scholarly journals Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: A high-order coupled-cluster treatment

2000 ◽  
Vol 61 (21) ◽  
pp. 14607-14615 ◽  
Author(s):  
Sven E. Krüger ◽  
Johannes Richter ◽  
Jörg Schulenburg ◽  
Damian J. J. Farnell ◽  
Raymond F. Bishop
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Quantum Phase ◽  
Square Lattice ◽  
Coupled Cluster ◽  
Heisenberg Antiferromagnet

scholarly journals HIGH-ORDER COUPLED CLUSTER RESULTS FOR QUANTUM ANTIFERROMAGNETS AND THEIR PHASE TRANSITIONS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1385-1388
Author(s):  
R. F. BISHOP ◽  
D. J. J. FARNELL
Keyword(s):  
Phase Transitions ◽  
Excited State ◽  
Approximation Scheme ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Zero Temperature ◽  
Coupled Cluster Method ◽  
Quantum Antiferromagnets

The normal coupled cluster method is implemented to high orders in a systematic approximation scheme, and is shown to give accurate ground- and excited-state properties of anisotropic Heisenberg antiferromagnets and their quantum phase transitions at zero temperature.

scholarly journals Quantum correlations in critical XXZ system and LMG model

2018 ◽  
Vol 16 (03) ◽  
pp. 1850029 ◽  
Author(s):  
Biao-Liang Ye ◽  
Bo Li ◽  
Xianqing Li-Jost ◽  
Shao-Ming Fei
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
Quantum Correlations ◽  
Quantum Phase ◽  
Trace Distance ◽  
Quantum Uncertainty ◽  
Hartree Fock ◽  
Local Quantum Uncertainty ◽  
Local Quantum

We investigate the quantum phase transitions for the [Formula: see text] spin-1/2 chains via the quantum correlations between the nearest and next-to-nearest neighbor spins characterized by negativity, information deficit, trace distance discord and local quantum uncertainty. It is shown that all these correlations exhibit the quantum phase transitions at [Formula: see text]. However, only information deficit and local quantum uncertainty can demonstrate quantum phase transitions at [Formula: see text]. The analytical and numerical behaviors of the quantum correlations for the [Formula: see text] system are presented. We also consider quantum correlations in the Hartree–Fock ground state of the Lipkin–Meshkov–Glick (LMG) model.

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