Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets

Abstract

We investigate spinon band topology and engineering from the interplay between long-ranged magnetic order and fractionalized spinons, as well as Zeeman coupling under external magnetic fields, in honeycomb lattice magnets. The synergism of Néel order and magnetic fields could reconstruct the spinon bands and drive a topological phase transition from the coexisting phase of long-ranged order and chiral spin liquid with semion topological order to the conventional magnetic order. Our prediction can be immediately tested through thermal Hall transport measurements among the honeycomb lattice magnets that are tuned to be proximate to the quantum critical point. Our theory should also shed light on the critical behavior of honeycomb Kitaev materials with emergent Majorana fermion bands. We suggest a possible relevance to the spin-1/2 honeycomb spin liquid candidate material In${}_3$Cu${}_2$VO${}_9$.

arXiv comment6 figures, may submit to a domestic journal of China, paper explanation is found https://gangchengroup-physics.weebly.com/paper-explanation.html

References in corpus (38)

• Quantum Spin Hall Effect in Graphene
• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Theory of Thermal Hall Effect in Quantum Magnets
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The thermal Hall effect of spin excitations in a Kagome magnet
• Experimental identification of quantum spin liquids
• Energy Magnetization and Thermal Hall Effect
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Nature of the spin liquid state of the Hubbard model on honeycomb lattice
• Thermal Hall Effect of Spins in a Paramagnet
• 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
• Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Ground-state phase diagram of the quantum J1-J2 model on the honeycomb lattice
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: $J_1$--$J_2$ model
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Enhanced thermal Hall effect in the square-lattice Néel state
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Magnetic properties in the doped spin-1/2 honeycomb-lattice compound In${}_3$Cu${}_2$VO${}_9$
• A Proposal to Use Neutron Scattering to Measure Scalar Spin Chirality Fluctuations in Kagome Lattices
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Topologically different spin disorder phases of the J1-J2 Heisenberg model on the honeycomb lattice

Cited by in corpus (4)

• Thermal Hall effects in quantum magnets
• Thermal Hall responses in frustrated honeycomb spin systems
• Topological Aspects of Antiferromagnets
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature