Erratum: Zero-temperature properties of the two-dimensional Heisenberg antiferromagnet: A numerical study

1991 ◽  
Vol 44 (10) ◽  
pp. 5396-5396 ◽  
Author(s):  
Elbio Dagotto ◽  
Adriana Moreo
Keyword(s):  
Numerical Study ◽  
Two Dimensional ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature

Dynamics of a two-dimensional Heisenberg antiferromagnet at zero temperature

1991 ◽  
Vol 43 (16) ◽  
pp. 13456-13467 ◽  
Author(s):  
Jun-ichi Igarashi ◽  
Akihiro Watabe
Keyword(s):  
Two Dimensional ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature

scholarly journals Hysteresis in Two-Dimensional Liquid Crystal Models

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Slavko Buček ◽  
Samo Kralj ◽  
T. J. Sluckin
Keyword(s):  
External Field ◽  
Numerical Study ◽  
Mean Field ◽  
Hysteresis Loops ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Coupling Constant ◽  
Field Approach ◽  
Random Anisotropy ◽  
Internal Coupling

We make a numerical study of hysteresis loop shapes within a generalized two-dimensional Random Anisotropy Nematic (RAN) model at zero temperature. The hysteresis loops appear on cycling a static external ordering field. Ordering in these systems is history dependent and involves interplay between the internal coupling constantJ, the anisotropy random fieldD, and the ordering external fieldH. Here the external field is represented by a traceless tensor, analogous to extension-type fields in continuum mechanics. The calculations use both a mean field approach and full lattice simulations. Our analysis suggests the existence of two qualitatively different solutions, which we denote assymmetricandsymmetry breaking. For the set of parameters explored, only the symmetric solutions are stable. Both approaches yield qualitatively similar hysteresis curves, which are manifested either by single or double loops. But the quantitative differences indicate that mean field estimates are only of limited predictive value.

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