Domain-Wall Energies and Magnetization of the Two-Dimensional Random-Bond Ising Model

Details Domain-Wall Energies and Magnetization of the Two-Dimensional Random-Bond Ising Model Domain-Wall Energies and Magnetization of the Two-Dimensional Random-Bond Ising Model

2004-01-23

arxiv.org/abs/cond-mat/0401464v1

Phys. Rev. B 70, 134425 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 12 figures, revTex

Scientific paper

10.1103/PhysRevB.70.134425

We study ground-state properties of the two-dimensional random-bond Ising model with couplings having a concentration $p\in[0,1]$ of antiferromagnetic and $(1-p)$ of ferromagnetic bonds. We apply an exact matching algorithm which enables us the study of systems with linear dimension $L$ up to 700. We study the behavior of the domain-wall energies and of the magnetization. We find that the paramagnet-ferromagnet transition occurs at $p_c \sim 0.103$ compared to the concentration $p_n\sim 0.109$ at the Nishimory point, which means that the phase diagram of the model exhibits a reentrance. Furthermore, we find no indications for an (intermediate) spin-glass ordering at finite temperature.

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