Li Yuan, Wan Qi, Peng Yingzi, Wang Guanqing, Qian Zhenghong, Zhou Guanghui, Jalil Mansoor B A
Department of Physics, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China.
Center for Integrated Spintronic Devices (CISD), Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China.
Sci Rep. 2015 Dec 18;5:18458. doi: 10.1038/srep18458.
We investigate Klein tunneling in graphene heterojunctions under the influence of a perpendicular magnetic field via the non-equilibrium Green's function method. We find that the angular dependence of electron transmission is deflected sideways, resulting in the suppression of normally incident electrons and overall decrease in conductance. The off-normal symmetry axis of the transmission profile was analytically derived. Overall tunneling conductance decreases to almost zero regardless of the potential barrier height V0 when the magnetic field (B-field) exceeds a critical value, thus achieving effective confinement of Dirac fermions. The critical field occurs when the width of the magnetic field region matches the diameter of the cyclotron orbit. The potential barrier also induces distinct Fabry-Pérot fringe patterns, with a "constriction region" of low transmission when V0 is close to the Fermi energy. Application of B-field deflects the Fabry-Pérot interference pattern to an off-normal angle. Thus, the conductance of the graphene heterojunctions can be sharply modulated by adjusting the B-field strength and the potential barrier height relative to the Fermi energy.
我们通过非平衡格林函数方法研究了垂直磁场影响下石墨烯异质结中的克莱因隧穿。我们发现电子传输的角度依赖性发生侧向偏转,导致垂直入射电子受到抑制,电导整体下降。通过解析得出了传输分布的非垂直对称轴。当磁场(B场)超过临界值时,无论势垒高度V0如何,整体隧穿电导几乎降至零,从而实现了对狄拉克费米子的有效限制。当磁场区域的宽度与回旋轨道的直径匹配时,临界场出现。势垒还会诱导出明显的法布里-珀罗条纹图案,当V0接近费米能量时,会出现低传输的“收缩区域”。施加B场会将法布里-珀罗干涉图案偏转到非垂直角度。因此,通过相对于费米能量调整B场强度和势垒高度,可以显著调制石墨烯异质结的电导。