THERMODYNAMIC QUANTITIES OF MAGNETIC CHAINS - PADE APPROXIMANTS TO HIGH-TEMPERATURE EXPANSIONS ON THE INTERNAL ENERGY PLANE AND A POLYNOMIAL FITTING.

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Abstract

An improved Pade method is applied to the entropy and the reduced susceptibility expanded in powers of the internal energy in order to calculate the specific heat c(T) for S less than equivalent to 2 and the zero-field susceptibility for S equals one-half of a quantum Heisenberg spin chain, respectively. It is also shown that the polynomials with exponents given by spin wave theory (SW) cannot fit in with the Pade approximants for these cases. This disagreement with the behaviors of SW is ascribed, at least for S equals 1, to the nonzero gap.

Original languageEnglish
Pages (from-to)516-528
Number of pages13
JournalJournal of the Physical Society of Japan
Volume54
Issue number2
Publication statusPublished - 1985 Feb
Externally publishedYes

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internal energy
magnons
polynomials
magnetic permeability
thermodynamics
expansion
specific heat
exponents
entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "An improved Pade method is applied to the entropy and the reduced susceptibility expanded in powers of the internal energy in order to calculate the specific heat c(T) for S less than equivalent to 2 and the zero-field susceptibility for S equals one-half of a quantum Heisenberg spin chain, respectively. It is also shown that the polynomials with exponents given by spin wave theory (SW) cannot fit in with the Pade approximants for these cases. This disagreement with the behaviors of SW is ascribed, at least for S equals 1, to the nonzero gap.",
author = "Harukazu Igarashi",
year = "1985",
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language = "English",
volume = "54",
pages = "516--528",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
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AU - Igarashi, Harukazu

PY - 1985/2

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N2 - An improved Pade method is applied to the entropy and the reduced susceptibility expanded in powers of the internal energy in order to calculate the specific heat c(T) for S less than equivalent to 2 and the zero-field susceptibility for S equals one-half of a quantum Heisenberg spin chain, respectively. It is also shown that the polynomials with exponents given by spin wave theory (SW) cannot fit in with the Pade approximants for these cases. This disagreement with the behaviors of SW is ascribed, at least for S equals 1, to the nonzero gap.

AB - An improved Pade method is applied to the entropy and the reduced susceptibility expanded in powers of the internal energy in order to calculate the specific heat c(T) for S less than equivalent to 2 and the zero-field susceptibility for S equals one-half of a quantum Heisenberg spin chain, respectively. It is also shown that the polynomials with exponents given by spin wave theory (SW) cannot fit in with the Pade approximants for these cases. This disagreement with the behaviors of SW is ascribed, at least for S equals 1, to the nonzero gap.

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