Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice

Abstract

Within the linear flavor-wave theory, we show that, caused by quantum order-by-disorder mechanism, the spin-1 bilinear-biquadratic Heisenberg model defined on a honeycomb lattice can spontaneously develop a columnar dimer order with a non-bipartite structure. The low-lying excitations above this novel ground state form several flat bands separated by nonzero energy gaps. Our results suggest that the quantum phase transition separating this dimerized phase with the nearby Néel-order one may be of first order.

4+ pages, 2 figures

References in corpus (12)

• "Deconfined" quantum critical points
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
• String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
• Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain

Cited by in corpus (10)

• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Highly frustrated magnetism in relativistic ${\mathbf{d}}^4$ Mott insulators: Bosonic analog of Kitaev honeycomb model
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Spin-one bilinear-biquadratic model on a star lattice
• Hysteresis behaviors of a spin-1 anisotropic Heisenberg model
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Stability of three-sublattice order in S=1 bilinear-biquadratic Heisenberg Model on anisotropic triangular lattices