Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction

Abstract

The Kitaev model is a remarkable spin model with gapped and gapless spin liquid phases, which are potentially realized in iridates and $\alpha$-RuCl${}_3$. In the recent experiment of $\alpha$-RuCl${}_3$, the signature of a nematic transition to the gapped toric code phase, which breaks the $C_3$ symmetry of the system, has been observed through the angle dependence of the heat capacity. We here propose a mechanism by which the nematic transition can be detected electrically. This is seemingly impossible because $J_{\text{eff}}=1/2$ spins do not have an electric quadrupole moment (EQM). However, in the second-order perturbation the virtual state with a nonzero EQM appears, which makes the nematic order parameter detectable by nuclear magnetic resonance and Mössbauer spectroscopy. The purely magnetic origin of EQM is different from conventional electronic nematic phases, allowing the direct detection of the realization of Kitaev's toric error-correction code.

arXiv comment6 + 4 pages, 2 + 3 figures

References in corpus (37)

• 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
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• $\alpha$-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
• Spin-lattice coupling in frustrated antiferromagnets
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• The Flux-Phase of the Half-Filled Band
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Electronic Orbital Currents and Polarization in Mott Insulators
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Theory of the field-revealed Kitaev spin liquid
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• Designing Kitaev spin liquids in metal-organic frameworks
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Crystalline Kitaev spin liquids
• Resonant inelastic x-ray scattering study of $\alpha$-RuCl${}_3$: a progress report
• Anderson-Kitaev spin liquid
• Spin-Orbital-Intertwined Nematic State in FeSe
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Majorana-Hubbard model on the honeycomb lattice
• Theory of electronic magnetoelectric coupling in $d^5$ Mott insulators
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Nematic transition and highly two-dimensional superconductivity in BaTi${}_2$Bi${}_2$O revealed by ${}^{209}$Bi-nuclear magnetic resonance/nuclear quadrupole resonance measurements

Cited by in corpus (5)

• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Electric polarization near vortices in the extended Kitaev model