论文标题
浆果期对二维费米的非线性响应的影响
Effect of Berry Phase on Nonlinear Response of Two-dimensional Fermions
论文作者
论文摘要
我们开发了对二维（2D）费米的电场的非线性响应理论，其拓扑非平凡波函数为特征，其特征在于浆果相$φ_n=nπ，n = 1,2，... $。特别是，我们发现，由于在奇数$ n $上抑制反向散射，霍尔场诱导的电阻振荡源于弹性电子之间的弹性电子过渡，这在质量上与$ n $的弹性偏移在质量上与众不同：它们的幅度衰减与电场和极端差异，其幅度差异是一分位周期的相位偏移。该理论将石墨烯（$ n = 1 $）和石墨双层（$ n = 2 $）的案例与常规2D电子气体（$ n = 0 $）统一，并提出了一种在拓扑2D系统中进行反向散射的新方法。
We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase $Φ_n = n π, n = 1,2,...$. In particular, we find that owing to suppression of backscattering at odd $n$, Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even $n$: their amplitude decays with the electric field and their extrema are phase-shifted by a quarter cycle. The theory unifies the cases of graphene ($n = 1$) and graphite bilayer ($n = 2$) with the case of conventional 2D electron gas ($n = 0$) and suggests a new method to probe backscattering in topological 2D systems.
