Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field

Abstract

It is now well established that the Kitaev honeycomb model in a magnetic field along the $[111]$-direction harbors an intermediate gapless quantum spin liquid (QSL) phase sandwiched between a gapped non-abelian QSL at low fields $H<H_{c1}$ and a partially polarized phase at high fields $H>H_{c2}$. Here, we analyze the low field and high field phases and phase transitions in terms of single- and two-magnon excitations using exact diagonalization (ED) and density matrix renormalization group (DMRG) methods. We find that the energy to create a bound state of two-magnons ${\Delta }_p$ becomes lower than the energy to create a single spin flip ${\Delta }_s$ near $H_{c2}$. In the entire Kitaev spin liquid ${\Delta }_p<{\Delta }_s$ and both gaps vanish at $H_{c2}$. We make testable predictions for magnon pairing that could be observable in Raman scattering measurements on Kitaev QSL candidate materials.

References in corpus (32)

• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquid States
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Spin-lattice coupling in frustrated antiferromagnets
• Inelastic Light Scattering From Correlated Electrons
• Models and Materials for Generalized Kitaev Magnetism
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Spin Gaps in a Frustrated Heisenberg model for CaV${}_4$O${}_9$
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Topological Magnons in Kitaev Magnets at High Fields
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Ground State and Finite Temperature Lanczos Methods
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Topological excitations in the ferromagnetic Kitaev-Heisenberg model
• Kitaev Materials
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• The Density Matrix Renormalization Group for Strongly Correlated Electron Systems: A Generic Implementation
• Topological states and braiding statistics using quantum circuits
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Field induced quantum spin liquid with spinon Fermi surfaces in the Kitaev model
• Targeting Multiple States in the Density Matrix Renormalization Group with The Singular Value Decomposition

Cited by in corpus (12)

• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Novel chiral quantum spin liquids in Kitaev magnets
• Observation of 4- and 6-magnon bound-states in the spin-anisotropic frustrated antiferromagnet FeI${}_2$
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Instabilities of spin-1 Kitaev spin liquid phase in presence of single-ion anisotropies
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Machine learning reveals features of spinon Fermi surface
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy
• High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field