Divergence of the orbital nuclear magnetic relaxation rate in metals

Details Divergence of the orbital nuclear magnetic relaxation rate in metals Divergence of the orbital nuclear magnetic relaxation rate in metals

2006-05-16

arxiv.org/abs/cond-mat/0605420v4

Physics

Condensed Matter

Superconductivity

11pages; v4: The analysis of the normal state is more compelete now, including a comparison with other hyperfine interactions

Scientific paper

We analyze the nuclear magnetic relaxation rate $(1/T_1)_{orb}$ due to the coupling of nuclear spin to the orbital moment of itinerant electrons in metals. In the clean non--interacting case, contributions from large--distance current fluctuations add up to cause a divergence of $(1/T_1)_{orb}$. When impurity scattering is present, the elastic mean free time $\tau$ cuts off the divergence, and the magnitude of the effect at low temperatures is controlled by the parameter $\ln(\mu \tau)$, where $\mu$ is the chemical potential. The spin--dipolar hyperfine coupling, while has the same spatial variation $1/r^3$ as the orbital hyperfine coupling, does not produce a divergence in the nuclear magnetic relaxation rate.

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