scholarly journals Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states

2006 ◽  
Vol 74 (17) ◽  
Author(s):  
Fa Wang ◽  
Ashvin Vishwanath
Keyword(s):  
Symmetry Group ◽  
Group Analysis ◽  
Spin Liquid ◽  
Liquid States

scholarly journals Spin-Liquid States in a Copper-Based Material: The Mysterious Quantum Phase CuNCN

2015 ◽  
Vol 4 (1) ◽  
pp. 63-68 ◽  
Author(s):  
Andrei L. Tchougréeff ◽  
Richard Dronskowski
Keyword(s):  
Quantum Phase ◽  
Spin Liquid ◽  
Liquid States

scholarly journals Quantum-spin-liquid states in the two-dimensional kagome antiferromagnets ZnxCu4−x(OD)6Cl2

2007 ◽  
Vol 6 (11) ◽  
pp. 853-857 ◽  
Author(s):  
S.-H. Lee ◽  
H. Kikuchi ◽  
Y. Qiu ◽  
B. Lake ◽  
Q. Huang ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Liquid ◽  
Two Dimensional ◽  
Liquid States ◽  
Quantum Spin Liquid

scholarly journals Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Masatomo Iwasa
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Singular Perturbation ◽  
Symmetry Group ◽  
Group Analysis ◽  
Lie Symmetry ◽  
Symmetry Groups ◽  
Lie Group Analysis ◽  
Constraint Equations ◽  
Perturbation Problems

Lie group analysis has been applied to singular perturbation problems in both ordinary differential and difference equations and has allowed us to find the reduced dynamics describing the asymptotic behavior of the dynamical system. The present study provides an extended method that is also applicable to partial differential equations. The main characteristic of the extended method is the restriction of the manifold by some constraint equations on which we search for a Lie symmetry group. This extension makes it possible to find a partial Lie symmetry group, which leads to a reduced dynamics describing the asymptotic behavior.

scholarly journals Instabilities of spin-liquid states in a quantum kagome antiferromagnet

2016 ◽  
Vol 93 (6) ◽  
Author(s):  
M. Gomilšek ◽  
M. Klanjšek ◽  
M. Pregelj ◽  
F. C. Coomer ◽  
H. Luetkens ◽  
...  
Keyword(s):  
Spin Liquid ◽  
Liquid States

Magnetic field influence on the Néel, dimer, and spin-liquid states of the low-dimensional antiferromagnetsNiTa2O6andCoSb2O6

2014 ◽  
Vol 90 (22) ◽  
Author(s):  
A. B. Christian ◽  
S. H. Masunaga ◽  
A. T. Schye ◽  
A. Rebello ◽  
J. J. Neumeier ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Spin Liquid ◽  
Low Dimensional ◽  
Liquid States ◽  
Field Influence

scholarly journals Competing spin-liquid states in the spin-12Heisenberg model on the triangular lattice

2015 ◽  
Vol 92 (14) ◽  
Author(s):  
Wen-Jun Hu ◽  
Shou-Shu Gong ◽  
Wei Zhu ◽  
D. N. Sheng
Keyword(s):  
Triangular Lattice ◽  
Spin Liquid ◽  
Liquid States

Lie Symmetry Group of the Nonisospectral Kadomtsev-Petviashvili Equation

2009 ◽  
Vol 64 (1-2) ◽  
pp. 8-14 ◽  
Author(s):  
Yong Chen ◽  
Xiaorui Hu
Keyword(s):  
Symmetry Group ◽  
Discrete Group ◽  
Group Analysis ◽  
Lie Symmetry ◽  
Kp Equation ◽  
Classical Symmetry ◽  
Petviashvili Equation ◽  
Finite Transformation ◽  
Special Case ◽  
Symmetry Method

The classical symmetry method and the modified Clarkson and Kruskal (C-K) method are used to obtain the Lie symmetry group of a nonisospectral Kadomtsev-Petviashvili (KP) equation. It is shown that the Lie symmetry group obtained via the traditional Lie approach is only a special case of the symmetry groups obtained by the modified C-K method. The discrete group analysis is given to show the relations between the discrete group and parameters in the ansatz. Furthermore, the expressions of the exact finite transformation of the Lie groups via the modified C-K method are much simpler than those obtained via the standard approach.

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