Tuning the Chern number of Kitaev quantum spin liquid

Abstract

It is now well understood that non-Kitaev spin interactions can be added to the Kitaev quantum spin liquid by applying external fields. Recent years have seen intensive discussion on the possible phase transitions that these spin interactions induce. In this paper, we will show through the perturbation theory the possibility of accessing a gapped spin liquid phase with a higher Chern number through, in contrast to the cases studied in literature, a continuous phase transition. Such a transition may be induced by external tuning parameters such as electric field and hydrostatic pressure.

arXiv comment22 pages, 12 figures

References in corpus (45)

• Anyons in an exactly solved model and beyond
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• 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 Spin Liquids
• 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
• Kitaev quantum spin liquid - concept and materialization
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• A Field Guide to Spin Liquids
• 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
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Kitaev interactions between j=1/2 moments in honeycomb Na2IrO3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
• Orbital effects in solids: basics, recent progress and opportunities
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Electronic Orbital Currents and Polarization in Mott Insulators
• Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Weyl spin liquids
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Distant-Neighbor Hopping in Graphene and Haldane Models
• Toward Kitaev's sixteenfold way in a honeycomb lattice model
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Dirac point metamorphosis from third-neighbor couplings in graphene
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet $\alpha$-RuCl${}_3$
• Kitaev Quantum Spin Liquids
• Multinode quantum spin liquids on the honeycomb lattice
• Theory of electronic magnetoelectric coupling in $d^5$ Mott insulators
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
• Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures