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arXiv 1312.7601cond-mat.mes-hall
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介观Dirac系统电导量子化的条件--以石墨烯纳米收缩为例

Conditions for Conductance Quantization in Mesoscopic Dirac Systems on the Examples of Graphene Nanoconstrictions

Grzegorz Rut, Adam Rycerz

摘要:

利用Landauer-Büttiker方法,在介观极限下研究了石墨烯中Corbino盘无杂质截面的弹道输运.在线性响应机制中,电导以接近$4e^{2}/h$的整数倍的步长量化,但法布里-珀罗振荡被强烈抑制。对于小的开度角$θ\lesssimπ/3$和大的半径比$R_2/R_1\gtrsim{}10$,量子化出现。我们发现$n$第一个电导阶跃出现的条件可以写成$\sqrt{n}θ/π\ll{}1$ .还提供了与具有平行边缘的石墨烯纳米带的电导谱的简要比较。

英文摘要:

Ballistic transport through an impurity-free section of the Corbino disk in graphene is investigated by means of the Landauer-Büttiker formalism in the mesoscopic limit. In the linear-responce regime the conductance is quantized in steps close to integer multiples of $4e^{2}/h$, yet Fabry-Perot oscillations are strongly suppressed. The quantization arises for small opening angles $θ\lesssimπ/3$ and large radii ratios $R_2/R_1\gtrsim{}10$. We find that the condition for emergence of the $n$-th conductance step can be written as $\sqrt{n}θ/π\ll{}1$. A brief comparison with the conductance spectra of graphene nanoribbons with parallel edges is also provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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