Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
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Kitaev 模型在金刚石晶格上的 3D 推广的纠缠
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
T. Hughes
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文献类型：
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作者：
Ian Mondragon;T. Hughes
我们研究了Ryu(2009 Phys.)提出的Kitaev蜂窝模型的三维推广的纠缠性质。B修订本79 075124)。这个模型中的纠缠熵分离为Z2规范场和跳跃Majorana费米子系统的贡献，类似于Kitaev模型中的情况。这种分离使得利用非相互作用费米子的工具系统地研究这个三维相互作用玻色子模型的纠缠成为可能。通过这种方法，我们发现拓扑纠缠熵完全来自Z2规范场，并且对于系统的所有相来说都是相同的。然而，在马约拉纳费米子的纠缠光谱中，有区别于该模型的不同拓扑阶段的不同之处。我们进一步指出，在Z2规范场中引入涡旋线的影响只会改变Majorana费米子的纠缠贡献。我们评估了这对纠缠的贡献，这种纠缠是由于被涡旋线捕获的无间隙马约拉纳模而产生的。
We study the entanglement properties of a 3D generalization of the Kitaev honeycomb model proposed by Ryu (2009 Phys. Rev. B 79 075124). The entanglement entropy in this model separates into a contribution from a Z2 gauge field and that of a system of hopping Majorana fermions, similar to what occurs in the Kitaev model. This separation enables the systematic study of the entanglement of this 3D interacting bosonic model by using the tools of non-interacting fermions. In this way, we find that the topological entanglement entropy comes exclusively from the Z2 gauge field and that it is the same for all of the phases of the system. There are differences, however, in the entanglement spectrum of the Majorana fermions that distinguish between the topologically distinct phases of the model. We further point out that the effect of introducing vortex lines in the Z2 gauge field will only change the entanglement contribution of the Majorana fermions. We evaluate this contribution to the entanglement which arises due to gapless Majorana modes that are trapped by the vortex lines.