Renormalization-group analysis of long-range order in the two-dimensional antiferromagnetic Heisenberg model

1994 ◽  
Vol 50 (17) ◽  
pp. 12702-12710 ◽  
Author(s):  
H. Q. Lin ◽  
D. K. Campbell ◽  
Y. C. Cheng ◽  
C. Y. Pan
Keyword(s):  
Renormalization Group ◽  
Long Range ◽  
Heisenberg Model ◽  
Group Analysis ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Renormalization Group Analysis ◽  
Antiferromagnetic Heisenberg Model

Renormalization-Group Analysis of Two-Dimensional Fluid Stirred by Random Force with Long-Range Correlations

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1291-1300
Author(s):  
J. Honkonen
Keyword(s):  
Renormalization Group ◽  
Long Range ◽  
Group Analysis ◽  
Random Force ◽  
Two Dimensional ◽  
Renormalization Procedure ◽  
Renormalization Group Analysis ◽  
Long Range Correlations ◽  
Physical Consequences ◽  
Local Term

Asymptotic behavior of the solution of the vorticity equation for two-dimensional randomly stirred fluid with long-range correlations of the driving force is analyzed with the aid of field-theoretic renormalization group. It is shown that a local term must be added to the correlation function of the random force for the correct renormalization of the model. This has been overlooked in the earlier work on this model, and the physical consequences of the renormalization-group analysis are re-examined in the framework of the renormalization procedure suggested.

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.

scholarly journals Recovery of long-range order in two-dimensional charge density waves at high temperatures

2021 ◽  
Vol 27 (S1) ◽  
pp. 952-954
Author(s):  
Suk Hyun Sung ◽  
Yin Min Goh ◽  
Noah Schnitzer ◽  
Ismail El Baggari ◽  
Kai Sun ◽  
...  
Keyword(s):  
Charge Density ◽  
Long Range ◽  
High Temperatures ◽  
Charge Density Waves ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Density Waves
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