Restricted Boltzmann machine representation for the groundstate and excited states of Kitaev Honeycomb model

Magnetic impurities in the honeycomb Kitaev model

We study the effect of coupling magnetic impurities to the honeycomb lattice spin-1/2 Kitaev model in its spin liquid phase. We show that a spin-S impurity coupled to the Kitaev model is associated with an unusual Kondo effect with an intermediate coupling unstable fixed point K_c J/S separating topologically distinct sectors of the Kitaev model. We also show that the massless spinons in the spin liquid mediate an interaction of the form S_{iα}^{2}S_{jβ}^{2}/R_{ij}^{3} between distant impurities unlike the usual dipolar RKKY interaction S_{iα}S_{jα}/R_{ij}^{3} noted in various 2D impurity prob…

Monte Carlo study of degenerate groundstates and residual entropy in a frustrated honeycomb lattice Ising model

We study a classical fully-frustrated honeycomb lattice Ising model using Markov chain Monte Carlo methods and exact calculations . The Hamiltonian realizes a degenerate ground state manifold of equal-energy states, where each hexagonal plaquette of the lattice has one and only one frustrated bond, with an extensive residual entropy that grows as the number of spins N. Traditional single-spin flip Monte Carlo methods fail to sample all possible spin configurations in this ground state efficiently, due to their separation by large energy barriers. We develop a non-local "chain-flip" algorithm t…

蜂窝Kitaev-$Γ$模型中的自旋双螺旋缠结

Tangle of Spin Double Helices in the Honeycomb Kitaev-$Γ$ Model

结合经典与量子模拟，研究蜂窝Kitaev-$Γ$模型基态，发现具有18个不等价螺旋轴的自旋双螺旋缠结结构，并在量子自旋1/2模型中验证了该多体序特征，丰富了Kitaev磁性物理。

凯拉维蜂窝模型中具有晶格缺陷的手性自旋液体不稳定性

Chiral spin liquid instability of the Kitaev honeycomb model with crystallographic defects

研究了存在石墨烯型局部晶格缺陷的凯拉维蜂窝模型中自旋1/2无能隙自旋液体的行为，发现有限缺陷密度可引发相变，产生非阿贝尔手性量子自旋液体，具有标量自旋手性和电子轨道磁化峰。

Site dilution in Kitaev's honeycomb model

We study the physical consequences of site dilution in Kitaev's honeycomb model, in both its gapped and gapless phases. We show that a vacancy binds a flux of the emergent $Z_2$ gauge field and induces a local moment. In the gapped phase this moment is free while in the gapless phase the susceptibility has the dependence $χ(h)\sim\ln(1/h)$ on field strength $h$. Vacancy moments have interactions that depend on their separation, their relative sublattice, and the phase of the model. Strikingly, in the gapless phase, two nearby vacancies on the same sublattice have a parametrically larger $χ(h)\…

Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium

Disorder-free localization has recently emerged as a mechanism for ergodicity breaking in homogeneous lattice gauge theories. In this work we show that this mechanism can lead to unconventional states of quantum matter as the absence of thermalization lifts constraints imposed by equilibrium statistical physics. 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. We find that the system exhibits a subballistic power-law entanglement gro…