Estimation of beryllium ground state energy by Monte Carlo simulation

2015 ◽  
Author(s):  
K. M. Ariful Kabir ◽  
Amal Halder
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Monte Carlo calculation of the ground-state energy of an optical polaron

1983 ◽  
Vol 28 (10) ◽  
pp. 5735-5738 ◽  
Author(s):  
W. Becker ◽  
B. Gerlach ◽  
H. Schliffke
Keyword(s):  
Monte Carlo ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Monte Carlo Calculation

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.

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