%0 Journal Article %T 3D Modulated Spin Liquid model applied to URu$_2$Si$_2$ %A Christopher Thomas %A S¨¦bastien Burdin %A Catherine P¨¦pin %A Alvaro Ferraz %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevB.87.014422 %X We have developed a 3D version for the Modulated Spin Liquid in a body-centered tetragonal lattice structure to describe the hidden order observed in URu$_2$Si$_2$ at $T_0\approx17.5$ K. This second order transition is well described by our model confirming our earlier hypothesis. The symmetry of the modulation is minimized for ${\bf Q}\equiv(1,1,1)$. We assume a linear variation of the interaction parameters with the lattice spacing and our results show good agreement with uniaxial and pressure experiments. %U http://arxiv.org/abs/1206.5778v1