二维棋盘晶格中手性-2费米子诱导的反Klein隧穿
Chirality-2 fermion induced anti-Klein tunneling in 2D checkerboard lattice
AI总结：
本文研究了二维棋盘晶格的量子隧穿效应，发现其手性为2的费米子可诱导反Klein隧穿，通过递归格林函数方法证实棋盘纳米管能实现完美开关比，可作为带通滤波器或隧穿场效应晶体管。
摘要：
研究了二维（2D）棋盘晶格中的量子隧穿效应。通过基于低能有效哈密顿量分析二维棋盘晶格中状态的赝自旋织构，我们发现该系统具有等于2的手性对称性。尽管与常规手性费米子相比，其赝自旋取向并非均匀变化。这表明完美反射手性隧穿（即反Klein隧穿）也有望出现在棋盘晶格中。为验证这一猜想，我们计算了透射概率，发现正常入射的电子态能被内部包含空穴态的势垒完美反射，反之亦然。此外，我们还利用递归格林函数方法数值计算了棋盘纳米管的隧穿电导。结果表明，通过将入射态能量限制在一定范围内，可以实现完美的开关比。这也表明，通过调节势垒，棋盘纳米管能够作为完美的“带通滤波器”或“隧穿场效应晶体管”，针对入射电子的赝自旋选择性地透射电子。
英文摘要：
The quantum tunneling effect in the two-dimensional (2D) checkerboard lattice is investigated. By analyzing the pseudospin texture of the states in a 2D checkerboard lattice based on the low-energy effective Hamiltonian, we find that this system has a chiral symmetry with chirality equal to 2. Although compared to regular chiral fermions, its pseudospin orientation does not vary uniformly. This suggests that the perfect reflection chiral tunneling, also known as the anti-Klein tunneling, is expected to appear in checkerboard lattice as well. In order to verify the conjecture, we calculate the transmission probability and find that normally incident electron states can be perfectly reflected by the barrier with hole states inside, and vice versa. Furthermore, we also numerically calculate the tunneling conductance of the checkerboard nanotube using the recursive Green's function method. The results show that a perfect on-off ratio can be achieved by confining the energy of the incident states within a certain range. It also suggests that, by tuning the barrier, the checkerboard nanotube is able to work as a perfect ``band filter" or ``tunneling field effect transistor", which transmits electrons selectively with respect to the pseudospin of the incident electrons.
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