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Averaging of the free induction decay from an ensemble of small spin clusters

  • Regular Article - Solid State and Materials
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Abstract

The current study considers analytical and numerical realization of the averaging procedure modeling the observable magnetization response from the regular diluted spin system. It consists with spin clusters having different sizes and similar geometry. There is a strong effect of the size distribution function on the total magnetization. While the diluted magnetic includes the clusters of close sizes, the transversal magnetization is the typical oscillating Abragam trial function. However, the large dispersion in size of local clusters leads to the monotonous behavior of the signal envelope. It decays exponentially in such a configuration. The analytical estimates and numerical simulation of the spin ensemble match each other.

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Acknowledgements

The author is grateful to Prof. V.K. Henner for constant attention to this work and valuable comments, and to Dr. A. Klots for providing a beta-version of the program code that implements a quantum-based numerical algorithm.

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Authors and Affiliations

  1. Perm State University, 15 Bukirev Str., 614990, Perm, Russia

    Kirill B. Tsiberkin

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  1. Kirill B. Tsiberkin
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The author solely performed all the analytical calculations, numerical simulations and illustration preparation. The basic numerical code has been optimized and extended by procedures of automatic generation of spin distributions and signal averaging.

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Correspondence to Kirill B. Tsiberkin.

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Tsiberkin, K.B. Averaging of the free induction decay from an ensemble of small spin clusters. Eur. Phys. J. B 96, 70 (2023). https://doi.org/10.1140/epjb/s10051-023-00546-7

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  • DOI: https://doi.org/10.1140/epjb/s10051-023-00546-7

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