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Electric field control of the indirect magnetic coupling through a short graphene nanoribbon

机译：通过短石墨烯纳米带的间接磁耦合的电场控制

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摘要

In this paper we consider the system composed of two magnetic planes attached to zigzag terminations of the graphene nanostructure being an ultrashort fragment of the armchair nanoribbon. We investigate theoretically an indirect coupling between these magnetic planes mediated by charge carriers as a function of an external in-plane electric field. The calculations are based on a tight-binding model supplemented with a Hubbard term to account for Coulombic interactions. For selected sizes of the graphene nanostructure, particularly high sensitivity of the coupling to the electric field is found. This leads to the possibility of control over coupling magnitude and continuous switching of its sign between an antiferromagnetic and a ferromagnetic one. Such a phenomenon is demonstrated in the numerical results and its origin is analyzed. The robustness of this effect against armchair edge deformation and variation of exchange energy between magnetic planes and spins of charge carriers is discussed in a detailed way.
机译：在本文中，我们认为该系统由附着在石墨烯纳米结构的锯齿形末端的两个磁平面组成，是扶手椅纳米带的超短片段。从理论上讲，我们研究了由电荷载流子介导的这些磁性平面之间的间接耦合，该耦合是外部平面内电场的函数。该计算基于紧密结合的模型，该模型附加有Hubbard项以说明库仑相互作用。对于所选尺寸的石墨烯纳米结构，发现对电场的耦合的灵敏度特别高。这导致控制耦合幅度并在反铁磁和铁磁之间连续切换其符号的可能性。数值结果证明了这种现象，并分析了其起源。详细讨论了这种效应对扶手椅边缘变形以及磁性平面和电荷载体的自旋之间的交换能量变化的鲁棒性。

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