Phase diagram of the easy-plane ferromagnetic-antiferromagnetic S=1 Heisenberg chain

2017 ◽  
Vol 523 ◽  
pp. 125-131
Author(s):  
Lihua Pan ◽  
Yu Cao ◽  
Bin Xi ◽  
Yong-Jun Liu
2015 ◽  
Vol 29 (07) ◽  
pp. 1550042 ◽  
Author(s):  
Lihua Wang ◽  
Sung Gong Chung

We develop entanglement perturbation theory (EPT) for infinite Quasi-1D quantum systems. The spin-1/2 Heisenberg chain with ferromagnetic nearest neighbor (NN) and antiferromagnetic next nearest neighbor (NNN) interactions with an easy-plane anisotropy is studied as a prototypical system. The obtained phase diagram is compared with a recent prediction [Phys. Rev. B 81, 094430 (2010)] that dimer and Néel orders appear alternately as the XXZ anisotropy Δ approaches the isotropic limit Δ = 1. The first and second transitions (across dimer, Néel and dimer phases) are detected with improved accuracy at Δ ≈ 0.722 and 0.930. The third transition (from dimer to Néel phases), previously predicted to be at Δ ≈ 0.98, is not detected at this Δ in our method, strongly indicating that the second Néel phase is absent.


1992 ◽  
Vol 104-107 ◽  
pp. 1067-1068 ◽  
Author(s):  
H. Grille ◽  
G. Kamieniarz ◽  
R.W. Gerling

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.


1995 ◽  
Vol 64 (11) ◽  
pp. 4485-4486 ◽  
Author(s):  
A. L. Malvezzi ◽  
F. C. Alcaraz

1990 ◽  
Vol 90-91 ◽  
pp. 305-306 ◽  
Author(s):  
S.O. Demokritov ◽  
N.M. Kreines ◽  
V.I. Kudinov ◽  
S.V. Petrov
Keyword(s):  

1997 ◽  
Vol 9 (3) ◽  
pp. 703-713 ◽  
Author(s):  
M Winkelmann ◽  
R Schneider ◽  
M Enderle ◽  
T Asano ◽  
Y Ajiro ◽  
...  

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