https://doi.org/10.1007/s100510050967
Flow equations and the Ruderman-Kittel-Kasuya-Yosida interaction
Institut für Theoretische Physik, Ruprecht-Karls-Universität,
Philosophenweg 19, 69120 Heidelberg, Germany
Corresponding author: a stein@tphys.uni-heidelberg.de
Received:
3
August
1999
Published online: 15 November 1999
The method of continuous unitary transformations is applied to
obtain the indirect exchange coupling between
local magnetic moments in an electron gas.
The derivation of the exact analytical expression for the resulting
Ruderman-Kittel-Kasuya-Yosida interaction is presented for general
dimensionality. In odd dimensions, the result can be shown explicitly
to exhibit universal 
oscillatory behaviour on all length scales.
PACS: 72.15.Qm – Scattering mechanisms and Kondo effect / 75.20.Hr – Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions / 05.30.Fk – Fermion systems and electron gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
