scholarly journals Exact lower bounds to the ground-state energy of spin systems: The two-dimensionalS=1/2 antiferromagnetic Heisenberg model

1990 ◽  
Vol 41 (13) ◽  
pp. 9611-9613 ◽  
Author(s):  
Rolf Tarrach ◽  
Roser Valent
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
Heisenberg Model ◽  
State Energy ◽  
Spin Systems ◽  
Antiferromagnetic Heisenberg Model

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.

GROUND-STATE ENERGY OF THE SPIN-1/2 TWO-DIMENSIONAL ANTIFERROMAGNETIC HEISENBERG MODEL

1989 ◽  
Vol 03 (09) ◽  
pp. 1443-1446 ◽  
Author(s):  
C.Y. PAN
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Heisenberg Model ◽  
State Energy ◽  
Finite Size ◽  
Group Method ◽  
Two Dimensional ◽  
Real Space Renormalization Group ◽  
Antiferromagnetic Heisenberg Model ◽  
Good Agreement

The ground-state energy of the spin-1/2 two-dimensional antiferromagnetic Heisenberg model is obtained by a real space renormalization group method. A relative larger cluster (5×5) is used to improve the accuracy and a boundary theory is applied to extrapolate to the result which is in good agreement with the finite-size calculation and in fairly good agreement with the other available numerical estimates. How to further improve the calculation is discussed.

Rigorous lower bounds for the ground state energy of matter

2004 ◽  
Vol 332 (1-2) ◽  
pp. 54-59 ◽  
Author(s):  
E.B. Manoukian ◽  
S. Sirininlakul
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Lower bounds for the ground-state energy of4He clusters

1992 ◽  
Vol 14 (2) ◽  
pp. 177-181 ◽  
Author(s):  
M. Membrado ◽  
A. F. Pacheco ◽  
J. Sañudo
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Exact lower bounds for the ground state energy of correlated Fermi systems

1991 ◽  
Vol 185-189 ◽  
pp. 1685-1686
Author(s):  
Roser Valenti ◽  
P.J. Hirschfeld ◽  
Joachim Stolze ◽  
Claudius Gros
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Fermi Systems

scholarly journals Ground-State Energy of Biquadratic Spin Systems (S=3/2) in the (1/z)1-Approximation

2003 ◽  
Vol 103 (4) ◽  
pp. 403-414
Author(s):  
E. Błaszczak ◽  
J. Aksamit ◽  
A. Franek
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Spin Systems
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