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Frustrated Heisenberg antiferromagnet on the checkerboard lattice:<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:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>model
We study the zero-temperature ground-state (gs) phase diagram of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore (or crossed chain) model using the coupled cluster method (CCM). The model is equivalently described as a frustrated ${J}_{1}$-${J}_{2}$ antiferromagnet on the two-dimensional checkerboard lattice, with nearest-neighbor exchange bonds of strength ${J}_{1}>0$ and next-nearest-neighbor bonds of …