Hybridization wave as the 'Hidden Order' in URu${}_2$Si${}_2$

Abstract

A phenomenological model for the 'hidden order' transition in the heavy Fermion material URu${}_2$Si${}_2$ is introduced. The 'hidden order' is identified as an incommensurate, momentum-carrying hybridization between the light hole band and the heavy electron band. This modulated hybridization appears after a Fano hybridization at higher temperatures takes place. We focus on the hybridization wave as the order parameter in URu${}_2$Si${}_2$ and possibly other materials with similar band structures. The model is qualitatively consistent with numerous experimental results obtained from e.g. neutron scattering and scanning tunneling microscopy. Specifically, we find a gap-like feature in the density of states and the appearance of features at an incommensurate vector $Q^{\ast }\sim 0.6\pi /a_0$. Finally, the model allows us to make various predictions which are amenable to current experiments.

4+ pages, 3 figures. Revised version, discussion on relation to LMAF state added, accepted to PRL

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