Charge density wave in hidden order state of URu$_2$Si$_2$

TL;DR

This paper predicts that the hidden order state in URu$_2$Si$_2$ induces a charge density wave with a specific modulation vector, using a Ginzburg-Landau theoretical framework to analyze its properties.

Contribution

It introduces a theoretical model linking the hidden order to a charge density wave in URu$_2$Si$_2$, predicting its modulation vector and temperature dependence.

Findings

Charge density wave has modulation vector twice that of hidden order.

The intensity and temperature dependence of the CDW are predicted.

Coupling constants influence the CDW behavior.

Abstract

We argue that the hidden order state in URu$_2$Si$_2$ will induce a charge density wave. The modulation vector of the charge density wave will be twice that of the hidden order state, $Q_{CDW} = 2Q_{HO}$. To illustrate how the charge density wave arises we use a Ginzburg-Landau theory that contains a coupling of the charge density wave amplitude to the square of the HO order parameter $\Delta_{HO}$. This simple analysis allows us to predict the intensity and temperature dependence of the charge density wave order parameter in terms of the susceptibilities and coupling constants used in the Ginzburg-Landau analysis.