In the field of quantum magnetism, geometrically frustrated lattices generally imply major difficulties in analytical and numerical studies. For very few particular topologies, however, it has been shown that the ground state, at least, can be calculated exactly as for the Majumdar–Ghosh model15 that solves the J ? J zigzag chain when J = 2J . In two dimensions, the Shastry–Sutherland model2 consisting of an orthogonal dimer network of spin S = 1/2 was developed to be exactly solvable.