Publisher's Note: Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models [Phys. Rev. B76, 064407 (2007)]

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
M. G. Pini ◽  
A. Rettori
Keyword(s):  
Exchange Interactions ◽  
Glauber Dynamics ◽  
Ising Models ◽  
Antiferromagnetic Exchange ◽  
One Dimensional

scholarly journals Quasi-1D XY antiferromagnet Sr2Ni(SeO3)2Cl2 at Sakai-Takahashi phase diagram

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
E. S. Kozlyakova ◽  
A. V. Moskin ◽  
P. S. Berdonosov ◽  
V. V. Gapontsev ◽  
S. V. Streltsov ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Long Range ◽  
Density Functional ◽  
Uniaxial Anisotropy ◽  
Exchange Interactions ◽  
Spin Liquid ◽  
Functional Theory ◽  
One Dimensional ◽  
Ordered Phases ◽  
Experimental Findings

AbstractUniform quasi-one-dimensional integer spin compounds are of interest as a potential realization of the Haldane conjecture of a gapped spin liquid. This phase, however, has to compete with magnetic anisotropy and long-range ordered phases, the implementation of which depends on the ratio of interchain J′ and intrachain J exchange interactions and both uniaxial D and rhombic E single-ion anisotropies. Strontium nickel selenite chloride, Sr2Ni(SeO3)2Cl2, is a spin-1 chain system which passes through a correlations regime at Tmax ~ 12 K to long-range order at TN = 6 K. Under external magnetic field it experiences the sequence of spin-flop at Bc1 = 9.0 T and spin-flip transitions Bc2 = 23.7 T prior to full saturation at Bsat = 31.0 T. Density functional theory provides values of the main exchange interactions and uniaxial anisotropy which corroborate the experimental findings. The values of J′/J = 0.083 and D/J = 0.357 place this compound into a hitherto unoccupied sector of the Sakai-Takahashi phase diagram.

scholarly journals Uniform andL 2 convergence in one dimensional stochastic Ising models

1989 ◽  
Vol 123 (1) ◽  
pp. 85-93 ◽  
Author(s):  
Richard A. Holley ◽  
Daniel W. Stroock
Keyword(s):  
Ising Models ◽  
One Dimensional

Recurrence relations in one-dimensional Ising models

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
C. M. Silva da Conceição ◽  
R. N. P. Maia
Keyword(s):  
Recurrence Relations ◽  
Ising Models ◽  
One Dimensional

scholarly journals Manganese Fluorene Phosphonates: Formation of Isolated Chains

Inorganics ◽  
2018 ◽  
Vol 6 (3) ◽  
pp. 92 ◽  
Author(s):  
Clarisse Bloyet ◽  
Jean-Michel Rueff ◽  
Vincent Caignaert ◽  
Bernard Raveau ◽  
Jean-François Lohier ◽  
...  
Keyword(s):  
Magnetic Susceptibility ◽  
Hydrogen Bonds ◽  
Phosphonic Acid ◽  
Van Der Waals ◽  
Exchange Interactions ◽  
Van Der Waals Interactions ◽  
Antiferromagnetic Exchange ◽  
Hydrothermal Conditions ◽  
Hirshfeld Surfaces ◽  
Nitrate Tetrahydrate

9,9-dimethylfluorenyl-2-phosphonic acid 1 was reacted with manganese nitrate tetrahydrate to produce under hydrothermal conditions the crystalline manganese phosphonate Mn(H2O)2[O2(OH)PC15H13]2·2H2O which crystallize in the P21/c space group. This compound is a rare example of Mn-phosphonate material featuring isolated chains. The interactions between these chains containing the 9,9-dimethylfluorenyl moieties, result from Van der Waals interactions involving the fluorene ligands and C···H–C hydrogen bonds as revealed by Hirshfeld Surfaces. This material features antiferromagnetic exchange interactions as revealed by the magnetic susceptibility as a function of the temperature.

Rb2CaCu6(PO4)4O2, a novel oxophosphate with a shchurovskyite-type topology: synthesis, structure, magnetic properties and crystal chemistry of rubidium copper phosphates

2019 ◽  
Vol 75 (5) ◽  
pp. 903-913
Author(s):  
Sergey M. Aksenov ◽  
Elena Yu. Borovikova ◽  
Vladimir S. Mironov ◽  
Natalia A. Yamnova ◽  
Anatoly S. Volkov ◽  
...  
Keyword(s):  
Multicomponent System ◽  
Exchange Interactions ◽  
Magnetic Behavior ◽  
Molar Ratio ◽  
Monoclinic Space Group ◽  
Antiferromagnetic Exchange ◽  
X Ray ◽  
Low Dimensional ◽  
Fierce Competition ◽  
Ordered State

Single crystals of Rb2CaCu6(PO4)4O2 were synthesized by a hydrothermal method in the multicomponent system CuCl2–Ca(OH)2–RbCl–B2O3–Rb3PO4. The synthesis was carried out in the temperature range from 690 to 700 K and at the general pressure of 480–500 atm [1 atm = 101.325 kPa] from the mixture in the molar ratio 2CuO:CaO:Rb2O:B2O3:P2O5. The crystals studied by single-crystal X-ray analysis were found to be monoclinic, space group C2, a = 16.8913 (4), b = 5.6406 (1), c = 8.3591 (3) Å, β = 93.919 (3)°, V = 794.57 (4) Å3. The crystal structure of Rb2CaCu6(PO4)4O2 is similar to that of shchurovskyite and dmisokolovite and is based upon a heteropolyhedral open framework formed by polar layers of copper polyhedra linked via isolated PO4 tetrahedra. The presence of well-isolated 2D heteropolyhedral layers in the title compound suggests low-dimensional magnetic behavior which is masked, however, by the fierce competition between multiple ferromagnetic and antiferromagnetic exchange interactions. At T C = 25 K, Rb2CaCu6(PO4)4O2 reaches a magnetically ordered state with large residual magnetization.

On the critical dynamics of one-dimensional disordered Ising models

1987 ◽  
Vol 20 (6) ◽  
pp. L387-L392 ◽  
Author(s):  
M Droz ◽  
J Kamphorst Leal da Silva ◽  
A Malaspinas ◽  
A L Stella
Keyword(s):  
Ising Models ◽  
Critical Dynamics ◽  
One Dimensional
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