Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$

Abstract

Inelastic neutron scattering reveals a broad continuum of excitations in Pr${}_2$Zr${}_2$O${}_7$, the temperature and magnetic field dependence of which indicate a continuous distribution of quenched transverse fields ($\Delta$) acting on the non-Kramers Pr${}^{3+}$ crystal field ground state doublets. Spin-ice correlations are apparent within 0.2 meV of the Zeeman energy. A random phase approximation provides an excellent account of the data with a transverse field distribution $\rho (\Delta )\propto ({\Delta }^2+{\Gamma }^2{)}^{-1}$ where $\Gamma =0.27(1)$ meV. Established during high temperature synthesis due to an underlying structural instability, it appears disorder in Pr${}_2$Zr${}_2$O${}_7$ actually induces a quantum spin liquid.

arXiv comment5 pages, 4 figures

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