## What is/are Kitaev Honeycomb?

Kitaev Honeycomb - In the sixth section, we describe the emergence of topologically non-trivial magnetic excitations in quantum antiferromagnets, focusing on eloquent examples such as fermionic spinons in kagom\'e lattices, Majorana fermions in Kitaev honeycomb lattices and magnetic monopole in pyrochlores.^{[1]}Apart from the quantization, the observed sign structure of the thermal Hall conductivity is also consistent with predictions from the exact solution of the Kitaev honeycomb model.

^{[2]}By defining the maximal violation of Bell inequalities, we calculate two kinds of transitions, the one is magnetic transition in the spin- 1 2 $\frac {1}{2}$ XX model and the other is topological transition in the Kitaev honeycomb model.

^{[3]}We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid states of the Kitaev honeycomb model with a magnetostriction coupling between spin and electric polarization.

^{[4]}The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions.

^{[5]}The Kitaev honeycomb model has been exploited to demonstrate and benchmark this new method.

^{[6]}Such a state appears to be the most promising candidate to describe the exotic field-induced behavior observed in numerical simulations of the antiferromagnetic Kitaev honeycomb model.

^{[7]}We study a Kitaev honeycomb model in a skew magnetic field subject to a quantum quench from a fully polarized initial product state and observe nonergodic dynamics as a consequence of disorder-free localization.

^{[8]}The celebrated Kitaev honeycomb model provides an analytically tractable example with an exact quantum spin liquid ground state.

^{[9]}Thermodynamics of the Kitaev honeycomb magnet $\alpha$-RuCl$_3$ is studied for different directions of in-plane magnetic field using measurements of the magnetic Gr\"uneisen parameter $\Gamma_B$ and specific heat $C$.

^{[10]}We consider an open system of the Kitaev honeycomb model generically coupled to an external environment.

^{[11]}Motivated by recent experiments on the Kitaev honeycomb magnet α-RuCl_{3}, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids.

^{[12]}In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $${\Bbb Z}_2$$Z2 quantum spin liquids.

^{[13]}As examples we discuss mechanical analogues of the Kitaev honeycomb model and of a second-order topological insulator with floppy corner modes.

^{[14]}We study the topological quantum phase transition in the 2-D Kitaev honeycomb model by making use of the square root of the quantum Jensen–Shannon divergence and find that the square root of the quantum Jensen–Shannon divergence exhibits singular behaviors at the critical point of quantum phase transition.

^{[15]}The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model.

^{[16]}For the Kitaev honeycomb model, we obtain the expression of the Majorana edge magnetization by relying on standard techniques to diagonalize a free fermion Hamiltonian.

^{[17]}The spin S=1/2 Kitaev honeycomb model has attracted significant attention since emerging candidate materials have provided a playground to test non-Abelian anyons.

^{[18]}The resulting behavior, which we term easy plane anisotropy, is entirely different from what is realized in previously explored Kitaev honeycomb lattices.

^{[19]}We report on magnetization M(H), dc and ac magnetic susceptibility χ(T), specific heat C_{m}(T) and muon spin relaxation (μSR) measurements of the Kitaev honeycomb iridate Cu_{2}IrO_{3} with quenched disorder.

^{[20]}In this Review, we give an overview of the three different classes of spin-liquid materials: (i) a one-dimensional spin chain system KCuF$_3$, (ii) a kagome antiferromagnet ZnCu$_3$(OH)$_6$Cl$_2$, and (iii) a Kitaev honeycomb material $\alpha$-RuCl$_3$.

^{[21]}We introduce an extension of the Kitaev honeycomb model by including four-spin interactions that preserve the local gauge structure and, hence, the integrability of the original model.

^{[22]}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 $H H_{c2}$.

^{[23]}We analyse the Kitaev honeycomb model, by means of the Berry curvature with respect to Hamiltonian parameters.

^{[24]}

## quantum spin liquid

The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions.^{[1]}The celebrated Kitaev honeycomb model provides an analytically tractable example with an exact quantum spin liquid ground state.

^{[2]}In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $${\Bbb Z}_2$$Z2 quantum spin liquids.

^{[3]}The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model.

^{[4]}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 $H H_{c2}$.

^{[5]}

## kitaev honeycomb model

Apart from the quantization, the observed sign structure of the thermal Hall conductivity is also consistent with predictions from the exact solution of the Kitaev honeycomb model.^{[1]}By defining the maximal violation of Bell inequalities, we calculate two kinds of transitions, the one is magnetic transition in the spin- 1 2 $\frac {1}{2}$ XX model and the other is topological transition in the Kitaev honeycomb model.

^{[2]}We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid states of the Kitaev honeycomb model with a magnetostriction coupling between spin and electric polarization.

^{[3]}The theoretical inception of the Kitaev honeycomb model has had defining influence on the experimental hunt for quantum spin liquids, bringing unprecedented focus onto the synthesis of materials with bond-directional interactions.

^{[4]}The Kitaev honeycomb model has been exploited to demonstrate and benchmark this new method.

^{[5]}Such a state appears to be the most promising candidate to describe the exotic field-induced behavior observed in numerical simulations of the antiferromagnetic Kitaev honeycomb model.

^{[6]}We study a Kitaev honeycomb model in a skew magnetic field subject to a quantum quench from a fully polarized initial product state and observe nonergodic dynamics as a consequence of disorder-free localization.

^{[7]}The celebrated Kitaev honeycomb model provides an analytically tractable example with an exact quantum spin liquid ground state.

^{[8]}We consider an open system of the Kitaev honeycomb model generically coupled to an external environment.

^{[9]}In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $${\Bbb Z}_2$$Z2 quantum spin liquids.

^{[10]}As examples we discuss mechanical analogues of the Kitaev honeycomb model and of a second-order topological insulator with floppy corner modes.

^{[11]}We study the topological quantum phase transition in the 2-D Kitaev honeycomb model by making use of the square root of the quantum Jensen–Shannon divergence and find that the square root of the quantum Jensen–Shannon divergence exhibits singular behaviors at the critical point of quantum phase transition.

^{[12]}The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model.

^{[13]}For the Kitaev honeycomb model, we obtain the expression of the Majorana edge magnetization by relying on standard techniques to diagonalize a free fermion Hamiltonian.

^{[14]}The spin S=1/2 Kitaev honeycomb model has attracted significant attention since emerging candidate materials have provided a playground to test non-Abelian anyons.

^{[15]}We introduce an extension of the Kitaev honeycomb model by including four-spin interactions that preserve the local gauge structure and, hence, the integrability of the original model.

^{[16]}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 $H H_{c2}$.

^{[17]}We analyse the Kitaev honeycomb model, by means of the Berry curvature with respect to Hamiltonian parameters.

^{[18]}

## kitaev honeycomb lattice

In the sixth section, we describe the emergence of topologically non-trivial magnetic excitations in quantum antiferromagnets, focusing on eloquent examples such as fermionic spinons in kagom\'e lattices, Majorana fermions in Kitaev honeycomb lattices and magnetic monopole in pyrochlores.^{[1]}The resulting behavior, which we term easy plane anisotropy, is entirely different from what is realized in previously explored Kitaev honeycomb lattices.

^{[2]}

## kitaev honeycomb magnet

Thermodynamics of the Kitaev honeycomb magnet $\alpha$-RuCl$_3$ is studied for different directions of in-plane magnetic field using measurements of the magnetic Gr\"uneisen parameter $\Gamma_B$ and specific heat $C$.^{[1]}Motivated by recent experiments on the Kitaev honeycomb magnet α-RuCl_{3}, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids.

^{[2]}