A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice

Abstract

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar and ferromagnetic regions. Furthermore, we describe all observed phases and discuss the nature of the phase transitions involved.

27 pages, 15 figures; v3: adjusted sections 1 and 3, and added a paragraph to section 5.2.2

References in corpus (14)

• "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
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Ultracold fermions and the SU(N) Hubbard model
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Spin-orbital quantum liquid on the honeycomb lattice
• Possible ferro-spin nematic order in NiGa2S4
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Probing the stability of the spin liquid phases in the Kitaev-Heisenberg model using tensor network algorithms
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field

Cited by in corpus (16)

• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Semi-classical simulation of spin-1 magnets
• Finding the ground state of a lattice gauge theory with fermionic tensor networks: a $2+1d$ ${\mathbb{Z}}_2$ demonstration
• TeNeS: Tensor Network Solver for Quantum Lattice Systems
• Phase diagrams and excitations of anisotropic $S=1$ quantum magnets on the triangular lattice
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Random insights into the complexity of two-dimensional tensor network calculations
• SU(4) topological RVB spin liquid on the square lattice
• Indirect K-edge bimagnon resonant inelastic X-ray scattering spectrum of $\alpha$-FeTe
• Accelerating two-dimensional tensor network contractions using QR decompositions
• Dynamically generated quadrupole polarization using Floquet adiabatic evolution
• Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet
• Fragility of the nematic spin liquid induced by diagonal couplings in the square-lattice SU(3) model