HIGH TEMPERATURE SERIES ANALYSIS OF SUSCEPTIBILITY DATA OF La2CuO4

1990 ◽  
Vol 04 (04) ◽  
pp. 283-287 ◽  
Author(s):  
K. Y. SZETO
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
Goodness Of Fit ◽  
Two Dimensions ◽  
Quantum Spin ◽  
Temperature Series ◽  
Xy Model ◽  
Zero Field ◽  
Susceptibility Data ◽  
Classical Heisenberg Model

The zero-field magnetic susceptibility of La 2 CuO 4 is analyzed using high temperature series for five different magnetic Hamiltonians in two-dimensions: spin 1/2 Heisenberg model, spin 1/2 XY model, classical Heisenberg model, classical XY model, and the Ising model. The goodness of fit indicates that the quantum spin 1/2 Heisenberg model is best, with the classical XY model second.

The spin model. III. Analysis of high temperature series expansions of some thermodynamic quantities in two dimensions

1979 ◽  
Vol 57 (10) ◽  
pp. 1719-1730 ◽  
Author(s):  
J. Rogiers ◽  
E. W. Grundke ◽  
D. D. Betts
Keyword(s):  
High Temperature ◽  
Specific Heat ◽  
Spin Model ◽  
Two Dimensions ◽  
Temperature Series ◽  
Transverse Spin ◽  
Series Expansions ◽  
Xy Model ◽  
Thermodynamic Quantities ◽  
Spin Correlations

In this paper we report analyses of high temperature series expansions for the spin [Formula: see text] XY model on the triangular and square lattices. Quantities for which series are analyzed include the fluctuation in the transverse magnetization, fourth order fluctuations in the same quantity, second and fourth moments of the transverse spin–spin correlations, specific heat, and entropy. The evidence favours a phase transition at a finite temperature with conventional power law critical singularities. Scaling seems to hold but hyperscaling seems to be violated. Estimates for critical exponents include γ = 2.50 ± 0.3. Δ = 2.38 ± 0.2, and ν = 143 ± 0.10. The specific heat exhibits no singular behaviour at Tc.

scholarly journals Exchange energies of kapellasite from high-temperature series analysis of the kagome latticeJ1−J2−Jd-Heisenberg model

2013 ◽  
Vol 87 (15) ◽  
Author(s):  
B. Bernu ◽  
C. Lhuillier ◽  
E. Kermarrec ◽  
F. Bert ◽  
P. Mendels ◽  
...  
Keyword(s):  
High Temperature ◽  
Heisenberg Model ◽  
Temperature Series ◽  
Series Analysis
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