Random-Matrix Theory of Quantum Size Effects on Nuclear Magnetic Resonance in Metal Particles

Abstract

The distribution function of the local density of states is computed exactly for the Wigner-Dyson ensemble of random Hamiltonians. In the absence of time-reversal symmetry, precise agreement is obtained with the "supersymmetry" theory by Efetov and Prigodin of the NMR lineshape in disordered metal particles. Upon breaking time-reversal symmetry, the variance of the Knight shift in the smallest particles is reduced by a universal factor of 2/3. ***To be published in Physical Review B.****

4 pages, REVTeX-3.0, 1 postscript figure, INLO-PUB-940819; [2017: figure included in text]

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