Series expansion for the symmetric Anderson Hamiltonian
Series expansion for the symmetric Anderson Hamiltonian
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对称安德森哈密顿量的级数展开
DOI：
10.1103/physrevb.28.6904
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发表时间：
1983
影响因子：
3.7
通讯作者：
B. Horvatić
中科院分区：
文献类型：
--
作者：
V. Zlatić;B. Horvatić
对称Anderson模型的自旋磁化率、电荷磁化率和比热可以展开成幂级数，对展开参数的任意有限值$\frac{U}{\ensuremath{\pi}\ensuremath{\Delta}}$都是绝对收敛的。这些展开式的系数满足简单递归关系${C}_{n}=(2n\ensuremath{-}1){C}_{n\ensuremath{-}1}\ensuremath{-}{(\frac{\ensuremath{\pi}}{2})}^{2} {C}_{n\ensuremath{-}2}$。该展开式迅速呈现渐近形式，并得到了$\frac{U}{\ensuremath{\pi}\ensuremath{\Delta}}\ensuremath{\gtrsim}2$的标度性质。
Spin susceptibility, charge susceptibility, and specific heat for the symmetric Anderson model can be expanded in power series which converge absolutely for any finite value of the expansion parameter $\frac{U}{\ensuremath{\pi}\ensuremath{\Delta}}$. The coefficients of these expansions satisfy the simple recursion relation ${C}_{n}=(2n\ensuremath{-}1){C}_{n\ensuremath{-}1}\ensuremath{-}{(\frac{\ensuremath{\pi}}{2})}^{2} {C}_{n\ensuremath{-}2}$. The expansions rapidly assume their asymptotic form and the scaling behavior is obtained for $\frac{U}{\ensuremath{\pi}\ensuremath{\Delta}}\ensuremath{\gtrsim}2$.