Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production

TL;DR

This paper introduces a novel Raman scattering mechanism based on magnetoelastic coupling in non-Kramers ions, enabling the probing of emergent quantum electrodynamics phenomena in quantum spin ice through phonon linewidth analysis.

Contribution

It proposes using Raman scattering of phonons to detect and analyze emergent gauge fields and fractionalized excitations in quantum spin liquids, revealing symmetry fractionalization effects.

Findings

Raman linewidth broadening reflects the two-particle density of states of emergent excitations.

The mechanism can diagnose symmetry fractionalization and projective symmetry implementations.

The approach provides a new experimental tool for probing topological magnetic phases.

Abstract

We present a new mechanism for Raman scattering of phonons, which is based on the linear magnetoelastic coupling present in non-Kramers magnetic ions. This provides a direct coupling of Raman-active phonons to the magnet's quasiparticles. We propose to use this mechanism to probe the emergent magnetic monopoles, electric charges, and photons of the emergent quantum electrodynamics (eQED) of the U(1) quantum spin liquid known as quantum spin ice. Detecting this eQED in candidate rare-earth pyrochlore materials, or indeed signatures of topological magnetic phases more generally, is a challenging task. We show that the Raman scattering cross-section of the phonons directly yields relevant information, with the broadening of the phonon linewidth, which we compute, exhibiting a characteristic frequency dependence reflecting the two-particle density of states of the emergent excitations. Remarkably, we find that the Raman linewidth is sensitive to the details of the symmetry fractionalisation and hence can reveal information about the projective implementation of symmetry in the quantum spin liquid, thereby providing a diagnostic for a $\pi$-flux phase. The Raman scattering of the phonons thus provides a useful experimental tool to probe the fractionalisation in quantum spin liquids that turns out closely to mirror pair production in quantum electrodynamics and the deep inelastic scattering of quantum chromodynamics. Indeed, the difference to the latter is conceptual more than technical: the partons (quarks) emerge from the hadrons at high energies due to asymptotic freedom, while those in eQED arise from fractionalisation of the spins at low energies.