Chiral spin-orbital liquids with nodal lines

Abstract

Strongly correlated materials with strong spin-orbit coupling hold promise for realizing topological phases with fractionalized excitations. Here we propose a chiral spin-orbital liquid as a stable phase of a realistic model for heavy-element double perovskites. This spin liquid state has Majorana fermion excitations with a gapless spectrum characterized by nodal lines along the edges of the Brillouin zone. We show that the nodal lines are topological defects of a non-Abelian Berry connection and that the system exhibits dispersing surface states. We discuss some experimental signatures of this state and compare them with properties of the spin liquid candidate Ba_2YMoO_6.

5 pages + supplementary material

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Cited by in corpus (36)

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• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• 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
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Orbital and spin order in spin-orbit coupled $d^1$ and $d^2$ double perovskites
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• An Exact Chiral Amorphous Spin Liquid
• Dynamics of a j=3/2 quantum spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Vibronic order and emergent magnetism in cubic $d^1$ double perovskites
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Quasimolecular $J_{\mathrm{tet}}$=3/2 moments in the cluster Mott insulator GaTa${}_4$Se${}_8$
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Topological Phase Transition in Layered XIn${}_2$P${}_2$ (X = Ca, Sr)
• Spin Transport in Quantum Spin-Orbital Liquids
• Spin-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Unconventional Gross-Neveu quantum criticality: Interaction-induced SO(3)-biadjoint insulator and emergent SU(3) symmetry
• Magnetic and Electronic Properties of Spin-Orbit Coupled Dirac Electrons on a $(001)$ Thin Film of Double Perovskite Sr${}_2$FeMoO${}_6$
• Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• 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${}_8$
• Exact results relating spin-orbit interactions in two dimensional strongly correlated systems
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field