Abstract.
The long-range forces between holes in an antiferromagnet are due to magnon exchange. The one-magnon exchange potential between two holes is proportional to cos(2 ϕ)/r 2 where r is the distance vector of the holes and ϕ is the angle between r and an axis of the square crystal lattice. One-magnon exchange leads to bound states of holes with antiparallel spins resembling d-wave symmetry.
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Brügger, C., Kämpfer, F., Pepe, M. et al. Magnon-mediated binding between holes in an antiferromagnet. Eur. Phys. J. B 53, 433–437 (2006). https://doi.org/10.1140/epjb/e2006-00398-y
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DOI: https://doi.org/10.1140/epjb/e2006-00398-y