| Issue |
EPL
Volume 93, Number 5, March 2011
|
|
|---|---|---|
| Article Number | 57004 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/93/57004 | |
| Published online | 11 March 2011 | |
Generalized Schrieffer-Wolff transformation of the two-impurity Kondo model
1
Department of Applied Physics, Stanford University - Stanford, CA 94305, USA
2
IBM Research Division, Almaden Research Center - San Jose, CA 95120, USA
Received:
28
June
2010
Accepted:
8
February
2011
We have carried out a generalized Schrieffer-Wolff transformation of an Anderson two-impurity Hamiltonian to study the low-energy spin interactions of the system. The 2nd-order expansion yields the standard Kondo Hamiltonian for two impurities with additional scattering terms. At 4th order, we get the well-known RKKY interaction. In addition, we also find an antiferromagnetic superexchange coupling, and a previously undiscovered correlated Kondo coupling between the two impurities.
PACS: 75.30.Hx – Magnetic impurity interactions / 75.30.Et – Exchange and superexchange interactions / 72.15.Qm – Scattering mechanisms and Kondo effect
© EPLA, 2011
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