Emergent Berezinskii-Kosterlitz-Thouless and Kugel-Khomskii physics in the triangular lattice bilayer colbaltate

Abstract

Motivated by the experiments on the triangular lattice bilayer colbaltate K${}_2$Co${}_2$(SeO${}_3$)${}_3$, we formulate a theory to explore the underlying physics from a couple observation. The model is composed of interacting Co${}^{2+}$ dimers on the triangular lattice, where the Co${}^{2+}$ ion provides an effective spin-1/2 local moment via the spin-orbit coupling and the crystal field effect. The intra-dimer interaction is dominant and would simply favor the local spin singlet, and the inter-dimer interactions compete with the inter-dimer interaction, leading to rich behaviors. With the easy-axis anisotropy, it is shown that, in the ground state manifold of the intra-dimer Ising interaction, the system realizes an effective transverse field Ising model, where the ground state is either a three-sublattice order or Ising disordered. The finite temperature regime naturally realizes the Berezinskii-Kosterlitz-Thouless physics. To explore the full excitations, we incorporate the excited state manifold of the intra-dimer Ising interaction and establish the emergent Kugel-Khomskii physics. Thus, the triangular lattice bilayer colbaltate is an excellent platform to explore the interplay between geometrical frustration and anisotropic interactions as well as the emergent effective models and the resulting physics.

arXiv comment13 pages, 7 figures, small correction

References in corpus (27)

• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev quantum spin liquid - concept and materialization
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Ising models of quantum frustration
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Symmetry protected topological phases from decorated domain walls
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Frustrated quantum rare-earth pyrochlores
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Static and Dynamical Properties of the Spin-1/2 Equilateral Triangular-Lattice Antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Experimental Observation of Bethe Strings
• Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb${}_2$O${}_6$
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
• Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic field
• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Duality and domain wall dynamics in a twisted Kitaev chain
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Melting of three-sublattice order in easy-axis antiferromagnets on triangular and Kagome lattices
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Singular ferromagnetic susceptibility of the transverse-field Ising antiferromagnet on the triangular lattice
• Tomonaga-Luttinger liquid in quasi-one-dimensional antiferromagnet BaCo2V2O8 in magnetic fields
• Emergent transverse-field Ising model in ${\mathbf{d}}^4$ spin-orbit Mott insulators

Cited by in corpus (3)

• NMR evidence of spin supersolid and Pomeranchuk effect behaviors in the triangular-lattice antiferromagnet Rb${}_2$Ni${}_2$(SeO${}_3$)${}_3$
• Canted ferromagnetic order in a distorted triangular-lattice magnet Na${}_2$SrCo(VO${}_4$)${}_2$
• Exploring Low-Dimensional Magnetism in Cobalt Vanadates, $A$CoV${}_2$O${}_7$~($A$~=~Ca, Sr) : Crystal Growth and Magnetic Properties of Effective Spin-1/2 Zigzag Chains