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

TL;DR

This paper introduces a three-dimensional Modulated Spin Liquid model tailored for URu$_2$Si$_2$, successfully explaining its hidden order transition at 17.5 K and aligning with experimental data.

Contribution

A novel 3D Modulated Spin Liquid model for URu$_2$Si$_2$ that captures the hidden order transition and its symmetry properties.

Findings

Model accurately describes the hidden order transition.

Symmetry of modulation minimized at Q=(1,1,1).

Results agree with uniaxial and pressure experiments.

Abstract

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.