Takayuki Shirakura

Kosterlitz-Thouless phase transition of the axial next-nearest-neighbor Ising model in two dimensions

The spin structure of an axial next-nearest-neighbor Ising (ANNNI) model in two dimensions (2D) is a renewed problem because different Monte Carlo (MC) simulation methods predicted different spin orderings. The usual equilibrium simulation predicts the occurrence of a floating incommensurate (IC) Kosterlitz-Thouless (KT) type phase, which never emerges in non-equilibrium relaxation (NER) simulations. In this paper, we first examine previously published results of both methods, and then investigate a higher transition temperature,

Simulation of spin systems with Langevin dynamics

T_{c1}

Spin glasses in a uniform field

, between the IC and paramagnetic phases. In the usual equilibrium simulation, we calculate the layer magnetization on larger lattices (up to

Spin glass in the infinitely long-ranged bond-random anisotropic classical planar model-longitudinal and transverse spin glasses

512 \times 512

AC susceptibilities and relaxation time distributions for the two-dimensional and three-dimensional +or-J Ising spin glasses

sites) and estimate

The Frequency Dependence of the AC Susceptibility in Spin Glasses

T_{c1} \approx 1.16J

The phase transition of ferromagnets in an external AC field

with frustration ratio

Dynamical Mean Field Theory of Spin Glasses and Their Phase Transitions in ac External Fields

\kappa (\equiv -J_2/J_1) = 0.6

The phase transition of spin glasses in an external AC field

. We examine the nature of the phase transition in terms of the Binder ratio

The spin glass in an AC field

g_L