LONG-RANGE ORDER IN TWO-DIMENSIONAL XXZ MODEL

2009 ◽  
Vol 23 (09) ◽  
pp. 2195-2201
Author(s):  
WEN-LONG YOU
Keyword(s):  
Long Range ◽  
Easy Axis ◽  
Range Order ◽  
Sufficient Condition ◽  
Long Range Order ◽  
Two Dimensional ◽  
Reflection Positivity ◽  
Xxz Model

In the present paper, by applying the reflection positivity method due to Dyson, Lieb, and Simon, we rigorously establish the sufficient condition for existence of the Néel long-range order (NLRO) in two-dimensional spin-1/2 XXZ. Our result shows that if the anisotropic coupling Δ satisfies 0 ≤ Δ ≤ 0.30 or Δ ≥ 1.52, the existence of the NLRO along easy axis is proved.

Extended proof of long-range order in the two-dimensional quantum spin-1/2 XXZ-model at T=0

1991 ◽  
Vol 1 (5) ◽  
pp. 647-657 ◽  
Author(s):  
Hans-Aloys Wischmann ◽  
Erwin Müller-Hartmann
Keyword(s):  
Long Range ◽  
Quantum Spin ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Xxz Model

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

scholarly journals Long Range Order and Atomic Connectivity in Two-Dimensional Square PbSe Nanocrystal Superlattices

2015 ◽  
Vol 21 (S3) ◽  
pp. 1329-1330 ◽  
Author(s):  
Benjamin H. Savitzky ◽  
Robert Hovden ◽  
Kevin Whitham ◽  
Tobias Hanrath ◽  
Lena F. Kourkoutis
Keyword(s):  
Long Range ◽  
Range Order ◽  
Long Range Order ◽  
Two Dimensional ◽  
Nanocrystal Superlattices
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