  We introduce and study a simplification of the symmetric single-impurity
Kondo model. In the Ising-Kondo model, host electrons scatter off a single
magnetic impurity at the origin whose spin orientation is dynamically
conserved. This reduces the problem to potential scattering of spinless
fermions that can be solved exactly using the equation-of-motion technique. The
Ising-Kondo model provides an example for static screening. At low
temperatures, the thermodynamics at finite magnetic fields resembles that of a
free spin-1/2 in a reduced external field. Alternatively, the Curie law can be
interpreted in terms of an antiferromagnetically screened effective spin. The
spin correlations decay algebraically to zero in the ground state and display
commensurate Friedel oscillations. In contrast to the symmetric Kondo model,
the impurity spin is not completely screened, i.e., the screening cloud
contains less than a spin-1/2 electron. At finite temperatures and weak
interactions, the spin correlations decay to zero exponentially with
correlation length $\xi(T)=1/(2\pi T)$.
