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

C. W. J. Beenakker
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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.****

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C. W. J. Beenakker. 2017-12-06. Random-Matrix Theory of Quantum Size Effects on Nuclear Magnetic Resonance in Metal Particles. https://doi.org/10.1103/physrevb.50.15170

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