scholarly journals Harmonically trapped fermions in two dimensions: Ground-state energy and contact of SU(2) and SU(4) systems via a nonuniform lattice Monte Carlo method

2016 ◽  
Vol 93 (3) ◽  
Author(s):  
Zhihuan Luo ◽  
Casey E. Berger ◽  
Joaquín E. Drut
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Two Dimensions ◽  
Lattice Monte Carlo ◽  
Trapped Fermions

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.

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

scholarly journals Ground state calculations of the confined molecular ions H2+ and HeH++ using variational Monte Carlo method

2016 ◽  
Vol 94 (5) ◽  
pp. 501-506 ◽  
Author(s):  
Salah B. Doma ◽  
Fatma N. El-Gammal ◽  
Asmaa A. Amer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State ◽  
State Energy ◽  
Molecular Ions ◽  
Variational Monte Carlo ◽  
Molecular Ion ◽  
Spheroidal Cavity ◽  
Variational Monte Carlo Method ◽  
Good Agreement

The ground state energy of hydrogen molecular ion [Formula: see text] confined by a hard prolate spheroidal cavity is calculated. The case in which the nuclear positions are clamped at the foci is considered. Our calculations are based on using the variational Monte Carlo method with an accurate trial wave function depending on many variational parameters. The results were extended to also include the HeH++ molecular ion. The obtained results are in good agreement with the most recent results.

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