## Abstract

We consider a single magnetic impurity described by the spin-anisotropic s-d(f) exchange (Kondo) model and formulate a scaling equation for the spin-anisotropic model when the density of states (DOS) of electrons is a power-law function of energy (measured relative to the Fermi energy). We solve this equation containing terms up to the second order in coupling constants in terms of elliptic functions. From the obtained solution we find the phases corresponding to the infinite isotropic antiferromagnetic Heisenberg exchange, to the impurity spin decoupled from the electron environment (only for the pseudogap DOS), and to the infinite Ising exchange (only for the diverging DOS). We analyze the critical surfaces, corresponding to the finite isotropic antiferromagnetic Heisenberg exchange for the pseudogap DOS.

Original language | English |
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Article number | 165412 |

Journal | Physical Review B |

Volume | 95 |

Issue number | 16 |

DOIs | |

State | Published - 10 Apr 2017 |

### Bibliographical note

Publisher Copyright:© 2017 American Physical Society.

### Funding

Funders | Funder number |
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Japan Society for the Promotion of Science | 16J07637 |