Competing Orders in Strongly Correlated Systems: from Ordered Magnetism to Spin Liquid Phases.
BCT lattice, Antiferromagnetism, Spin Liquid, Hidden Order, Raman Scattering, Point Group Symmetry.
The main objective of this thesis is to investigate the competing ordered phases in the metallic heavy fermion compound URu2Si2, which displays a body-centered tetragonal lattice. We first provide a study case of the competition between antiferromagnetic (AF) and spin liquid (SL) phases. The antiferromagnetic state is study with spin-wave theory. Whereas the spin liquid analysis is carry out in an algebraic spin liquid representation. In the second part, we describe an effective theory for Raman scattering experiments at these particularly phases. We provide insight about the hidden order phase displayed by the heavy fermion compound URu2 Si2 .