振荡电场中电子对产生的低维方法：应用于带隙石墨烯层
Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers
摘要：
研究了在外加电场作用下从量子场论基态产生粒子-反粒子对的问题。从四维时空中的量子动力学Boltzmann-Vlasov方程出发，通过空间紧化得到了低维的相应方程。我们在$2+1$ -维的结果被应用到带隙石墨烯层，其中的载流子具有像轻质量狄拉克费米子的行为的特定属性。我们计算的情况下的单粒子分布函数的电场振荡的时间，并表明，在这个凝聚态系统中的粒子-空穴对的创建非常类似的电子-正电子对生产的Schwinger效应。
英文摘要：
The production of particle-antiparticle pairs from the quantum field theoretic ground state in the presence of an external electric field is studied. Starting with the quantum kinetic Boltzmann-Vlasov equation in four-dimensional spacetime, we obtain the corresponding equations in lower dimensionalities by way of spatial compactification. Our outcomes in $2+1$-dimensions are applied to bandgap graphene layers, where the charge carriers have the particular property of behaving like light massive Dirac fermions. We calculate the single-particle distribution function for the case of an electric field oscillating in time and show that the creation of particle-hole pairs in this condensed matter system closely resembles electron-positron pair production by the Schwinger effect.
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