Dynamics of a j=3/2 quantum spin liquid

Abstract

We study a spin-orbital model for 4$d^1$ or 5$d^1$ Mott insulators in ordered double perovskites with strong spin-orbit coupling. This model is conveniently written in terms of pseudospin and pseudo-orbital operators representing multipoles of the effective $j=3/2$ angular momentum. Similarities between this model and the effective theories of Kitaev materials motivate the proposal of a chiral spin-orbital liquid with Majorana fermion excitations. The thermodynamic and spectroscopic properties of this quantum spin liquid are characterized using parton mean-field theory. The heat capacity, spin-lattice relaxation rate, and dynamic structure factor for inelastic neutron scattering are calculated and compared with the experimental data for the spin liquid candidate Ba${}_2$YMoO${}_6$. Moreover, based on a symmetry analysis, we discuss the operators involved in resonant inelastic X-ray scattering (RIXS) amplitudes for double perovskite compounds. In general, the RIXS cross sections allow one to selectively probe pseudospin and pseudo-orbital degrees of freedom. For the chiral spin-orbital liquid in particular, these cross sections provide information about the spectrum for different flavors of Majorana fermions.

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• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Spin-orbital-lattice entangled states in cubic $d^1$ double perovskites
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
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• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
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• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
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• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Jahn-Teller driven quadrupolar ordering and spin-orbital dimer formation in GaNb${}_4$Se${}_8$
• Magnetic behavior of the $5d^1$ Re-based double perovskite Sr${}_2$ZnReO${}_6$