Thermal Bethe Ansatz Study of Correlation Length of Spin-1/2 Heisenberg Ferromagnetic Chain

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概要

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• The correlation length of the Heisenberg ferromagnetic chain with S=I/2 atsufficiently low temperatures (l//7.7510 ') is obtained numerically (relativeerror< 10 ') by the thermal Bethe Ansatz method developed recently by Koma. Thenumerical result shows directly that the critical exponent v of the correlation length 4defined as 4 - T ' is v = l and l; is expanded in d near T= 0. These results coincidewith the new spin wave theory in case of no spontaneous magnetization developed byTakahashi quantitatively with the accuracy of 2 x 10 '% and 7 x 10 '% as for thefirst and second order terms of a low-temperature expansion respectively.[Bethelength, ll correlationcalcula- ]l tionlansatz, Heisenberg ferromagnet, Heisenberg chaun, correlationfunction, low temperature expansion, spin wave, numerical

• 社団法人日本物理学会の論文
• 1990-03-15

著者

• Yamada Miki

  Institute For Solid State Physics University Of Tokyo

関連論文

• Thermal Bethe Ansatz Study of Correlation Length of Spin-1/2 Heisenberg Ferromagnetic Chain
• Critical Behavior of Spin-1/2 One-Dimensional Heisenberg Ferromagnet at Low Temperatures
• Spin-1/2 One-Dimensional Heisenberg Ferromagnet at Low-Temperature

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