For two-dimensional Wigner crystals in moiré potentials, increasing potential strength makes two-particle antiferromagnetic ring exchange win over three-particle ferromagnetic exchange, with triangular critical strength 0.0033 and honeycomb critical strength 0.26.
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Magnetism from multiparticle ring exchange in moir\'e Wigner crystals
For two-dimensional Wigner crystals in moiré potentials, increasing potential strength makes two-particle antiferromagnetic ring exchange win over three-particle ferromagnetic exchange, with triangular critical strength 0.0033 and honeycomb critical strength 0.26.