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arXiv 0802.4360cond-mat.mes-hallcond-mat.mtrl-sci
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非均匀磁场中石墨烯的磁边缘态

Magnetic edge states in graphene in nonuniform magnetic fields

Sunghun Park, H. -S. Sim

摘要:

本文从理论上研究了空间非均匀磁场中xy平面上石墨烯片的电子性质,$B = B_0 \hat{z}$在一个畴内,$B = B_1 \hat{z}$在另一个畴内,在量子霍尔区和低能极限下的电子性质.我们发现沿着两个畴之间的边界形成的狄拉克费米子的磁边缘态具有强烈依赖于$B_0$与$B_1$是平行还是反平行的特征。在平行的情况下,当塞曼自旋分裂可以忽略,磁边缘状态起源于$n=0$朗道能级的两个域具有色散的能级,相反,从$n \ne 0$水平。这里,$n$是石墨烯朗道能级指数。当塞曼分裂变得有限或另外施加静电阶跃电位时,它们变得分散。在反平行的情况下,$n=0$磁边缘状态分裂成类电子和类空穴的载流状态。类电子态和类空穴态之间的能隙可以由塞曼分裂或阶跃势产生。这些特征归因于磁性边缘态的赝自旋与磁场方向耦合的事实。我们提出了一个Aharonov-Bohm干涉设置在石墨烯带的磁性边缘状态的实验研究。

英文摘要:

We theoretically study electronic properties of a graphene sheet on xy plane in a spatially nonuniform magnetic field, $B = B_0 \hat{z}$ in one domain and $B = B_1 \hat{z}$ in the other domain, in the quantum Hall regime and in the low-energy limit. We find that the magnetic edge states of the Dirac fermions, formed along the boundary between the two domains, have features strongly dependent on whether $B_0$ is parallel or antiparallel to $B_1$. In the parallel case, when the Zeeman spin splitting can be ignored, the magnetic edge states originating from the $n=0$ Landau levels of the two domains have dispersionless energy levels, contrary to those from the $n \ne 0$ levels. Here, $n$ is the graphene Landau-level index. They become dispersive as the Zeeman splitting becomes finite or as an electrostatic step potential is additionally applied. In the antiparallel case, the $n=0$ magnetic edge states split into electron-like and hole-like current-carrying states. The energy gap between the electron-like and hole-like states can be created by the Zeeman splitting or by the step potential. These features are attributed to the fact that the pseudo-spin of the magnetic edge states couples to the direction of the magnetic field. We propose an Aharonov-Bohm interferometry setup in a graphene ribbon for experimental study of the magnetic edge states.

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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