Vertex Corrections and the Korringa Ratio in Strongly Correlated Electron Materials

Details Vertex Corrections and the Korringa Ratio in Strongly Correlated Electron Materials Vertex Corrections and the Korringa Ratio in Strongly Correlated Electron Materials

2008-09-09

arxiv.org/abs/0809.1481v3

J. Phys.: Condens. Matter 21 (2009) 195601

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages. accepted for publication in J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/21/19/195601

We show that the Korringa ratio, associated with nuclear magnetic resonance in metals, is unity if vertex corrections for the dynamic spin susceptibility are negligible and the hyperfine coupling is momentum independent. In the absence of vertex corrections we also find a Korringa behaviour for $T_1$, the nuclear spin relaxation rate, i.e., $1/T_1\propto T$, and a temperature independent Knight shift. These results are independent of the form and magnitude of the self-energy (so far as is consistent with neglecting vertex corrections) and of the dimensionality of the system.

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