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Breakdown of the Nagaoka phase in the two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mo>โ</mml:mo><mml:mi>J</mml:mi></mml:math>model
In the limit of weak exchange J at low hole concentration $\ensuremath{\delta}$ the ground state of the two-dimensional $t\ensuremath{-}J$ model is believed to be ferromagnetic. We study the leading instability of this Nagaoka state, which emerges with increasing J. Both exact diagonalization of small clusters, and a semiclassical analytical calculation โฆ