Low-temperature behavior of the S=(1/2) ferromagnetic Heisenberg chain.
Low-temperature behavior of the S=(1/2) ferromagnetic Heisenberg chain.
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S=(1/2) 铁磁海森堡链的低温行为。
DOI：
10.1103/physrevb.33.4880
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
Schlottmann
中科院分区：
文献类型：
--
作者：
Schlottmann
A detailed account of the results of the numerical solution of the thermodynamic Bethe-ansatz equations for the isotropic ferromagnetic S=(1/2) Heisenberg chain is presented. The extrapolation procedure used in approximating the infinite set of coupled nonlinear integral equations is discussed. The data for the truncated integral equations are analyzed in terms of a finite-string-size scaling. Analytic expressions for the free energy and susceptibility for T\ensuremath{\rightarrow}0 are obtained. All the results are consistent with entropy S\ensuremath{\sim}(T/\ensuremath{\Vert}J\ensuremath{\Vert}${)}^{1/2}$ and \ensuremath{\chi}\ensuremath{\sim} \ensuremath{\Vert}J\ensuremath{\Vert} / ${T}^{2}$ [${\mathrm{scrL}}^{\mathrm{\ensuremath{-}}1}$+(lnscrL)/${\mathrm{scrL}}^{2}$+...]+O (${T}^{\mathrm{\ensuremath{-}}3/2}$) , where scrL=ln(\ensuremath{\Vert}J\ensuremath{\Vert}/T), suggesting the existence of a marginal variable. The logarithmic corrections reflect the analogy to the Kondo problem.
A detailed account of the results of the numerical solution of the thermodynamic Bethe-ansatz equations for the isotropic ferromagnetic S=(1/2) Heisenberg chain is presented. The extrapolation procedure used in approximating the infinite set of coupled nonlinear integral equations is discussed. The data for the truncated integral equations are analyzed in terms of a finite-string-size scaling. Analytic expressions for the free energy and susceptibility for T\ensuremath{\rightarrow}0 are obtained. All the results are consistent with entropy S\ensuremath{\sim}(T/\ensuremath{\Vert}J\ensuremath{\Vert}${)}^{1/2}$ and \ensuremath{\chi}\ensuremath{\sim} \ensuremath{\Vert}J\ensuremath{\Vert} / ${T}^{2}$ [${\mathrm{scrL}}^{\mathrm{\ensuremath{-}}1}$+(lnscrL)/${\mathrm{scrL}}^{2}$+...]+O (${T}^{\mathrm{\ensuremath{-}}3/2}$) , where scrL=ln(\ensuremath{\Vert}J\ensuremath{\Vert}/T), suggesting the existence of a marginal variable. The logarithmic corrections reflect the analogy to the Kondo problem.