Kinetic frustration via t' on a square-triangular lattice destabilizes the Nagaoka ferromagnet and drives a quantum phase transition to a spiral spin-density wave that connects to the Haerter-Shastry antiferromagnet.
Tasaki, Extension of Nagaoka’s theorem on the large-U Hub- bard model, Physical Review B 40, 9192 (1989)
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Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
Kinetic frustration via t' on a square-triangular lattice destabilizes the Nagaoka ferromagnet and drives a quantum phase transition to a spiral spin-density wave that connects to the Haerter-Shastry antiferromagnet.