Abstract
We applied the numerical renormalization group method to study the electron spin resonance (ESR) of a single-impurity Anderson model with a gap Δ in the conduction electron density of states, centered at the Fermi level. We analyzed the relaxation rate 1/T1 of a magnetic probe located at a position R→ around the Anderson impurity. It presents different behaviors for the symmetric and the asymmetric case. For the symmetric case and any Δ>0, 1/T1 goes to a constant for T≪Γk (Kondo resonance). 1/T1 decreases monotonically to zero only for Δ=0. For the asymmetric case, there is a Δ under which 1/T1 decreases monotonically to zero as T→0, and above which 1/T1 saturates, as occurs in the symmetric case for Δ>0. This behavior indicates a quantum phase transition from the quenched to the unquenched magnetic moment in the ground state of the Anderson ion.
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