arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1608.05976cond-mat.mes-hall
收藏

碳纳米管中应变和磁场诱导的拓扑跃迁和分数电荷

Topological transitions and fractional charges induced by strain and magnetic field in carbon nanotubes

Yonathan Efroni, Shahal Ilani, Erez Berg

摘要:

我们表明,碳纳米管(CNT)可以通过一个拓扑相变驱动使用应变或磁场。这可以自然地导致Jackiw-Rebbi孤子状态携带分馏电荷,类似于在Su-Schrieffer-Heeger模型中的畴壁中发现的那些,在具有空间非均匀应变和轴向场的设置中。在具有不同应变的区域之间的界面处可以形成两种类型的分数化状态:具有整数电荷和自旋零(或零电荷和自旋$\pm \hbar/2$)的自旋-电荷分离状态,以及具有电荷$\pm e/2$和自旋$\pm \hbar/4$的状态。后一种状态需要CNT中的自旋-轨道耦合。我们表明,在我们的设置中,精确的量子化的分形界面电荷的CNT的对称性下的空间旋转由$π$和时间反转的组合的后果。最后,我们评论了多体相互作用对这一现象的影响。

英文摘要:

We show that carbon nanotubes (CNT) can be driven through a topological phase transition using either strain or a magnetic field. This can naturally lead to Jackiw-Rebbi soliton states carrying fractionalized charges, similar to those found in a domain wall in the Su-Schrieffer-Heeger model, in a setup with a spatially inhomogeneous strain and an axial field. Two types of fractionalized states can be formed at the interface between regions with different strain: a spin-charge separated state with integer charge and spin zero (or zero charge and spin $\pm \hbar/2$), and a state with charge $\pm e/2$ and spin $\pm \hbar/4$. The latter state requires spin-orbit coupling in the CNT. We show that in our setup, the precise quantization of the fractionalized interface charges is a consequence of the symmetry of the CNT under a combination of a spatial rotation by $π$ and time reversal. Finally, we comment on the effects of many-body interaction on this phenomena.

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。

↑