Local quantum critical behavior in magnetic Kondo impurity models with partially screened moment

Details Local quantum critical behavior in magnetic Kondo impurity models with partially screened moment Local quantum critical behavior in magnetic Kondo impurity models with partially screened moment

2004-12-21

arxiv.org/abs/cond-mat/0412561v2

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, no figures; revised version

Scientific paper

In the strong coupling limit, an effective resonant level model is derived for the spin-1 underscreened Kondo impurity model. A local quantum critical behavior is induced by the formation of a bound state with partially screened magnetic moment, displaying a residual $Z_2$ symmetry, leading to a $\delta $-resonance at the Fermi level in the impurity spectral function. As a consequence, a logarithmic singularity appears in the real part of the impurity dynamic spin susceptibility as a function of $\max (\omega, T)$, with $\omega $ as frequency, $T$ temperature. A small magnetic field breaks this $Z_2$ symmetry and suppresses the singularity. We also discuss the possible manifestation of such a quantum critical behavior in the spin-1/2 two Kondo impurity model and the single quantum dot system with even electron occupation.

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