3D Modulated Spin Liquid model applied to URu${}_2$Si${}_2$

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 $T_0\approx 17.5$ K. This second order transition is well described by our model confirming our earlier hypothesis. The symmetry of the modulation is minimized for $\mathbf{Q}\equiv (1,1,1)$. We assume a linear variation of the interaction parameters with the lattice spacing and our results show good agreement with uniaxial and pressure experiments.