Phase Diagram of the Antiferromagnetic Heisenberg Model on a Cubic Lattice

JETP Letters ◽  
2019 ◽  
Vol 109 (9) ◽  
pp. 589-593 ◽  
Author(s):  
M. K. Ramazanov ◽  
A. K. Murtazaev
Keyword(s):  
Phase Diagram ◽  
Heisenberg Model ◽  
Cubic Lattice ◽  
Antiferromagnetic Heisenberg Model

DOUBLE-TIME GREEN'S FUNCTION APPROACH TO THE SPIN 1/2 SPATIALLY ANISOTROPIC ANTIFERROMAGNETIC HEISENBERG MODEL

2004 ◽  
Vol 18 (25) ◽  
pp. 3361-3371 ◽  
Author(s):  
ZHAO-MING WANG ◽  
YUAN CHEN
Keyword(s):  
Magnetic Properties ◽  
Green’S Function ◽  
Green's Function ◽  
Heisenberg Model ◽  
Function Method ◽  
Static Susceptibility ◽  
Spatial Anisotropy ◽  
Cubic Lattice ◽  
Antiferromagnetic Heisenberg Model ◽  
Double Time

By use of the double-time Green's function method in the cubic-lattice S=1/2 anisotropic antiferromagnetic two-sublattice Heisenberg model, in the Tyablikov approximation, the staggered magnetization m, the correlation function and the static susceptibility are investigated. And the effects of spatial anisotropy are explored. The magnetic properties of this model are found to be dependent of anisotropy.

GROUND-STATE PROPERTIES OF THE SPIN-1/2 ANTIFERROMAGNETIC HEISENBERG MODEL ON A CUBIC LATTICE BY A MONTE CARLO METHOD

1995 ◽  
Vol 09 (10) ◽  
pp. 619-627 ◽  
Author(s):  
R. A. SAUERWEIN ◽  
M. J. DE OLIVEIRA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State Energy ◽  
Ground State ◽  
Heisenberg Model ◽  
State Energy ◽  
Isotropic Case ◽  
Spatial Anisotropy ◽  
Cubic Lattice ◽  
Antiferromagnetic Heisenberg Model

The spin-1/2 antiferromagnetic Heisenberg model with spatial anisotropy is studied on a cubic lattice by a Monte Carlo Method. Two types of spatial anisotropies are considered: planar and axial. The staggered magnetization m† and the ground state energy per site ∊0 are obtained as a function of the anisotropy. In the isotropic case we have obtained m† = 0.429 ± 0.001 in units where the saturated value is 0.5 and ∊0 = –0.899 ± 0.001.

Sign in / Sign up

Export Citation Format

Share Document