On the ground state and phase transition fors=1/2 triangular lattice Heisenberg antiferromagnet with NN and NNN interactions

1994 ◽  
Vol 93 (3) ◽  
pp. 349-355 ◽  
Author(s):  
A. F. Barabanov ◽  
A. V. Mikheyenkov
Keyword(s):  
Phase Transition ◽  
Triangular Lattice ◽  
Ground State ◽  
Heisenberg Antiferromagnet

Ground-state properties of theS=1/2 Heisenberg antiferromagnet on a triangular lattice

1990 ◽  
Vol 42 (7) ◽  
pp. 4800-4803 ◽  
Author(s):  
Th. Jolicoeur ◽  
E. Dagotto ◽  
E. Gagliano ◽  
S. Bacci
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Heisenberg Antiferromagnet ◽  
Ground State Properties

LOW TEMPERATURE ACTION FOR QUANTUM ANTIFERROMAGNETS ON A TRIANGULAR LATTICE

1990 ◽  
Vol 04 (04) ◽  
pp. 569-580 ◽  
Author(s):  
ANTIMO ANGELUCCI
Keyword(s):  
Low Temperature ◽  
Configuration Space ◽  
Triangular Lattice ◽  
Ground State ◽  
Two Dimensional ◽  
Heisenberg Antiferromagnet ◽  
Low Frequencies ◽  
Quantum Antiferromagnets ◽  
Temperature Action

We present the long-wavelengths/low-frequencies action of a two-dimensional quantum Heisenberg antiferromagnet of general spin magnitude s on a triangular lattice which describe the fluctuations around the ordered Neél ground state. This action is a nonlinear σ-model whose configuration space is the SO(3) manifold, in this respect being different from the usual S2 σ-model which models an antiferromagnet on a bipartite lattice. We present a map on a O(4)-model which allows to study the properties of the system.

Zero-temperature properties of quantum spin models on the triangular lattice III: the Heisenberg antiferromagnet

1987 ◽  
Vol 65 (5) ◽  
pp. 489-491 ◽  
Author(s):  
S. Fujiki
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
State Energy ◽  
Spin Correlation ◽  
Quantum Spin ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Spin Models ◽  
Spin Correlations ◽  
Quantum Spin Models

The calculation of two- and four-spin correlations of the [Formula: see text] Heisenberg antiferromagnet has been extended to an N = 21 site triangular lattice. The infinite-lattice ground state energy per bond is estimated to be E0/3NJ = −0.3678 ± 0.005 by fitting a quadratic in 1/N to the finite N data. The plaquette chirality order is slightly greater than in the XY antiferromagnet. The two-spin correlation is conjectured to decay as [Formula: see text].

Ground state properties of the S=1/2 Heisenberg antiferromagnet on the triangular lattice

2000 ◽  
Vol 87 (9) ◽  
pp. 7046-7048 ◽  
Author(s):  
Luca Capriotti ◽  
Adolfo E. Trumper ◽  
Sandro Sorella
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Heisenberg Antiferromagnet ◽  
Ground State Properties

Effects of Dzyaloshinsky-Moriya Interaction on Planar Rotator Model on Triangular Lattice

2012 ◽  
Vol 11 (4) ◽  
pp. 1169-1181
Author(s):  
Yun-Zhou Sun ◽  
Lin Yi ◽  
Jian-Sheng Wang
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Triangular Lattice ◽  
Ground State ◽  
Critical Properties ◽  
Size Mismatch ◽  
Hybrid Monte Carlo ◽  
Rotator Model ◽  
Moriya Interaction ◽  
Bkt Phase Transition

AbstractThe thermodynamic properties and some critical properties of the planar rotator model with chiral Dzyaloshinsky-Moriya (DM) interaction on triangular lattice are analyzed using a hybrid Monte Carlo method. It has been shown that there is a XY-like Berezinskii-Kosterlitz-Thouless (BKT) phase transition in this model. The ground state of this spiral system and the effects of size mismatch are also discussed.

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