Ground state of the two-dimensional antiferromagnetic Heisenberg model and the resonating-valence-bond states

1988 ◽  
Vol 38 (10) ◽  
pp. 6863-6867 ◽  
Author(s):  
Sanyee Tang ◽  
H. Q. Lin
Keyword(s):  
Ground State ◽  
Heisenberg Model ◽  
Valence Bond ◽  
Two Dimensional ◽  
Resonating Valence Bond ◽  
Antiferromagnetic Heisenberg Model

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.

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