分数量子化的Berry相位、绝热延拓和边缘态
Fractionally Quantized Berry Phase, Adiabatic Continuation, and Edge States
摘要：
对称性保护量子化的Berry相位进行了讨论的边缘状态。假设存在一些绝热过程，保护量子化的Berry相位，非平凡的Berry相位$γ=\pm 2πρ$（$ρ$是一个局部填充粒子）的散装建议外观的边缘状态的边界。我们将这种一般性的考虑应用于某些二维无质量Dirac费米子模型的Bloch态，其中$γ=\pmπ/2$表示边缘态。计算了模型的纠缠熵，并讨论了纠缠熵与狄拉克费米子体边对应的关系。
英文摘要：
Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $γ=\pm 2πρ$ ($ρ$ is a local filling of particles) for the bulk suggests appearance of edge states with boundaries. We have applied this generic consideration for Bloch states of some two dimensional model with massless Dirac fermions where $γ=\pmπ/2$ implies the edge states. Entanglement entropy is evaluated for the models and its relation to the bulk-edge correspondence of Dirac fermions is discussed as well.
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