The phase diagram of the lattice Calogero-Sutherland model
  We introduce a {\it lattice} version of the Calogero Sutherland model adapted to describe $1/d^2$ pairwise interacting steps with discrete positions on a vicinal surface. The configurational free energy is obtained within a transfer matrix method. The full phase diagram for attractive and for repulsive interaction is deduced. For attraction, critical temperatures of faceting transitions are found to depend on step density. 
E. Le Goff (CEA/DSM/Drecam/Srsim), L. Barbier (CEA/DSM/Drecam/Srsim),   B. Salanon (CEA/DSM/Drecam/Srsim)