Field-induced Kitaev multipolar liquid in spin-orbit coupled $d^2$ honeycomb Mott insulators

Abstract

The Kitaev model, characterized by bond-dependent Ising spin interactions among spin-orbit entangled dipole moments in Mott insulators, offered a new approach to quantum spin liquids. Motivated by another type of bond-dependent interaction among quadrupole moments in $5d^2$ Mott insulators, we provide a microscopic route to uncover the Kitaev multipolar liquid, featuring fractionalized excitations out of non-Kramers doublets carrying multipole moments. The key ingredient is the magnetic field that allows for bond-anisotropic quadrupole-octupole interactions via mixing with the excited triplet states. The conditions to realize signatures of this phase in real materials are also discussed.

arXiv commentmain text: 5 pages, 4 figures; supplementary material: 14 pages, 16 figures; journal edition

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• Update of $\mathcal{H}\Phi$: Newly added functions and methods in versions 2 and 3
• Electronic excitations in $5d^4$ J=0 Os${}^{4+}$ halides studied by RIXS and optical spectroscopy
• Spin-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• Electric field control of a quantum spin liquid in weak Mott insulators
• Fate of multipolar physics in $5d^2$ double perovskites
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Multipolar multiferroics in $4d^2$/$5d^2$ Mott insulators
• Emergence of quadrupolar order under magnetic field in $5d^2$ double perovskites
• Field-induced multipolar character in the dipolar ground state of the honeycomb rare-earth chalcohalide NdOF