Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet

Abstract

Using the density-matrix renormalization group, we determine the phase diagram of the spin 1/2 Heisenberg antiferromagnet on a honeycomb lattice with a nearest neighbor interaction J1 and a frustrating, next-neighbor exchange J2. As frustration increases, the ground state exhibits Neel, plaquette and dimer orders, with critical points at J2/J1 = 0.22 and 0.35. We observe that both the spin gap and the corresponding order parameters vanish continuously at both the critical points, indicating the presence of deconfined quantum criticality.

References in corpus (11)

• "Deconfined" quantum critical points
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• 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
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Effective models for gapped phases of strongly correlated quantum lattice models
• Plaquette-RVB state in the Frustrated Honeycomb Antiferromagnet

Cited by in corpus (94)

• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Néel to valence-bond solid transition on the honeycomb lattice: Evidence for deconfined criticality
• Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Real-Space Parallel Density Matrix Renormalization Group
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Interaction driven phases in the half-filled honeycomb lattice: an infinite density matrix renormalization group study
• Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study
• Numerical treatment of spin systems with unrestricted spin length $S$: A functional renormalization group study
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Thermal Hall effects in quantum magnets
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• Plaquette valence-bond solid in the square lattice J1-J2 antiferromagnet Heisenberg model: a bond operator approach
• Emergent honeycomb lattice in LiZn2Mo3O8
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Randomness-induced quantum spin liquid behavior in the s=1/2 random J1-J2 Heisenberg antiferromagnet on the honeycomb lattice
• Orbitally induced hierarchy of exchange interactions in zigzag antiferromagnetic state of honeycomb silver delafossite Ag3Co2SbO6
• Quantum phase diagram of the spin-$1$ $J_1-J_2$ Heisenberg model on the honeycomb lattice
• Quantum spin liquid in the semiclassical regime
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• SU(6) Heisenberg model on the honeycomb lattice: competition between plaquette and chiral order
• Quantum phase transitions in multileg spin ladders with ring exchange
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Role of quantum fluctuations on spin liquids and ordered phases in the Heisenberg model on the honeycomb lattice
• Valence-bond crystalline order in the $s=1/2$ $J_1$--$J_2$ model on the honeycomb lattice
• Wess-Zumino-Witten Terms in Graphene Landau Levels
• Frustrated Heisenberg antiferromagnet on the honeycomb lattice: Spin gap and low-energy parameters
• Conserved current correlators of conformal field theories in 2+1 dimensions
• Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice
• Kitaev Quantum Spin Liquids
• Spiral antiferromagnets beyond the spin-wave approximation: frustrated $XY$ and Heisenberg models in the honeycomb lattice
• Observation of plaquette fluctuations in the spin-1/2 honeycomb lattice
• Chiral spin density wave order on frustrated honeycomb and bilayer triangle lattice Hubbard model at half-filling
• Topological Magnon Bands and Unconventional Thermal Hall Effect on the Frustrated Honeycomb and Bilayer Triangular Lattice
• Phase diagram of a frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ $XXZ$ model on the honeycomb lattice
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Emergent spin-1 trimerized valence bond crystal in the spin-1/2 Heisenberg model on the star lattice
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• A frustrated honeycomb-bilayer Heisenberg antiferromagnet: The spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ model
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Non-Symmetry-Breaking Ground State of the S=1 Heisenberg Model on the Kagome lattice
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Nature of the phases in the frustrated XY model on the honeycomb lattice
• Ground-state phases of the spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet on the honeycomb lattice
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Dynamical properties of Néel and valence-bond phases in the $J_1-J_2$ model on the honeycomb lattice
• An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
• Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
• Symmetric spin liquids on the stuffed honeycomb lattice
• Deconfined criticality in bilayer graphene
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Spin dynamics and continuum spectra of the honeycomb J1-J2 antiferromagnetic Heisenberg model
• Vector boson excitations near deconfined quantum critical points
• Deconfined Quantum Critical Point: A Review of Progress
• Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12(NO3)
• Classical phase diagram of the stuffed honeycomb lattice
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Frustrated Heisenberg antiferromagnet on the honeycomb lattice with spin quantum number $s\ge 1$
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Self consistent study of the quantum phases in a frustrated antiferromagnet on the bilayer honeycomb lattice
• Comparing quantum fluctuations in the spin-$\frac{1}{2}$ and spin-$1$ XXZ Heisenberg models on square and honeycomb lattices
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Topologically different spin disorder phases of the J1-J2 Heisenberg model on the honeycomb lattice
• An effective field theory approach for the $S=3/2$ bilayer honeycomb antiferromagnet
• Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Double exchange, itinerant ferromagnetism and topological Hall effect in moiré heterobilayer
• Collinear antiferromagnetic phases of a frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ Heisenberg model on an $AA$-stacked bilayer honeycomb lattice
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Anomalous fractional quantization in the kagomelike Heisenberg ladder: Emergence of the effective spin-1 chain
• Ground state and magnetic transitions of the orthorhombic antiferromagnet CaCo${}_2$TeO${}_6$
• Exact staggered dimer ground state and its stability in a two-dimensional magnet
• Low-energy parameters and spin gap of a frustrated spin-$s$ Heisenberg antiferromagnet with $s\le \frac{3}{2}$ on the honeycomb lattice
• Global phase diagram of a spin-orbit-coupled Kondo lattice model on the honeycomb lattice
• Frustrated spin-$\frac{1}{2}$ Heisenberg magnet on an $AA$-stacked honeycomb bilayer: High-order study of the collinear magnetic phases of the $J_1$--$J_2$--$J_1^{\perp }$ model
• Field-Induced Magnon Decay, Magnon Shadows, and Roton-like Excitations in the Honeycomb Antiferromagnet YbBr${}_3$
• Transverse Magnetic Susceptibility of a Frustrated Spin-$\frac{1}{2}$ $J_1$--$J_2$--$J_1^{\perp }$ Heisenberg Antiferromagnet on a Bilayer Honeycomb Lattice
• Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets
• Possible phases of the spin-$1/2$ $XXZ$ model on a honeycomb lattice by boson-vortex duality
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Quantum phase transitions in the Kitaev--Heisenberg model on a single hexagon
• Spiral spin liquid resilient to quantization in the frustrated honeycomb antiferromagnet GdZnPO
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions