Naderi F, Hasanirokh K
Young Researchers and Elite Club, Marand Branch, Islamic Azad University, Marand, Iran.
Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, 53714-161, Iran.
Sci Rep. 2024 Apr 2;14(1):7763. doi: 10.1038/s41598-024-57718-3.
In this work, we have studied the spin-dependent quantum transport of charged fermion on -dimensional spacetime, whose spatial part is described by a wormhole-type geometry in the presence of constant axial magnetic flux. Choosing the solutions of the Dirac equation associated with real energy and momentum, we explored the spin-dependent transmission probabilities and giant magnetoresistance (GMR) through a single layer of wormhole graphene with an external magnetic field, using the transition matrix (T-Matrix) approach. The spin-up and spin-down components within the A and B sublattices of graphene in the matrix of wave function are coupled to each other due to the wormhole structure and the magnetic field. We have found that transport properties strongly depend on the magnetic field, incident energy, and geometric parameters of the system. We observed that the transmission probability increases as the radius of the wormhole increases, and the length of the wormhole decreases. The higher energies lead to a decrease in the transmission probabilities of particles. Furthermore, we observed that the probability of the spin-flip effect is almost larger than that of the non-spin-flip effect, illustrating that electrons lose their spins during transmission. These findings highlight the complex and interesting behavior of wormhole graphene in the presence of external magnetic fields and suggest that these nano structures can have potential applications in electronic and spintronic devices.
在这项工作中，我们研究了带电费米子在 - 维时空上的自旋相关量子输运，其空间部分由存在恒定轴向磁通量时的虫洞型几何结构描述。通过选择与实能量和动量相关的狄拉克方程的解，我们使用跃迁矩阵（T 矩阵）方法，探索了通过具有外部磁场的单层虫洞石墨烯的自旋相关传输概率和巨磁阻（GMR）。由于虫洞结构和磁场，波函数矩阵中石墨烯 A 和 B 子晶格内的自旋向上和自旋向下分量相互耦合。我们发现输运性质强烈依赖于磁场、入射能量和系统的几何参数。我们观察到传输概率随着虫洞半径的增加和虫洞长度的减小而增加。较高的能量导致粒子传输概率降低。此外，我们观察到自旋翻转效应的概率几乎大于非自旋翻转效应的概率，这表明电子在传输过程中失去了自旋。这些发现突出了虫洞石墨烯在外部磁场存在下的复杂而有趣的行为，并表明这些纳米结构在电子和自旋电子器件中可能具有潜在应用。
