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Reentrant spin glass state in the long-range magnetic order compound ${Er}_{2} {Cu}_{2} In$

Baidyanath Sahu^1,2, Ramesh Kumar ^2,3, R. Djoumessi Fobasso², Rishabh Shukla^4,*, Sindisiwe P. Xhakaza², and André M. Strydom ²

¹Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
²Highly Correlated Matter Research Group, Department of Physics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa
³Department of Electronics Physics, GITAM Institute of Science, GITAM Deemed to be University, Rushikonda, Visakhapatnam, Andhra Pradesh 530045, India
⁴Laboratory for High-Performance Ceramics, Swiss Federal Laboratories for Materials Science and Technology (Empa), Überlandstrasse 129, 8600 Dübendorf, Switzerland

^*Contact author: rishabh.shukla@empa.ch

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Phys. Rev. B 113, 134407 – Published 3 April, 2026

DOI: https://doi.org/10.1103/jqs4-hg41

Abstract

We have investigated the structural, magnetic, and transport characteristics of single-phase polycrystalline ${Er}_{2} {Cu}_{2} In$ . ${Er}_{2} {Cu}_{2} In$ adopts a tetragonal structure reminiscent of ${Mo}_{2} B_{2} Fe$ -type, with a space group of $P 4 / m b m$ (No. 127). Below a critical temperature ( $T_{C}$ ) of 41 K, we have confirmed long-range ferromagnetic (FM) ordering through dc magnetization, specific heat capacity, and electrical resistivity. The temperature-dependent ac-magnetic susceptibility under varying excitation frequencies and ac-driven fields has shown the existence of a spin glass state below the FM transition temperature. We have employed a combination of methods, including Vogel-Fulcher, Arrhenius activation, and critical-scaling approaches, to analyze the ac-magnetic susceptibility data and estimate the dynamical parameters governing spin dynamics in ${Er}_{2} {Cu}_{2} In$ . Furthermore, the magnetoresistance exhibits significant variations around the FM transition temperature, indicative of the rich and intricate magnetic behavior inherent to ${Er}_{2} {Cu}_{2} In$ .

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Phys. Rev. B 113, 134407– Published 3 April, 2026

Vol. 113, Iss. 13 — 1 April 2026

Received 8 June 2025
Revised 12 February 2026
Accepted 10 March 2026

DOI: https://doi.org/10.1103/jqs4-hg41

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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Reentrant spin glass state in the long-range magnetic order compound ${Er}_{2} {Cu}_{2} In$

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Reentrant spin glass state in the long-range magnetic order compound Er2Cu2In

Abstract

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (52)

Reentrant spin glass state in the long-range magnetic order compound ${Er}_{2} {Cu}_{2} In$