In a number of systems, including certain semiconductors and unconventional superconductors, the effective density of states varies like |E-${\mathit{E}}_{\mathit{F}}$${\mathrm{|}}^{\mathit{r}}$ near the Fermi energy. The behavior of dilute magnetic impurities in such systems is studied using a nonperturbative renormalization-group approach. Close to particle-hole symmetry, the Kondo effect is suppressed for the cases of greatest relevance (r=1 and 2). Away from this symmetry, any quenching of the impurity moment is accompanied by a low-temperature decrease in the impurity resistivity, rather than the increase found in metals. © 1996 The American Physical Society.

• Received 24 July 1996

DOI:https://doi.org/10.1103/PhysRevB.54.11936