Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice

Abstract

We study the interplay of strong electron correlations and intra-triangle spin exchange at two-thirds filling of the single-orbital Hubbard model on the decorated honeycomb lattice using rotationally invariant slave bosons. We find that the spin exchange tunes between a spin-$1$ Mott insulator, a metal, and a spin-$0$ Mott insulator when the exchange is antiferromagnetic. The Mott insulators occur from effective intra-triangle multi-orbital interactions and are adiabatically connected to the ground state of an isolated triangle. An antiferromagnetic spin exchange, as determined by the Goodenough-Kanamori rules, may occur in coordination polymers from kinetic exchange via the ligands. We characterize the magnetism in the regime where spin-triplets dominate. For small $U$ a spin-$1$ Slater insulator occurs with antiferromagnetic order between triangles. Magnetism in the spin-$1$ Mott insulator is described by a spin-$1$ Heisenberg model on a honeycomb lattice, whose ground state is Néel ordered.

References in corpus (13)

• Strong electronic correlations from Hund's coupling
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice
• Equivalence of Gutzwiller and slave-boson mean-field theories for multi-band Hubbard models
• Gutzwiller description of non-magnetic Mott insulators: a dimer lattice model
• Multiple crossovers and coherent states in a Mott-Peierls insulator
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Quantum fluctuations beyond the Gutzwiller approximation
• Topological quantum phase transition driven by anisotropic spin-orbit coupling in trinuclear organometallic coordination crystals
• Unconventional superconductivity near a flat band in organic and organometallic materials
• The princess and the pea: on the outsized role of inter-layer ligands in copper-pyrazine antiferromagnets

Cited by in corpus (7)

• Frustrations on decorated planar lattices in Ising model
• Topological superconductivity from doping a triplet quantum spin liquid in a flat band system
• Bad topological semimetals in layered honeycomb compounds
• Frustrations on decorated triangular lattice in Ising model
• $C_3$ symmetry breaking metal-insulator transitions in a flat band in the half-filled Hubbard model on the decorated honeycomb lattice
• Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
• Persistent Haldane Phase in Carbon Tetris Chains