Size-driven dimensional crossover in the quasi-two-dimensional Ising model

Naoki Kawashima, Yoshitomo Kamiya, Cristian D. Batista

Atsushi Yamagata

W.L. Basaiawmoit, Surjit Singh

Ichiro Hatta, Ryuzo Abe

Kyu Won Lee, Cheol Eui Lee

The finite-size effect in the quasi-one-dimensional (quasi-1D) Heisenberg model was studied by using a Monte Carlo simulation. As a result, a marked finite-size effect was found with decreasing interchain interaction. Aside from the well-known three- to one-dimensional crossover, a size-driven three- to two-dimensional crossover at a crossover anisotropy, depending on the interchain to intrachain interaction ratio and the system size, was revealed to be the origin of the finite-size effect.

Kyu Won Lee

We have studied the finite size effect in the quasi-one-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interchain interaction. Aside from the well-known dimensional crossover from 3D to 1D, a dimensional crossover from 3D to 2D at a crossover size L c (λ) ∼-1/(λln λ) was revealed as an origin of the finite size effect, where λ is the ratio of the interchain interaction to the intrachain one.