The interaction between a positive muon and multiple quadrupolar nuclei

A positively charged muon implanted in copper sits at an octahedral interstitial site and experiences a magnetic dipolar coupling with six nearest-neighbour quadrupolar <i>I</i> = 3/2 copper nuclei. The resulting avoided level crossing resonance observed as a function of magnetic field p...

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Bibliographic Details
Main Authors: Bentley, NP, Blundell, SJ
Format: Conference item
Language:English
Published: IOP Publishing 2023
Description
Summary:A positively charged muon implanted in copper sits at an octahedral interstitial site and experiences a magnetic dipolar coupling with six nearest-neighbour quadrupolar <i>I</i> = 3/2 copper nuclei. The resulting avoided level crossing resonance observed as a function of magnetic field provides a means of studying these interactions and understanding the effect of the electric-field gradient due to the muon acting on the quadrupolar nuclei. The effect is usually modelled by considering the interaction between the positive muon and a single copper nucleus, but the other five copper nuclei are equally important. By solving the problem in the full 2(2<i>I</i> + 1)<sup>6</sup> = 8192-dimensional Hilbert space, we demonstrate the effect of these additional interactions.