Incommensurate spin resonance in URu2Si2

Abstract

We focus on inelastic neutron scattering in $UR{u}_{2}S{i}_2$ and argue that observed gap in the fermion spectrum naturally leads to the spin feature observed at energies ${\omega }_{res}=4-6meV$ at momenta at $\bQ^* = (1\pm 0.4, 0,0)$. We discuss how spin features seen in $UR{u}_{2}S{i}_2$ can indeed be thought of in terms of {\em spin resonance} that develops in HO state and is {\em not related} to superconducting transition at 1.5K. In our analysis we assume that the HO gap is due to a particle-hole condensate that connects nested parts of the Fermi surface with nesting vector ${\mathbf{Q}}^{\ast }$. Within this approach we can predicted the behavior of the spin susceptibility at $\bQ^*$ and find it to be is strikingly similar to the phenomenology of resonance peaks in high-T${}_c$ and heavy fermion superconductors. The energy of the resonance peak scales with $T_{HO}$ ${\omega }_{res}\simeq 4k_B{T}_{HO}$. We discuss observable consequences spin resonance will have on neutron scattering and local density of states.

8 pgaes latex, 4 figs

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• Spin resonance in the d-wave superconductor CeCoIn5
• Gapped itinerant spin excitations account for missing entropy in the hidden order state of URu${}_2$Si${}_2$
• Superconductivity: Exotic Commonalities in Phase and Mode
• Energy-scale phenomenology and pairing via resonant spin-charge motion in FeAs, CuO, heavy-fermion and other exotic superconductors

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