<p>Quantum antiferromagnets based on the square-kagome lattice are proving to be a fertile platform for realizing nontrivial phenomena in frustrated magnetism. Recently, several decorated square-kagome compounds of the nabokoite family have been synthesized, allowing for experimental exploration of model Hamiltonians. Here, we carry out a theoretical analysis of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43246_2025_806_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="138" /> </InlineMediaObject> <EquationSource Format="TEX">${{{\rm{KCu}}}}_{7}{{{\rm{TeO}}}}_{4}{({{{\rm{SO}}}}_{4})}_{5}{{\rm{Cl}}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="normal">KCu</mi> </mrow> <mrow> <mn>7</mn> </mrow> </msub> <msub> <mrow> <mi mathvariant="normal">TeO</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> <msub> <mrow> <mrow> <mo>(</mo> <mrow> <msub> <mrow> <mi mathvariant="normal">SO</mi> </mrow> <mrow> <mn>4</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>5</mn> </mrow> </msub> <mi mathvariant="normal">Cl</mi> </math></EquationSource> </InlineEquation> nabokoite using a Heisenberg Hamiltonian derived from density functional theory energy mapping. We employ classical Monte Carlo simulations to explain the two transitions experimentally observed in the low-temperature magnetization curve. Interestingly, the intermediate-field phase is also found in a purely two-dimensional model and is described by a spin liquid featuring subextensive degeneracy with a ferrimagnetic component. We show that this phase can be approximated by a checkerboard lattice in a magnetic field. Finally, we assess the effects of quantum fluctuations in zero fields using the pseudo-Majorana functional renormalization group method.</p><p></p>

Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite ${{{\rm{KCu}}}}_{7}{{{\rm{TeO}}}}_{4}{({{{\rm{SO}}}}_{4})}_{5}{{\rm{Cl}}}$

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2025年5月12日

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Matías G. Gonzalez,
Yasir Iqbal,
Johannes Reuther,
Harald O. Jeschke

摘要

Quantum antiferromagnets based on the square-kagome lattice are proving to be a fertile platform for realizing nontrivial phenomena in frustrated magnetism. Recently, several decorated square-kagome compounds of the nabokoite family have been synthesized, allowing for experimental exploration of model Hamiltonians. Here, we carry out a theoretical analysis of ${{{\rm{KCu}}}}_{7}{{{\rm{TeO}}}}_{4}{({{{\rm{SO}}}}_{4})}_{5}{{\rm{Cl}}}$ ${KCu}_{7} {TeO}_{4} {({SO}_{4})}_{5} Cl$ nabokoite using a Heisenberg Hamiltonian derived from density functional theory energy mapping. We employ classical Monte Carlo simulations to explain the two transitions experimentally observed in the low-temperature magnetization curve. Interestingly, the intermediate-field phase is also found in a purely two-dimensional model and is described by a spin liquid featuring subextensive degeneracy with a ferrimagnetic component. We show that this phase can be approximated by a checkerboard lattice in a magnetic field. Finally, we assess the effects of quantum fluctuations in zero fields using the pseudo-Majorana functional renormalization group method.

Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite \({{{\rm{KCu}}}}_{7}{{{\rm{TeO}}}}_{4}{({{{\rm{SO}}}}_{4})}_{5}{{\rm{Cl}}}\)

摘要