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Using the coupled-cluster method (CCM) and the rotation-invariant Green'sfunction method (RGM), we study the influence of the interlayer coupling$J_\perp$ on the magnetic ordering in the ground state of the spin-1/2$J_1$-$J_2$ frustrated Heisenberg antiferromagnet ($J_1$-$J_2$ model) on thestacked square lattice. In agreement with known results for the $J_1$-$J_2$model on the strictly two-dimensional square lattice ($J_\perp=0$) we find thatthe phases with magnetic long-range order at small $J_2< J_{c_1}$ and large$J_2> J_{c_2}$ are separated by a magnetically disordered (quantumparamagnetic) ground-state phase. Increasing the interlayer coupling$J_\perp>0$ the parameter region of this phase decreases, and, finally, thequantum paramagnetic phase disappears for quite small $J_\perp \sim 0.2 ... 0.3J_1$.Comment: 4 pages, 3 figure

physical review letters

Quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext mathvariant="normal">−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Antiferromagnet on a Stacked Square Lattice: Influence of the Interlayer Coupling on the Ground-State Magnetic Ordering

QuantumJ1−J2Antiferromagnet on a Stacked Square Lattice: Influence of the Interlayer Coupling on the Ground-State Magnetic Ordering