Theory of NMR as a local probe for the electronic structure in the mixed state of the high-$T_c$ cuprates

Abstract

We argue that nuclear magnetic resonance experiments are a site-sensitive probe for the electronic spectrum in the mixed state of the high-$T_c$ cuprates. Within a spin-fermion model, we show that the Doppler-shifted electronic spectrum arising from the circulating supercurrent changes the low-frequency behavior of the imaginary part of the spin-susceptibility. For a hexagonal vortex lattice, we predict that these changes lead to {\it (a)} a unique dependence of the ${}^{63}$Cu spin lattice relaxation rate, $1/T_1$, on resonance frequency, and {\it (b)} a temperature dependence of $T_1$ which varies with frequency. We propose a nuclear quadrupole experiment to study the effects of a uniform supercurrent on the electronic structure and predict that $T_1$ varies with the direction of the supercurrent.

RevTex, 5 pages, 3 figures embedded in the text

References in corpus (3)

• Field dependence of the vortex structure in d-wave and s-wave superconductors
• Spin gap and magnetic coherence in a clean high-T_c superconductor
• Theory of vortex excitation imaging via an NMR relaxation measurement

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• Vortex State of Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$ via ${}^{205}$Tl NMR at 2 Tesla
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• Zeeman Perturbed ${}^{63}$Cu Nuclear Quadrupole Resonance Study of the Vortex State of YBa${}_2$Cu${}_3$O${}_{7-\delta }$