Thermodynamic Quantities of Magnetic Chains : Pade Approximants to High-Temperature Expansions on the Internal Energy Plane and a Polynomial Fitting
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An improved Pad6 method is applied to the entropy and the reduced sus-ceptibility z' (=z-k.,T/N(gp)') expanded in powers of the internal energy inorder to calculate tlae specific heat c(T) for S<2 and the zero-field susceptibilityfor S=1/2 of a quantum Heisenberg spin chain, respectively. The exponentsct (c(7')x7") obtained for an antiferromagnetic exchange and 1<.5<2 are 1.6,1.4 and 1.3, which are much different from the value (a:1) given by the spin-wave theory (SW). It is also shown that the polynomials with exponents given bySW cannot fit in with the Pade approximants for these cases. This disagreementwith the behaviors of SW is ascribed, at least for .5= 1, to the nonzero gap foundby Botet and Jullien.
- 社団法人日本物理学会の論文
- 1985-02-15
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関連論文
- Low Temperature Thermodynamics of Magnetic Chains
- Thermodynamic Quantities of Magnetic Chains : Pade Approximants to High-Temperature Expansions on the Internal Energy Plane and a Polynomial Fitting