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arXiv 1907.02609cond-mat.supr-concond-mat.str-elgr-qc
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黑洞视界的固态特征:垂直Andreev反射

Perpendicular Andreev reflection: Solid state signature of black hole horizon

Z. Faraei, S. A. Jafari

摘要:

Beenakker注意到,二维固体中狄拉克费米子的特殊能带结构允许这些系统中的镜面Andreev反射,这在其他二维电子系统中没有类似物。固体状态下狄拉克方程的一个有趣的变形是使其倾斜,这已经在物质上实现了。在这项工作中,我们报告的Andreev反射在倾斜的二维狄拉克锥系统的另一个奇特的功能。狄拉克方程的倾斜变形由两个参数${\boldsymbolζ}=ζ(\cosθ,\sinθ)$表征。我们表明,当倾斜参数被调谐到它的“地平线值”$ζ=1$,无论电子的入射角,Andreev反射孔总是被反射{ \em垂直}的界面。此外,在水平值处,如果倾斜方向垂直于界面,则电导对于整个子带隙能量将是能量无关的。对于一般倾斜$\boldsymbolζ$,电导线形状的倾斜依赖性可用于提取关于倾斜的方向和幅度的信息。

英文摘要:

Beenakker noticed that the peculiar band structure of Dirac fermions in 2D solids allows for the specular Andreev reflection in these systems which has no analogue in other 2D electron systems. An interesting deformation of the Dirac equation in the solid state is to tilt it which has now materials realization. In this work we report another peculiar feature of the Andreev reflection in tilted 2D Dirac cone systems. The tilt deformation of the Dirac equation is characterized by two parameters ${\boldsymbolζ}=ζ(\cosθ,\sinθ)$. We show that when the tilt parameter is tuned to its "horizon value" $ζ=1$, irrespective of the incidence angle of electrons, the Andreev reflected hole is always reflected {\em perpendicular} to the interface. Furthermore at the horizon value, if the tilt direction is perpendicular to the interface, the conductance will be energy independent for the entire sub gap energies. For generic tilt $\boldsymbolζ$, the tilt dependence of the conductance line shape can be used to extract information about the direction and magnitude of the tilt.

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