0.15$. For SPAF-3 we provided evidence that the zero-field correlation length diverges as $\xi(T \to 0, H=0) \simeq \exp (a/T^{x})$, with $x=1.08 \pm 0.13$, through analysis of the critical curve at $H \neq 0$ plus crossover arguments. For SPAF-3 we have also ascertained that the conformal anomaly and decay-of-correlations exponent behave as: (a) H=0: $c=1, \eta=1/3$; (b) $H \neq 0: c=1/2, \eta=1/4$.

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