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Frustrated antiferromagnetic honeycomb-tunnel-like lattice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Cu</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ge</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:mrow></mml:math>(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi>Pr</mml:mi></mml:mrow></mml:…
New frustrated antiferromagnetic compounds $\mathrm{Cu}{R}_{2}{\mathrm{Ge}}_{2}{\mathrm{O}}_{8}$ ($R=\mathrm{Pr}$, Nd, Sm, Eu) have been investigated using high-resolution x-ray diffraction, magnetic, and heat capacity measurements. These systems show different magnetic lattices depending on rare-earth element. The nonmagnetic Eu compound is a $S=1/2$ two-dimensional triangular antiferromagnetic lattice oriented in the $ac$ plane with geometrical frustration. …