Broken symmetries and thermodynamic limit in quantum antiferromagnets

We study how the Néel order breaks the symmetries of the hamiltonian in quantum antiferromagnet. The construction of a quantum wave packet that mimics the classical groundstate implies the existence of an extensive number of states: 1) with an energy scale much smaller than the spin-waves excitations (magnons); 2) with well defined symmetries.For the case of the triangular lattice, we find that all necessary properties to obtain a Néel state are well verified, already on periodic samples as small as 21 spins. For this system, this is a new and strong evidence of Néel order in the thermodynamic limit.