Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field

Abstract

We study the ground state properties of the $S=\frac{1}{2}$ staggered Heisenberg-$\Gamma$ honeycomb model under a magnetic field based on analytical and numerical methods. Our calculations show that the conventional zigzag and stripy phases are favored because of the staggered Heisenberg interaction away from the pure $\Gamma$ limit. In our classical analysis, we find that the field induces a series of competing magnetic phases with relatively large unit cells in the region sandwiched between the two magnetic phases with long-range ordering. In the quantum treatment, these large magnetic unit cells are destabilized by strong quantum fluctuations that result in the stabilization of a gapless quantum spin liquid behavior. In a honeycomb $\Gamma$ magnet, we disclose an intermediate-field gapless quantum spin liquid phase driven by a tilted field away from the out-of-plane direction only for a narrow region between the low-field zigzag and high-field fully polarized phases.

arXiv comment12 pages, 12 figures

References in corpus (54)

• Anyons in an exactly solved model and beyond
• Topological entanglement entropy
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Bose-Einstein Condensation in Magnetic Insulators
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Identifying Topological Order by Entanglement Entropy
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Spontaneous Magnon Decays
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Hunting Majorana Fermions in Kitaev Magnets
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet $\alpha$-RuCl${}_3$
• Microscopic study of spin-orbit-induced Mott insulator in Ir oxides
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Spin-orbit excitations and electronic structure of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• J${}_{eff}$ description of the honeycomb Mott insulator $\alpha$-RuCl${}_3$
• Pressure-induced dimerization and valence bond crystal formation in the Kitaev-Heisenberg magnet alpha-RuCl3
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Quantum Phase Transitions and Conserved Charges
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
• Two-step gap opening across the quantum critical point in a Kitaev honeycomb magnet
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Floquet engineering of Kitaev quantum magnets
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling