Two-dimensional Ising model nearTc: Approximation for small magnetic field

1978 ◽  
Vol 18 (9) ◽  
pp. 4886-4901 ◽  
Author(s):  
Barry M. McCoy ◽  
Tai Tsun Wu
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Two Dimensional ◽  
Small Magnetic Field

ISING MODEL IN THE MAGNETIC FIELD iπkT/2

1988 ◽  
Vol 02 (03n04) ◽  
pp. 471-481 ◽  
Author(s):  
K. Y. LIN ◽  
F. Y. WU
Keyword(s):  
Magnetic Field ◽  
Free Energy ◽  
Ising Model ◽  
Zero Field ◽  
Two Dimensional ◽  
Anisotropic Interactions ◽  
The Magnetic Field ◽  
Explicit Expressions

It is shown that the free energy and the magnetization of an Ising model in the magnetic field H = iπkT/2 can be obtained directly from corresponding expressions of these quantities in zero field, provided that the latter are known for sufficiently anisotropic interactions. Using this approach we derive explicit expressions of the free energy and the magnetization at H = iπkT/2 for a number of two-dimensional lattices.

Domain Analysis and Magnetic Relaxation in Thin Films

1998 ◽  
Vol 09 (06) ◽  
pp. 821-825 ◽  
Author(s):  
Tatiana G. Rappoport ◽  
F. S. de Menezes ◽  
L. C. Sampaio ◽  
M. P. Albuquerque ◽  
F. Mello
Keyword(s):  
Magnetic Field ◽  
Thin Films ◽  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Magnetic Relaxation ◽  
Film Plane ◽  
Relative Strength ◽  
Two Dimensional ◽  
Magnetic Domains

We have simulated the magnetic relaxation (M(t)) and the nucleation of magnetic domains in the presence of magnetic field in thin films with anisotropy perpendicular to the film plane. We have used Monte Carlo simulations based on the two-dimensional classical Ising model including the long-range dipole–dipole and Zeeman interactions. Domains nucleated during the magnetic relaxation exhibit very rough interfaces. We analyze the roughness and the M(t) as a function of the relative strength of dipole–dipole and Zeeman terms.

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

SPIN ◽  
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.

THE CIRCULAR PHOTOGALVANIC EFFECT IN TWO-DIMENSIONAL HOLE GASES IN PERPENDICULAR MAGNETIC FIELD

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2867-2871 ◽  
Author(s):  
D. A. VASYUKOV ◽  
A. S. PLAUT ◽  
A. H. MACDONALD ◽  
M. HENINI
Keyword(s):  
Magnetic Field ◽  
Landau Level ◽  
Photon Energy ◽  
Spectral Dependence ◽  
Perpendicular Magnetic Field ◽  
Two Dimensional ◽  
Photogalvanic Effect ◽  
Hall Measurements ◽  
Small Magnetic Field

We have measured the circular photogalvanic effect in a GaAs two-dimensional hole gas in zero and perpendicular magnetic field. The increase of the photoinduced voltage in very small magnetic field, when excited at fixed photon energy, demonstrates behavior reminiscent of that seen in anomalous Hall measurements on ferromagnets. The spectral dependence of the photoinduced voltage in magnetic field exhibits a series of maxima and minima that oscillate around zero volts. When plotted, the energy positions of these voltage peaks form a clear Landau-level-like fan chart.

Sign in / Sign up

Export Citation Format

Share Document