Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection

Abstract

Thermalisation is a probabilistic process. As such, it is generally expected that when we increase the temperature of a system its classical behaviour dominates its quantum coherences. By employing the Gibbs state of a translationally invariant quantum spin liquid - Kitaev's honeycomb lattice model - we demonstrate that an insulating phase at $T=0$ becomes metallic purely by increasing temperature. In particular, we compute the finite temperature distribution of energies and show that it diverges logarithmically, as we move to small energies. The corresponding wave functions become critical alike as at Anderson transitions. These characteristics are obtained within a new exact Monte Carlo method that simulates the finite temperature behaviour of the Kitaev model. In particular, we take into account the projection onto the physical parity sectors, required for identifying the topological degeneracy of the model. Our work opens the possibility to detect thermal metal behaviour in spin liquid experiments.

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References in corpus (43)

• Anyons in an exactly solved model and beyond
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Anderson Transitions
• Quantum Spin Liquids
• Search for Majorana fermions in superconductors
• Parallel Tempering: Theory, Applications, and New Perspectives
• 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
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Models and Materials for Generalized Kitaev Magnetism
• A Field Guide to Spin Liquids
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Disorder-Free Localization
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Vaporization of Kitaev spin liquids
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Dynamics of Fractionalization in Quantum Spin Liquids
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Thermal metal in network models of a disordered two-dimensional superconductor
• Physical solutions of the Kitaev honeycomb model
• Multifractality: generic property of eigenstates of 2D disordered metals.
• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Scaling law for topologically ordered systems at finite temperature
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
• Perturbed vortex lattices and the stability of nucleated topological phases
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Thermodynamics of Chiral Spin Liquids with Abelian and Non-Abelian Anyons
• Non-Abelian statistics as a Berry phase in exactly solvable models
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Effect of thermal fluctuations in topological p-wave superconductors

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• An Exact Chiral Amorphous Spin Liquid
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
• Geometric description of the Kitaev honeycomb lattice model
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• An exactly solvable dissipative spin liquid
• Emergent quantum Majorana metal from a chiral spin liquid
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• Quasicrystalline Spin Liquid
• Genuine topological Anderson insulator from impurity induced chirality reversal