Crystallization to the square lattice for a two-body potential

Laurent Bétermin, Lucia De Luca, Mircea Petrache

We consider two-dimensional zero-temperature systems of $N$ particles to which we associate an energy of the form $$\mathcal{E}[V](X):=\sum _{1\le i<j\le N}V(|X(i)-X(j)|),$$ where…