Off-diagonal long-range order in the ground state of the two-dimensional antiferromagnetic Heisenberg model

1992 ◽  
Vol 170 (6) ◽  
pp. 458-461 ◽  
Author(s):  
Hao Biao ◽  
Chang-de Gong
Keyword(s):  
Long Range ◽  
Ground State ◽  
Heisenberg Model ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Antiferromagnetic Heisenberg Model

Long range order in the ground state of two-dimensional antiferromagnets

1986 ◽  
Vol 114 (6) ◽  
pp. 331-333 ◽  
Author(s):  
E.Jordão Neves ◽  
J.Fernando Perez
Keyword(s):  
Long Range ◽  
Ground State ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional

SPIN-1/2 TWO-DIMENSIONAL ANISOTROPIC HEISENBERG ANTIFERROMAGNETS

1989 ◽  
Vol 03 (09) ◽  
pp. 1435-1441 ◽  
Author(s):  
C.Y. PAN
Keyword(s):  
Renormalization Group ◽  
Long Range ◽  
Ground State ◽  
Two Dimensions ◽  
Range Order ◽  
Group Method ◽  
Long Range Order ◽  
Two Dimensional ◽  
Wide Range ◽  
Heisenberg Antiferromagnets

A real space renormalization group method is applied to study the spin-1/2 two-dimensional anisotropic Heisenberg antiferromagnets. We carry out the calculation on a 5×5 cluster by using a variational approach. The ground-state energy per site is estimated as e0=−0.6845±0.0005 which is in good agreement with other numerical estimates. We also calculate the different ground state energies when anisotropy changes. By comparing with 3×3 cluster calculation the resulting threshold for long range order drops and the curve of the renormalization group parameter vs. anisotropy shows no hint of discontinuity over a wide range of anisotropic parameters. Hence, our calculation suggests that long-range order exists for the ground-state of the spin-1/2 Heisenberg antiferromagnets in two dimensions.

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