论文标题
石墨烯状系统的RITUS功能,具有一阶相互交织的操作员生成的磁场
Ritus functions for graphene-like systems with magnetic fields generated by first-order intertwining operators
论文作者
论文摘要
在这项工作中,我们构建了浸入具有非平凡空间依赖性的外部静态磁场中的石墨烯状系统中的狄拉烯状系统的精确传播器。此类场曲线是在脱离更简单(种子)磁场示例的一阶超对称框架中生成的。在非平凡的磁场背景中对应于dirac fermion渐近状态的概述,将繁殖器跨越,但该磁场背景中仍然在动量空间中承认了一种简单的对角线形式。该策略扩大了可以以封闭形式表达费米亚传播器的磁场曲线数量。电荷和电流密度直接从相应的繁殖物中发现,并与其他方法得出的类似发现进行了比较。
In this work, we construct the exact propagator for Dirac fermions in graphene-like systems immersed in external static magnetic fields with non-trivial spatial dependence. Such field profiles are generated within a first-order supersymmetric framework departing from much simpler (seed) magnetic field examples. The propagator is spanned on the basis of the Ritus eigenfunctions, corresponding to the Dirac fermion asymptotic states in the non-trivial magnetic field background which nevertheless admits a simple diagonal form in momentum space. This strategy enlarges the number of magnetic field profiles in which the fermion propagator can be expressed in a closed-form. Electric charge and current densities are found directly from the corresponding propagator and compared against similar findings derived from other methods.