Spin-Orbit Dimers and Non-Collinear Phases in $d^1$ Cubic Double Perovskites

Abstract

We formulate and study a spin-orbital model for a family of cubic double perovskites with $d^1$ ions occupying a frustrated fcc sublattice. A variational approach and a complimentary analytical analysis reveal a rich variety of phases emerging from the interplay of Hund's and spin-orbit couplings (SOC). The phase digram includes non-collinear ordered states, with or without net moment, and, remarkably, a large window of a non-magnetic disordered spin-orbit dimer phase. The present theory uncovers the physical origin of the unusual amorphous valence bond state experimentally suggested for Ba${}_{2}B$MoO${}_6$ ($B$=Y,Lu), and predicts possible ordered patterns in Ba${}_{2}B$OsO${}_6$ ($B$=Na,Li) compounds.

arXiv comment4 pages, 4 figures, supplement: 3 pages and 3 figures, to appear in PRL

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• Microscopic models for Kitaev's sixteenfold way of anyon theories
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• Detection of multipolar orders in the spin-orbit-entangled 5d Mott insulator Ba2MgReO6
• Ordering of hidden multipoles in spin-orbital entangled 5$d^1$ Ta chlorides
• Octupolar vs Néel Order in Cubic 5$d^2$ double perovskites
• Octupolar order in d-orbital Mott insulators
• 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
• Spin-orbital-lattice entangled states in cubic $d^1$ double perovskites
• 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
• Interplay between multipolar spin interactions, Jahn-Teller effect and electronic correlation in a $J_{eff}=\frac{3}{2}$ insulator
• Structural and metal-insulator transitions in rhenium based double perovskites via orbital ordering
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• Phase transition preceding magnetic long-range order in the double perovskite Ba2NaOsO6
• Dynamics of a j=3/2 quantum spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Phase transition in the 5d1 double perovskite Ba2CaReO6 induced by high magnetic field
• Octupolar order and Ising quantum criticality tuned by strain and dimensionality: Application to $d$-orbital Mott insulators
• Antiferromagnetic long-range order in $5d^1$ double-perovskite Sr${}_2$MgReO${}_6$
• Nature of Lattice Distortions in Cubic Double-Perovskite Ba${}_2$NaOsO${}_6$
• Vibronic order and emergent magnetism in cubic $d^1$ double perovskites
• Possible quadrupole order in tetragonal Ba2CdReO6 and chemical trend in the ground states of 5d1 double perovskites
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• First Principles calculations of the EFG tensors of Ba${}_2$NaOsO${}_6$, a Mott insulator with strong spin orbit coupling
• Quasimolecular $J_{\mathrm{tet}}$=3/2 moments in the cluster Mott insulator GaTa${}_4$Se${}_8$
• Multipolar exchange interaction and complex order in insulating lanthanides
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Effects of charge doping on Mott insulator with strong spin-orbit coupling, Ba${}_2$NaOsO${}_6$
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Multipolar interactions and magnetic excitation gap in d${}^3$ spin-orbit Mott insulators
• Bond Ordering and Molecular Spin-Orbital Fluctuations in the Cluster Mott Insulator GaTa${}_4$Se${}_8$
• Spin-orbit coupling in a half-filled $t_{2g}$ shell: the case of $5d^3$ K${}_2$ReCl${}_6$
• Unconventional Gross-Neveu quantum criticality: Interaction-induced SO(3)-biadjoint insulator and emergent SU(3) symmetry
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Magnetic and Electronic Properties of Spin-Orbit Coupled Dirac Electrons on a $(001)$ Thin Film of Double Perovskite Sr${}_2$FeMoO${}_6$
• 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
• Jahn-Teller driven quadrupolar ordering and spin-orbital dimer formation in GaNb${}_4$Se${}_8$