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Autores principales: Huang, S. H. -Y., Petit, S., Yuan, Bo, Cronkwright, Z. W., Pinvidic, C., Wang, Y., Smith, E. M., Bhattacharya, S., Yang, C., Zanotti, J. -M., Berrod, Q., Stone, M. B., Kolesnikov, A. I., Cava, R. J., Kermarrec, E., Gaulin, B. D.
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2603.08934
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author Huang, S. H. -Y.
Petit, S.
Yuan, Bo
Cronkwright, Z. W.
Pinvidic, C.
Wang, Y.
Smith, E. M.
Bhattacharya, S.
Yang, C.
Zanotti, J. -M.
Berrod, Q.
Stone, M. B.
Kolesnikov, A. I.
Cava, R. J.
Kermarrec, E.
Gaulin, B. D.
author_facet Huang, S. H. -Y.
Petit, S.
Yuan, Bo
Cronkwright, Z. W.
Pinvidic, C.
Wang, Y.
Smith, E. M.
Bhattacharya, S.
Yang, C.
Zanotti, J. -M.
Berrod, Q.
Stone, M. B.
Kolesnikov, A. I.
Cava, R. J.
Kermarrec, E.
Gaulin, B. D.
contents ErMgGaO$_4$ is a quantum antiferromagnet wherein the pseudospin-1/2 degrees of freedom of Er$^{3+}$ decorate two-dimensional triangular planes separated by disordered non-magnetic bilayers of Mg$^{2+}$ and Ga$^{3+}$. Unlike its sister compound, YbMgGaO$_4$, our powder ErMgGaO$_4$ sample shows a clear spin glass transition near $T_g \sim 2.5$~K, about 1/6 of its Curie-Weiss temperature. We have carried out new inelastic neutron scattering measurements on these powder ErMgGaO$_4$ samples. At high energies, we observed crystalline electric field (CEF) transitions within the $J=15/2$ multiplet of Er$^{3+}$, but with the first excited CEF level sufficiently low in energy ($\sim$ 3~meV) so as to allow the possibility that virtual CEF transitions influence the exchange couplings. At E=0, we observe diffuse elastic scattering which is analysed using Warren lineshapes appropriate for two dimensional correlations. This reveals dominant 2D stripy correlations below $T_g$, coexisting with 2D 120$^\circ$-type correlations that persist above $T_g$. At low temperatures, the low energy inelastic component of the scattering shows a continuum with bandwidth of $\sim$ 0.8~meV. This dynamic magnetic spectral weight can be modeled at all $Q$, energies, and temperatures as the sum of high energy and low energy damped harmonic oscillators (DHO), with the high energy DHO defining the bandwidth of $\sim$ 0.8~meV. We use linear spin wave theory to model this inelastic scattering and to estimate its spin Hamiltonian parameters in terms of a $J_1-J_2-Δ$ model on the triangular lattice. This gives a good description of the low lying spectral weight for ErMgGaO4, and allows us to place it on the theoretical $J_1-J_2-Δ$ phase diagram with $\frac{J_1}{J_2}=0.13 \pm 0.03$ and $Δ=0.4 \pm 0.1$, which is close to the expected quantum phase boundary between the spin liquid and the stripy ordered phases.
format Preprint
id arxiv_https___arxiv_org_abs_2603_08934
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Proximate Spin Liquid Ground State Arising from Competing Stripy and 120$^{\circ}$ Spin Correlations in the Triangular Quantum Antiferromagnet ErMgGaO$_4$
Huang, S. H. -Y.
Petit, S.
Yuan, Bo
Cronkwright, Z. W.
Pinvidic, C.
Wang, Y.
Smith, E. M.
Bhattacharya, S.
Yang, C.
Zanotti, J. -M.
Berrod, Q.
Stone, M. B.
Kolesnikov, A. I.
Cava, R. J.
Kermarrec, E.
Gaulin, B. D.
Strongly Correlated Electrons
ErMgGaO$_4$ is a quantum antiferromagnet wherein the pseudospin-1/2 degrees of freedom of Er$^{3+}$ decorate two-dimensional triangular planes separated by disordered non-magnetic bilayers of Mg$^{2+}$ and Ga$^{3+}$. Unlike its sister compound, YbMgGaO$_4$, our powder ErMgGaO$_4$ sample shows a clear spin glass transition near $T_g \sim 2.5$~K, about 1/6 of its Curie-Weiss temperature. We have carried out new inelastic neutron scattering measurements on these powder ErMgGaO$_4$ samples. At high energies, we observed crystalline electric field (CEF) transitions within the $J=15/2$ multiplet of Er$^{3+}$, but with the first excited CEF level sufficiently low in energy ($\sim$ 3~meV) so as to allow the possibility that virtual CEF transitions influence the exchange couplings. At E=0, we observe diffuse elastic scattering which is analysed using Warren lineshapes appropriate for two dimensional correlations. This reveals dominant 2D stripy correlations below $T_g$, coexisting with 2D 120$^\circ$-type correlations that persist above $T_g$. At low temperatures, the low energy inelastic component of the scattering shows a continuum with bandwidth of $\sim$ 0.8~meV. This dynamic magnetic spectral weight can be modeled at all $Q$, energies, and temperatures as the sum of high energy and low energy damped harmonic oscillators (DHO), with the high energy DHO defining the bandwidth of $\sim$ 0.8~meV. We use linear spin wave theory to model this inelastic scattering and to estimate its spin Hamiltonian parameters in terms of a $J_1-J_2-Δ$ model on the triangular lattice. This gives a good description of the low lying spectral weight for ErMgGaO4, and allows us to place it on the theoretical $J_1-J_2-Δ$ phase diagram with $\frac{J_1}{J_2}=0.13 \pm 0.03$ and $Δ=0.4 \pm 0.1$, which is close to the expected quantum phase boundary between the spin liquid and the stripy ordered phases.
title Proximate Spin Liquid Ground State Arising from Competing Stripy and 120$^{\circ}$ Spin Correlations in the Triangular Quantum Antiferromagnet ErMgGaO$_4$
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2603.08934