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arXiv 1902.07975cond-mat.mes-hall
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量子霍尔区石墨烯$pn$结界面态的谷区同位旋

Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime

Luka Trifunovic, Piet W. Brouwer

摘要:

在存在交叉电场和磁场的情况下,石墨烯带具有沿着样品边缘以及沿着$p$掺杂区域和$n$掺杂区域之间的边界延伸的手性状态。在这里,我们考虑的边缘状态的散射到界面状态,这发生在任何地方的$pn$界面穿过样品边界,以及相反的过程。对于具有扶手椅边界的石墨烯带,边缘态到界面态和{ \em反之亦然}的演化由谷区同位旋守恒决定。虽然谷的同位旋是不保守的简化模型中的带状锯齿形边界,我们发现,参数的基础上的同位旋守恒可以应用到一个更现实的建模的石墨烯带,它考虑到电子-空穴简并度的提升。量子化磁场作用下石墨烯$pn$结的界面态的谷区同位旋是决定其电导的重要因素。

英文摘要:

In the presence of crossed electric and magnetic fields, a graphene ribbon has chiral states running along sample edges and along boundaries between $p$-doped and $n$-doped regions. We here consider the scattering of edge states into interface states, which takes place whereever the $pn$ interface crosses the sample boundary, as well as the reverse process. For a graphene ribbon with armchair boundaries, the evolution of edge states into interface states and {\em vice versa} is governed by the conservation of valley isospin. Although valley isospin is not conserved in simplified models of a ribbon with zigzag boundaries, we find that arguments based on isospin conservation can be applied to a more realistic modeling of the graphene ribbon, which takes account of the lifting of electron-hole degeneracy. The valley isospin of interface states is an important factor determining the conductance of a graphene $pn$ junction in a quantizing magnetic field.

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