THREE-SPIN CORRELATION OF THE ISING MODEL ON A KAGOMÉ LATTICE

1990 ◽  
Vol 04 (01) ◽  
pp. 123-130 ◽  
Author(s):  
K. Y. LIN ◽  
B. H. CHEN
Keyword(s):  
Ising Model ◽  
Spin Correlation ◽  
Pair Interaction ◽  
Kagome Lattice ◽  
Spin Correlations ◽  
Kagomé Lattice ◽  
Pair And Triplet Interactions ◽  
Isotropic Pair ◽  
Pair Interactions

Several local three-spin correlations are derived for the Ising model on a Kagomé lattice with anisotropic pair interactions. Three-spin correlation for three spins surrounding a triangle is derived for the Kagomé lattice Ising model with isotropic pair and triplet interactions at a particular temperature determined by pair interaction only.

scholarly journals Thermodynamics of Ising model on the kagome lattice

2017 ◽  
pp. 19-28
Author(s):  
M.A. Magomedov ◽  
◽  
A.K. Murtazaev ◽  
M.M. Isaeva ◽  
◽  
...  
Keyword(s):  
Ising Model ◽  
Kagome Lattice ◽  
Kagomé Lattice

Study of the Critical Behavior of the Ising Model on a Kagome Lattice

2018 ◽  
Vol 68 (5) ◽  
pp. 552-556
Author(s):  
Seung-Yeon KIM ◽  
Wooseop KWAK*
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Kagome Lattice ◽  
Kagomé Lattice

scholarly journals Magnetic ordering and fluctuation in Kagome lattice anti-ferromagnets, Fe and Cr jarosites

2001 ◽  
Vol 79 (11-12) ◽  
pp. 1511-1516 ◽  
Author(s):  
M Nishiyama ◽  
T Morimoto ◽  
S Maegawa ◽  
T Inami ◽  
Y Oka
Keyword(s):  
Magnetic Transition ◽  
Magnetic Ordering ◽  
Exchange Interactions ◽  
Lattice Relaxation ◽  
Spin Correlation ◽  
Spin Lattice Relaxation ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Spin Lattice ◽  
High Temperature Expansion

Jarosite family compounds, KFe3(OH)6(SO4)2 (abbreviated to Fe jarosite) and KCr3(OH)6(SO4)2 (Cr jarosite) are typical examples of Heisenberg anti-ferromagnets on the Kagome lattice and have been investigated by means of magnetization and NMR experiments. The susceptibility of Cr jarosite deviates from the Curie–Weiss law due to the short-range spin correlation below about 150 K and shows the magnetic transition at 4.2 K, while Fe jarosite has the transition at 65 K. The measured susceptibility fits well with the calculated one on the high-temperature expansion for the Heisenberg anti-ferromagnet on the Kagome lattice. The values of the exchange interactions of Cr jarosite and Fe jarosite are derived to be JCr = 4.9 K and JFe = 23 K, respectively. The 1H-NMR spectra of Fe jarosite suggest that the ordered spin structure is the q = 0 type 120° configuration with +1 chirality. The transition is considered to be caused by a weak single-ion type anisotropy. The spin-lattice relaxation rate, 1/T1, of Fe jarosite in the ordered phase decreases sharply with decreasing temperature and can be well explained by the two-magnon process of spin wave with the anisotropy. PACS No.: 75.25+z

scholarly journals Gapless chiral spin liquid from coupled chains on the kagome lattice

2018 ◽  
Vol 4 (1) ◽  
Author(s):  
Rodrigo Pereira ◽  
Samuel Bieri
Keyword(s):  
Mean Field ◽  
Effective Field ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Kagome Lattice ◽  
Fermi Surfaces ◽  
Spin Correlations ◽  
Kagomé Lattice ◽  
Renormalization Group Approach ◽  
Chiral Interaction

Using a perturbative renormalization group approach, we show that the extended (J_1-J_2-J_dJ1−J2−Jd) Heisenberg model on the kagome lattice with a staggered chiral interaction (J_\chiJχ) can exhibit a gapless chiral quantum spin liquid phase. Within a coupled-chain construction, this phase can be understood as a chiral sliding Luttinger liquid with algebraic decay of spin correlations along the chain directions. We calculate the low-energy properties of this gapless chiral spin liquid using the effective field theory and show that they are compatible with the predictions from parton mean-field theories with symmetry-protected line Fermi surfaces. These results may be relevant to the state observed in the kapellasite material.

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