Scaling Theory of the Asymmetric Anderson Model.

摘要: A scaling theory is used to show that for temperatures $T\ensuremath{\ll}U$, the properties of asymmetric Anderson model ($U\ensuremath{\gg}|{E}_{d}|, \ensuremath{\Delta}$) are universal functions invariants $\ensuremath{\Delta}$ and ${{E}_{d}}^{*}={E}_{d}+(\frac{\ensuremath{\Delta}}{\ensuremath{\pi}})\mathrm{ln}(\frac{{W}_{0}}{\ensuremath{\Delta}})$, where ${W}_{0}$ conduction electron bandwidth or $U$, whichever smaller. Crossovers between various regimes simple behavior as temperature changes described. $|{{E}_{d}}^{*}|\ensuremath{\lesssim}\ensuremath{\Delta}$ identified criterion a "mixed-valence" ground state, susceptibility $\ensuremath{\approx}{\ensuremath{\Delta}}^{\ensuremath{-}1}$. For $\ensuremath{-}{{E}_{d}}^{*}\ensuremath{\gg}\ensuremath{\Delta}$, there local-moment regime with Kondo ${T}_{\mathrm{K}}\ensuremath{\approx}\ensuremath{\Delta}\mathrm{exp}(\frac{\ensuremath{\pi}{{E}_{d}}^{*}}{2\ensuremath{\Delta}})$.