Abstract

The Kitaev quantum spin liquid epitomizes an entangled topological state, for which two flavors of fractionalized low-energy excitations are predicted: the itinerant Majorana fermion and the Z2 gauge flux. It was proposed recently that fingerprints of fractional excitations are encoded in the phonon spectra of Kitaev quantum spin liquids through a novel fractional-excitation-phonon coupling. Here, we detect anomalous phonon effects in α-RuCl3 using inelastic X-ray scattering with meV resolution. At high temperature, we discover interlaced optical phonons intercepting a transverse acoustic phonon between 3 and 7 meV. Upon decreasing temperature, the optical phonons display a large intensity enhancement near the Kitaev energy, JK~8 meV, that coincides with a giant acoustic phonon softening near the Z2 gauge flux energy scale. These phonon anomalies signify the coupling of phonon and Kitaev magnetic excitations in α-RuCl3 and demonstrates a proof-of-principle method to detect anomalous excitations in topological quantum materials.

Highlights

  • ResultsThe elastic contribution at ω = 0 was subtracted by fitting the IXS raw data in the entire energy window

  • The Kitaev quantum spin liquid epitomizes an entangled topological state, for which two flavors of fractionalized low-energy excitations are predicted: the itinerant Majorana fermion and the Z2 gauge flux

  • The coupling between phonons and fractional excitations, including spinons in one-dimensional magnets[1,2,3,12,13,14,15], and Majorana fermions (MFs) and Z2 gauge fluxes that are thought to exist in the Kitaev quantum spin liquids (QSL)[16,17,18,19,20,21,22,23,24,25], have remained elusive

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Summary

Results

The elastic contribution at ω = 0 was subtracted by fitting the IXS raw data in the entire energy window Two low-energy optical phonons, P1 and P2, are observed at the Brillouin zone center Γ2, corresponding to ω1 1⁄4 2:7 and ω2 1⁄4 7 meV, which are in good agreement with previous optical and neutron studies[19,40]. In α-RuCl3, JK is estimated to be 5–9 meV in the lowtemperature phase below 150 K4,17–25,30

80 K 10 K
E Acoustic phonon
Methods

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