Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model

Abstract

Using the density matrix renormalization group, we investigate the $S=1/2$ Heisenberg model on the honeycomb lattice with first- ($J_1$) and second-neighbor ($J_2$) interactions. We are able to study long open cylinders with widths up to 12 lattice spacings. For $J_2/J_1$ near 0.3, we find an apparently paramagnetic phase, bordered by an antiferromagnetic phase for $J_2\lesssim 0.26$ and by a valence bond crystal for $J_2\gtrsim 0.36$. The longest correlation length that we find in this intermediate phase is for plaquette valence bond (PVB) order. This correlation length grows strongly with cylinder circumference, indicating either quantum criticality or weak PVB order.

arXiv comment9 pages, 15 figures, minor changes are made for publication in Phys. Rev. Lett

References in corpus (28)

• Scaling of Entanglement close to a Quantum Phase Transitions
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Identifying Topological Order by Entanglement Entropy
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Quantum Phase Transitions and Bipartite Entanglement
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Neel order in square and triangular lattice Heisenberg models
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• An investigation of the quantum $J_1-J_2-J_3$ model on the honeycomb lattice
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Two-site entropy and quantum phase transitions in low-dimensional models
• Nature of the spin liquid state of the Hubbard model on honeycomb lattice
• Magnetic order and paramagnetic phases in the quantum J1-J2-J3 honeycomb model
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
• Ground-state phase diagram of the quantum J1-J2 model on the honeycomb lattice
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Phase Diagram of the J1, J2, J3 Heisenberg Models on the Honeycomb Lattice: A Series Expansion Study
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Site dilution of quantum spins in the honeycomb lattice
• Effective models for gapped phases of strongly correlated quantum lattice models
• Quantum Phase Transitions around the Staggered Valence Bond Solid
• Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model
• Evidence of a spin liquid phase in the frustrated honeycomb lattice

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