论文标题

在狄拉克材料的边界上看到多少个表面模式?

How many surface modes does one see on the boundary of a Dirac material?

论文作者

Kurkov, Maxim, Vassilevich, Dmitri

论文摘要

我们为$ 3+1 $尺寸的半空间的偏光张量的表面部分提供了完整的表达。我们将此张量与最终表面模式的极化张量进行了比较(这是$ 2+1 $尺寸的Dirac Fermion),并在HALL和正常部门的电导率上找到了基本差异。因此,在整个模型和表面模式的有效理论中,与边界附近电磁场的相互作用显着不同。

We present full expressions for the surface part of polarization tensor of a Dirac fermion confined in a half-space in $3+1$ dimensions. We compare this tensor to the polarization tensor of eventual surface mode (which is a $2+1$ dimensional Dirac fermion) and find essential differences in the conductivities in both Hall and normal sectors. Thus, the interaction with electromagnetic field near the boundary differs significantly in the full model and in the effective theory for the surface mode.

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