Critical behavior of the isotropic ferromagnetic quantum Heisenberg chain.
Critical behavior of the isotropic ferromagnetic quantum Heisenberg chain.
复制标题
各向同性铁磁量子海森堡链的临界行为。
DOI：
10.1103/physrevlett.54.2131
复制
发表时间：
1985
影响因子：
8.6
通讯作者：
Schlottmann
中科院分区：
文献类型：
--
作者：
Schlottmann
数值求解了各向同性铁磁性{S=FRAC{1}{2}$Heisenberg链的热力学Bethe-Anatz方程。在低温下，我发现比热和磁化率与临界指数$\ensuremath{\alpha}=\ensuremath{-}0.49\ifmmode\pm\else\textpm\fi{}0.02$，$\ensuremath{\gamma}=2.00\ifmmode\pm\else\textpm\fi{}0.02$，和$\ensuremath{\Delta}\ensuremath{\simeq}\ensuremath{\gamma}$.呈幂函数关系指数α与有效的自旋波是相容的，而经典链的指数是指数。得到了标度的幅值和改正，并讨论了与以前结果的差异。
The thermodynamic Bethe-Ansatz equations for the isotropic ferromagnetic $S=\frac{1}{2}$ Heisenberg chain have been solved numerically. At low temperatures, I find a power-law dependence on $T$ for the specific heat and the susceptibility with critical exponents $\ensuremath{\alpha}=\ensuremath{-}0.49\ifmmode\pm\else\textpm\fi{}0.02$, $\ensuremath{\gamma}=2.00\ifmmode\pm\else\textpm\fi{}0.02$, and $\ensuremath{\Delta}\ensuremath{\simeq}\ensuremath{\gamma}$. The exponent $\ensuremath{\alpha}$ is compatible with effective spin waves and $\ensuremath{\gamma}$ and $\ensuremath{\Delta}$ are the exponents of the classical chain. Amplitudes and corrections to scaling are obtained and differences with previous results are discussed.