Confinement transition in a Kitaev-like honeycomb model with bond anisotropy

Abstract

The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By partially projecting out Majorana states we are able to map the model onto a model of weakly coupled Ising chains in a transverse field. Within this mapping the ordered Ising phase corresponds to the condensation of $Z_2$ fluxes, or confinement. Our results may improve our understanding of the extensively studied spin liquid candidate material $\alpha$-RuCl${}_3$, where $K-\Gamma$ interactions are dominant.

arXiv comment5 pages, 3 figures

References in corpus (54)

• 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
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Models and Materials for Generalized Kitaev Magnetism
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• 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
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Robustness of a perturbed topological phase
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Topological Magnons in Kitaev Magnets at High Fields
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Observation of two types of anyons in the Kitaev honeycomb magnet
• 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
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Pressure-induced dimerization and valence bond crystal formation in the Kitaev-Heisenberg magnet alpha-RuCl3
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• Emergent Fermions and Anyons in the Kitaev Model
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Ultralow-temperature thermal conductivity of the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$ across the field-induced phase transition
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Raman evidence for dimerization and Mott collapse in $\alpha$-RuCl${}_3$ under pressures
• Field induced magnon excitation and in gap absorption of Kitaev candidate RuCl3
• Bilayer Kitaev models: Phase diagrams and novel phases
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Gauge field entanglement of Kitaev's honeycomb model

Cited by in corpus (6)

• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet