Abstract
We prove a result on separation of particles in a two-dimensional Coulomb plasma, which holds provided that the inverse temperature \({\beta}\) satisfies \({\beta > 1}\). For large \({\beta}\), separation is obtained at the same scale as the conjectural Abrikosov lattice optimal separation.
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Ameur, Y. Repulsion in Low Temperature \({\beta}\)-Ensembles. Commun. Math. Phys. 359, 1079–1089 (2018). https://doi.org/10.1007/s00220-017-3027-2
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DOI: https://doi.org/10.1007/s00220-017-3027-2