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Short-range spin correlations, memory and rejuvenation effects have been reported in the trication oxispinel ZnMnCoO4 whose low-temperature spin dynamics, triggered by magnetic frustration, could be better explained by the ‘phenomenological’ hierarchical free-energy model than the short-range droplet theory. Accordingly, the aging mechanism of the system had an asymmetric memory response to the positive and negative thermal cycles within the cluster-glass state (T < 32.6 K) and demonstrated a hierarchical organization of the phase space where its metastable energy states undergo continuous splitting with decreasing temperature. An attempt to reproduce the time evolution of the isothermal remanent magnetization in the system led to an investigation of various relaxation models featuring semi-logarithmic, algebraic, fractional or stretched-exponential tails. Nevertheless, Weron’s probabilistic relaxation model (here, the fractal character beta ~0.4, the hierarchical constraint k > 0, and the order parameter q(T~0.12T_SG) = 1.88 based on a purely stochastic approach, was best suited for understanding the slow spin dynamics of the cluster-glass phase in the entire temporal range. A comprehensive picture of the magnetic phase map was developed for the system, aided by magnetometry techniques and heat-capacity studies.

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• Creative Commons BY-NC-ND Attribution-NonCommercial-NoDerivs 4.0 International
  

  This is the Accepted Manuscript version of an article accepted for publication in Journal of Physics: Condensed Matter. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-648X/adb194.

Keyword: Spinel ZnMnCoO4, Non-equilibrium spin dynamics, Frustrated trication, Hierarchical free-energy framework

Date published: 2025-03-31

Publisher: IOP Publishing

Journal:

• Journal of Physics: Condensed Matter (ISSN: 09538984) vol. 37 issue. 13 135806

Funding:

• Vetenskapsrådet VR Grant No. 2021-03675
• Prime Minister’s Research Fellowship, Ministry of Education, Govt. of India PMRF ID: 1901274
• DST SERB Core Research Grant CRG/2022/006155
• UGC-DAE CSR CRS/2021-22/09/849
• NHMFL National Science Foundation Cooperative Agreement No. DMR-2128556 and the Stat
• FIST, DST, India, SR/FST/PSII- 020/2009

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.6023

First published URL: https://doi.org/10.1088/1361-648x/adb194

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Updated at: 2026-02-18 12:30:10 +0900

Published on MDR: 2026-02-18 09:29:35 +0900