Ground-state phase diagram of S = 1/2 Heisenberg model on 2D square-hexagon-octagon lattice

Abstract

Using stochastic series expansion quantum Monte Carlo and density matrix renormalization group methods, we investigate the ground-state phase diagram of the $S=1/2$ Heisenberg model on the two-dimensional square-hexagon-octagon (SHO) lattice. The model incorporates nearest-neighbor interactions $J_1$ (intrahexagon interaction) and $J_2$ (interhexagon), as well as a selected third-neighbor interaction $J_3$ along the $x$ direction. We identify five distinct phases in the parameter regime $0<{\lambda }_1=J_2/J_1<4,0<{\lambda }_2=J_3/J_1<4$: a Néel antiferromagentic phase, two dimer phases (orthogonal and ladder staggered dimers), a hexagon singlet phase, and notably a Haldane-like symmetry-protected topological (SPT) phase. The topological nature of the Haldane-like phase is confirmed by the degeneracy of the ground-state energy under open boundary conditions and the twofold degeneracy of the entanglement spectrum. Phase boundaries are accurately determined using finite-size scaling of the spin stiffness and Binder cumulant. Data collapse analysis reveals that all transitions from nonmagnetic phases to the antiferromagnetic phase belong to the three-dimensional $O(3)$ Heisenberg universality class. In addition, we investigate the robustness of the SPT phase to other interactions, such as those that could arise in experimental materials. Our work establishes a comprehensive theoretical framework for understanding magnetic and topological phases on the SHO lattice.

arXiv comment9 pages, 9 figures

References in corpus (29)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Entanglement spectrum of a topological phase in one dimension
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Quantum Monte Carlo with Directed Loops
• Computational Studies of Quantum Spin Systems
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis
• Bayesian Inference in the Scaling Analysis of Critical Phenomena
• Quantum dimer phases in a frustrated spin ladder: Effective field theory approach and exact diagonalization
• Surface critical behaviors of coupled Haldane chains
• Spin-liquid versus dimerized ground states in a frustrated Heisenberg antiferromagnet
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Kernel method for corrections to scaling
• Solving the puzzle of an unconventional phase transition for a 2d dimerized quantum Heisenberg model
• Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet
• Type-II Dirac points and Dirac nodal loops on the magnons of square-hexagon-octagon lattice
• Phase diagram and critical behavior of Hubbard model on the square-hexagon-octagon lattice
• Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain