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 $\frac{U}{\pi \Delta }$. The coefficients of these expansions satisfy the simple recursion relation $C_n=(2n-1)\mathrm{}{C}_{n-1\mathrm{}}-{\left(\frac{\pi }{2}\right)}^2 C_{n-2\mathrm{}}$. The expansions rapidly assume their asymptotic form and the scaling behavior is obtained for $\frac{U}{\pi \Delta }\gtrsim 2$.

• Received 22 February 1983

DOI:https://doi.org/10.1103/PhysRevB.28.6904