### Abstract

We introduce a new method of replacing spin operators with pseudofermions. For a spin value S there are 2S pseudofermions each of which can have spin up or down. In contrast to the standard Abrikosov method which has 2S+1 inequivalent fermions, i.e., one for each Sz value, the present pairs are all equivalent. It follows that the general spin expression is obtained by multiplying the S=(1/2 result by a ceratin combinational factor. This aids in the construction of rotationally invariant solutions for the general-spin Kondo problem for the case when n2S, where n is the number of conduction-electron scattering channels.

Original language | English (US) |
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Pages (from-to) | 2220-2222 |

Number of pages | 3 |

Journal | Physical Review B |

Volume | 37 |

Issue number | 4 |

DOIs | |

State | Published - 1988 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

**Alternative Feynman-diagram method for the general-spin Kondo problem.** / Barnes, Stewart.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 37, no. 4, pp. 2220-2222. https://doi.org/10.1103/PhysRevB.37.2220

}

TY - JOUR

T1 - Alternative Feynman-diagram method for the general-spin Kondo problem

AU - Barnes, Stewart

PY - 1988

Y1 - 1988

N2 - We introduce a new method of replacing spin operators with pseudofermions. For a spin value S there are 2S pseudofermions each of which can have spin up or down. In contrast to the standard Abrikosov method which has 2S+1 inequivalent fermions, i.e., one for each Sz value, the present pairs are all equivalent. It follows that the general spin expression is obtained by multiplying the S=(1/2 result by a ceratin combinational factor. This aids in the construction of rotationally invariant solutions for the general-spin Kondo problem for the case when n2S, where n is the number of conduction-electron scattering channels.

AB - We introduce a new method of replacing spin operators with pseudofermions. For a spin value S there are 2S pseudofermions each of which can have spin up or down. In contrast to the standard Abrikosov method which has 2S+1 inequivalent fermions, i.e., one for each Sz value, the present pairs are all equivalent. It follows that the general spin expression is obtained by multiplying the S=(1/2 result by a ceratin combinational factor. This aids in the construction of rotationally invariant solutions for the general-spin Kondo problem for the case when n2S, where n is the number of conduction-electron scattering channels.

UR - http://www.scopus.com/inward/record.url?scp=35949013869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949013869&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.37.2220

DO - 10.1103/PhysRevB.37.2220

M3 - Article

AN - SCOPUS:35949013869

VL - 37

SP - 2220

EP - 2222

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 4

ER -