Quantum Excitations in Quantum Spin Ice

Abstract

Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as “artificial magnetostatics,” manifesting as Coulombic power-law spin correlations and particles behaving as diffusive “magnetic monopoles.” In this paper, we address quantum spin ice, giving a unifying framework for the study of magnetism of a large class of magnetic compounds with the pyrochlore structure, and, in particular, discuss Yb_{2}Ti_{2}O_{7}, and extract its full set of Hamiltonian parameters from high-field inelastic neutron scattering experiments. We show that fluctuations in Yb_{2}Ti_{2}O_{7} are strong, and that the Hamiltonian may support a Coulombic “quantum spin liquid” ground state in low magnetic fields and host an unusual quantum critical point at larger fields. This appears consistent with puzzling features seen in prior experiments on Yb_{2}Ti_{2}O_{7}. Thus, Yb_{2}Ti_{2}O_{7} is the first quantum spin liquid candidate for which the Hamiltonian is quantitatively known.