Magnetization process and updated phase diagram of one-dimensional S=1 Ising model with single-ion anisotropy under magnetic field

AbstractThe one-dimensional Ising model with various boundary conditions is considered. Exact expressions for the thermodynamic and magnetic properties of the model using different kinds of boundary conditions [Dirichlet (D), Neumann (N), and a combination of Neumann–Dirichlet (ND)] are presented in the absence (presence) of a magnetic field. The finite-size scaling functions for internal energy, heat capacity, entropy, magnetisation, and magnetic susceptibility are derived and analysed as function of the temperature and the field. We show that the properties of the one-dimensional Ising model is affected by the finite size of the system and the imposed boundary conditions. The thermodynamic limit in which the finite-size functions approach the bulk case is also discussed.

Download Full-text

Phase diagram of a three-dimensional anisotropic long-range Ising model versus temperature and magnetic field

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/4/27/011 ◽

1992 ◽

Vol 4 (27) ◽

pp. 5921-5946 ◽

Cited By ~ 3

Author(s):

L M Floria ◽

P Quemerais ◽

S Aubry

Keyword(s):

Magnetic Field ◽

Phase Diagram ◽

Ising Model ◽

Long Range ◽

Three Dimensional ◽

Model Versus

Download Full-text

Phase Transition in 2D Anisotropic Ising Model with Next-Nearest Neighbor Interactions in a Magnetic Field

SPIN ◽

10.1142/s2010324718500108 ◽

2018 ◽

Vol 08 (03) ◽

pp. 1850010

Author(s):

D. Farsal ◽

M. Badia ◽

M. Bennai

Keyword(s):

Magnetic Field ◽

Phase Transition ◽

Phase Diagram ◽

Monte Carlo ◽

Magnetic Susceptibility ◽

Critical Temperature ◽

Ising Model ◽

Nearest Neighbor ◽

Two Dimensional ◽

The Magnetic Field

The critical behavior at the phase transition of the ferromagnetic two-dimensional anisotropic Ising model with next-nearest neighbor (NNN) couplings in the presence of the field is determined using mainly Monte Carlo (MC) method. This method is used to investigate the phase diagram of the model and to verify the existence of a divergence at null temperature which often appears in two-dimensional systems. We analyze also the influence of the report of the NNN interactions [Formula: see text] and the magnetic field [Formula: see text] on the critical temperature of the system, and we show that the critical temperature depends on the magnetic field for positive values of the interaction. Finally, we have investigated other thermodynamical qualities such as the magnetic susceptibility [Formula: see text]. It has been shown that their thermal behavior depends qualitatively and quantitatively on the strength of NNN interactions and the magnetic field.

Download Full-text