论文标题

磁化石墨烯设备连续体的拓扑波

Topological waves in the continuum in magnetized graphene devices

论文作者

Ciobanu, A., Cosme, P., Terças, H.

论文摘要

我们表明,石墨烯设备中两个磁域之间的界面处的拓扑波是可能的。首先,我们考虑通道中应用的栅极电压和局部密度之间存在线性关系的情况,其次,我们研究了非本地库仑相互作用的效果。我们获得了每种相互作用类型的两种不同的边缘模式:具有旋转流和分散关系的Yanai模式,该模式延伸至无限波数,以及具有纯纵向流和结合分散关系的开尔文模式。应用散射矩阵概念来验证光谱的无限频率制度,如果考虑到与散装频带的假想切割的开尔文模式,则满足了散装对应原理。

We show that topological waves at the interface between two magnetic domains in a graphene device are possible. First, we consider the case of a linear relation between the applied gate voltage and local density in the channel and, secondly, we investigate the effect of non-local Coulomb interactions. We obtain two distinct edge modes for each interaction type: a Yanai mode with rotational flow and dispersion relation that extends to infinite wave-number, and a Kelvin mode with purely longitudinal flow and bound dispersion relation. The scattering matrix concept is applied to verify the infinite frequency regime of the spectrum, and the bulk-edge correspondence principle is satisfied if one takes into account the Kelvin modes that merge with an imaginary cut of the bulk band.

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