Quantum disordered ground state and relative proximity to an exactly solvable model in the frustrated magnet CeMgAl$_{11}$O$_{19}$

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Main Authors: Bastien, G., Eliáš, A., Anderle, V., Kancko, A., Corrêa, C. A., Kumar, S., Proschek, P., Prokleška, J., Nádherný, L., Sedmidubský, D., Treu, T., Gegenwart, P., Kratochvílová, M., Žonda, M., Colman, R. H.
Format: Preprint
Published: 2025
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author Bastien, G.
Eliáš, A.
Anderle, V.
Kancko, A.
Corrêa, C. A.
Kumar, S.
Proschek, P.
Prokleška, J.
Nádherný, L.
Sedmidubský, D.
Treu, T.
Gegenwart, P.
Kratochvílová, M.
Žonda, M.
Colman, R. H.
author_facet Bastien, G.
Eliáš, A.
Anderle, V.
Kancko, A.
Corrêa, C. A.
Kumar, S.
Proschek, P.
Prokleška, J.
Nádherný, L.
Sedmidubský, D.
Treu, T.
Gegenwart, P.
Kratochvílová, M.
Žonda, M.
Colman, R. H.
contents The magnetic properties of the triangular magnet CeMgAl$_{11}$O$_{19}$ were investigated by magnetization and specific heat measurements down to $T=0.03\,$K on single crystals grown by the floating zone method. The formation of effective spins $S_\mathrm{eff}= 1/2$ below $T < 10$\,K was confirmed both by DFT calculations and specific heat measurements. No magnetic order was found down to $T=0.03\,$K despite the formation of magnetic correlations observed in specific heat. The measured magnetization was compared with DMRG computation and their agreement supports the proposal of a strongly anisotropic magnetic interaction antiferromagnetically coupling the spin components in the $ab$ plane and ferromagnetically coupling the spin component along the $c$ axis. However, our quantitative study of the magnetization indicates a weaker proximity to quantum criticality between ferromagnetism and antiferromagnetism than the previous inelastic neutron scattering study. Finally, we propose that the absence of magnetic order in CeMgAl$_{11}$O$_{19}$ would most probably be related to the structural disorder revealed by single-crystal X-ray diffraction.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16207
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum disordered ground state and relative proximity to an exactly solvable model in the frustrated magnet CeMgAl$_{11}$O$_{19}$
Bastien, G.
Eliáš, A.
Anderle, V.
Kancko, A.
Corrêa, C. A.
Kumar, S.
Proschek, P.
Prokleška, J.
Nádherný, L.
Sedmidubský, D.
Treu, T.
Gegenwart, P.
Kratochvílová, M.
Žonda, M.
Colman, R. H.
Strongly Correlated Electrons
The magnetic properties of the triangular magnet CeMgAl$_{11}$O$_{19}$ were investigated by magnetization and specific heat measurements down to $T=0.03\,$K on single crystals grown by the floating zone method. The formation of effective spins $S_\mathrm{eff}= 1/2$ below $T < 10$\,K was confirmed both by DFT calculations and specific heat measurements. No magnetic order was found down to $T=0.03\,$K despite the formation of magnetic correlations observed in specific heat. The measured magnetization was compared with DMRG computation and their agreement supports the proposal of a strongly anisotropic magnetic interaction antiferromagnetically coupling the spin components in the $ab$ plane and ferromagnetically coupling the spin component along the $c$ axis. However, our quantitative study of the magnetization indicates a weaker proximity to quantum criticality between ferromagnetism and antiferromagnetism than the previous inelastic neutron scattering study. Finally, we propose that the absence of magnetic order in CeMgAl$_{11}$O$_{19}$ would most probably be related to the structural disorder revealed by single-crystal X-ray diffraction.
title Quantum disordered ground state and relative proximity to an exactly solvable model in the frustrated magnet CeMgAl$_{11}$O$_{19}$
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2506.16207