### Abstract

The EPR susceptibility is calculated using a new method which unlike Anderson's random phase approximation, enables the calculation to be performed for the finite temperatures corresponding to current EPR practice. The dynamic susceptibility obtained is equivalent to the Bloch-Hasagawa equations designated 'case B', i.e. relaxation towards the instantaneous equilibrium, in agreement with the results for the s-d exchange model and an earlier RPA calculation. However, the interpretation of the parameters is different to that for the s-d exchange model (i) the effective s-d exchange contains contributions from covalent mixing, atomic exchange and the conduction electron-electron interaction responsible for conduction electron enhancement (ii) the impurity g factor becomes renormalized as compared with its bare or 'ionic' value (iii) the impurity-impurity spin interaction in the Anderson model contains direct covalent mixing contributions which do not occur in the s-d exchange model.

Original language | English (US) |
---|---|

Article number | 015 |

Pages (from-to) | 115-130 |

Number of pages | 16 |

Journal | Journal of Physics F: Metal Physics |

Volume | 6 |

Issue number | 1 |

DOIs | |

State | Published - 1976 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Metals and Alloys

### Cite this

**Dynamic EPR susceptibility for the 'ionic' approach to the Anderson model.** / Barnes, Stewart.

Research output: Contribution to journal › Article

*Journal of Physics F: Metal Physics*, vol. 6, no. 1, 015, pp. 115-130. https://doi.org/10.1088/0305-4608/6/1/015

}

TY - JOUR

T1 - Dynamic EPR susceptibility for the 'ionic' approach to the Anderson model

AU - Barnes, Stewart

PY - 1976

Y1 - 1976

N2 - The EPR susceptibility is calculated using a new method which unlike Anderson's random phase approximation, enables the calculation to be performed for the finite temperatures corresponding to current EPR practice. The dynamic susceptibility obtained is equivalent to the Bloch-Hasagawa equations designated 'case B', i.e. relaxation towards the instantaneous equilibrium, in agreement with the results for the s-d exchange model and an earlier RPA calculation. However, the interpretation of the parameters is different to that for the s-d exchange model (i) the effective s-d exchange contains contributions from covalent mixing, atomic exchange and the conduction electron-electron interaction responsible for conduction electron enhancement (ii) the impurity g factor becomes renormalized as compared with its bare or 'ionic' value (iii) the impurity-impurity spin interaction in the Anderson model contains direct covalent mixing contributions which do not occur in the s-d exchange model.

AB - The EPR susceptibility is calculated using a new method which unlike Anderson's random phase approximation, enables the calculation to be performed for the finite temperatures corresponding to current EPR practice. The dynamic susceptibility obtained is equivalent to the Bloch-Hasagawa equations designated 'case B', i.e. relaxation towards the instantaneous equilibrium, in agreement with the results for the s-d exchange model and an earlier RPA calculation. However, the interpretation of the parameters is different to that for the s-d exchange model (i) the effective s-d exchange contains contributions from covalent mixing, atomic exchange and the conduction electron-electron interaction responsible for conduction electron enhancement (ii) the impurity g factor becomes renormalized as compared with its bare or 'ionic' value (iii) the impurity-impurity spin interaction in the Anderson model contains direct covalent mixing contributions which do not occur in the s-d exchange model.

UR - http://www.scopus.com/inward/record.url?scp=6244249110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6244249110&partnerID=8YFLogxK

U2 - 10.1088/0305-4608/6/1/015

DO - 10.1088/0305-4608/6/1/015

M3 - Article

AN - SCOPUS:6244249110

VL - 6

SP - 115

EP - 130

JO - Journal of Physics F: Metal Physics

JF - Journal of Physics F: Metal Physics

SN - 0305-4608

IS - 1

M1 - 015

ER -