Abstract
The low-energy physics of a spin- 1 2 Kondo impurity in a gapless host, in which the density of band states ρ 0( ϵ)=| ϵ| r /(| ϵ| r + β r ) vanishes at the Fermi level ϵ=0, is studied by the Bethe ansatz. It is shown that the growth of the parameter Γ r = βg −1/ r (where g is an exchange coupling constant) drives the ground state of the system from the Kondo regime with a screened impurity spin to the Anderson regime, where the impurity spin is unscreened. However, in a weak magnetic field H, the impurity spin exceeds its free value, S i(H)> 1 2 , due to a strong coupling to a band.
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