Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
arXiv:2402.12610 · doi:10.1103/PhysRevLett.133.146603
Abstract
We investigate the nature of the topological quantum phase transition between the gapless and gapped Kitaev quantum spin liquid phases away from the exactly solvable point. The transition is driven by anisotropy of the Kitaev couplings. At the critical point the two Dirac points of the gapless Majorana modes merge, resulting in the formation of a semi-Dirac point with quadratic and linear band touching directions. We derive an effective Gross-Neveu-Yukawa type field theory that describes the topological phase transition in the presence of additional magnetic interactions. We obtain the infrared scaling form of the propagator of the dynamical Ising order parameter field and perform a renormalization-group analysis. The universality of the transition is found to be different to that of symmetry-breaking phase transitions of semi-Dirac electrons. However, as in the electronic case, the Majorana fermions acquire an anomalous dimension, indicative of the breakdown of the fractionalized quasiparticle description.
arXiv comment5 pages, 4 figures, 1 table
References in corpus (38)
- Fault-tolerant quantum computation by anyons
- 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
- Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides IrO
- Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
- Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl
- -RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
- 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 waves and revised crystal structure of honeycomb iridate Na2IrO3
- A Field Guide to Spin Liquids
- Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
- Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal
- The Flux-Phase of the Half-Filled Band
- Merging of Dirac points in a two-dimensional crystal
- Hyper-honeycomb iridate -Li2IrO3 as a platform for Kitaev magnetism
- Measuring multipartite entanglement via dynamic susceptibilities
- Long range magnetic ordering in NaIrO
- A new spin-anisotropic harmonic honeycomb iridate
- A new magnetic field dependence of Landau levels on a graphene like structure
- Hunting Majorana Fermions in Kitaev Magnets
- Tight-binding modeling and low-energy behavior of the semi-Dirac point
- Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
- Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
- Quantum Phase Transition in Heisenberg-Kitaev Model
- Witnessing entanglement in quantum magnets using neutron scattering
- Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
- Dynamics of a quantum spin liquid beyond integrability the Kitaev-Heisenberg- model in an augmented parton mean-field theory
- Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
- Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
- Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
- Quantum Criticality of Semi-Dirac Fermions in 2+1 Dimensions
- Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
- Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
- Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
- Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact exponents
- Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids