No Or Diffuse Phase-Transition With Temperature In One-Dimensional Ising Model?

Abstract

For about a century since Ising model, one of the most important microscopic models of physics, was proposed, it is agreed that there is no phase-transition with temperature in the one-dimensional based on no global spontaneous-magnetization. On the contrary, our exact calculation of all-size spontaneous-magnetization and computer simulations of spin orientation states show that the low temperature state of one-dimensional Ising model (1D-IM) is a ferromagnetic phase of multi-domains, and it is concluded that the transition process from high temperature paramagnetic to low temperature ferromagnetic phase is a diffuse phase-transition by comparing with the corresponding phenomena. Moreover, based on the previous outcome that 1D-IM is always at paramagnetic state in whole temperature range, the corresponding one-dimensional materials cannot be used in storage and memory in principle. However, our results of the low temperature ferromagnetic state in 1D-IM indicate that the relevant materials have potential applications in storage devices.