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From the square lattice to the checkerboard lattice: Spin-wave and large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>limit analysis
Within a spin wave analysis and a fermionic large-$n$ limit, it is shown that the antiferromagnetic Heisenberg model on the checkerboard lattice may have different ground states, depending on the spin size S. Through an additional exchange interaction that corresponds to an intertetrahedra coupling, the stability of the N\'eel state …