scholarly journals Logarithmic divergent specific heat from high-temperature series expansions: Application to the two-dimensional XXZ Heisenberg model

2021 ◽  
Vol 104 (16) ◽  
Author(s):  
M. G. Gonzalez ◽  
B. Bernu ◽  
L. Pierre ◽  
L. Messio
Keyword(s):  
High Temperature ◽  
Specific Heat ◽  
Heisenberg Model ◽  
Temperature Series ◽  
Series Expansions ◽  
Two Dimensional ◽  
Xxz Heisenberg Model

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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