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Ballistic transport in graphene beyond linear response

机译:石墨烯中的弹道传输超出线性响应

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The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than t_(nl)∝E~(1/2) current is linear in E and independent of time, for larger ballistic times the current increases after t_(nl) as J_∝E~(3/2)t and finally at yet larger times (t>t_B∝E~(-1)) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n∝E~(3/2) only on certain time segments with a prefactor different from that obtained using the asymptotic formula.
机译:除了线性响应以外,还定量描述了石墨烯中电场相干产生粒子-空穴激发的过程。我们使用紧束缚模型计算了电场E在弹道状态下电流密度,线对数和能量的演化。对于小于t_(nl)∝E〜(1/2)的弹道飞行时间,电流在E中是线性的并且与时间无关,而对于较大的弹道时间,电流在t_(nl)之后以J_∝E〜(3/2)的形式增加)t并最终在更大的时间(t> t_B∝E〜(-1))产生Bloch振荡。表明对数遵循Schwinger生成率n creationE〜(3/2)的二维概括)仅在某些时间段上的前置因子与使用渐近公式获得的因子不同。

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