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arXiv 2003.05045cond-mat.mes-hall
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拓扑绝缘体理论模型中平衡边缘电流的缺失

Absence of equilibrium edge currents in theoretical models of topological insulators

Wei Chen

摘要:

二维和三维拓扑绝缘体(TI)的低能区表现出边缘态的传播,推测了平衡边缘电流或边缘自旋电流的存在。我们证明,如果TI的低能量部门是正规化在一个简单的方式到一个正方形或立方晶格,然后从边缘状态的电流实际上是完全抵消了从价带,呈现没有边缘电流。这一结果是一个警告,对于任何拓扑绝缘体的平衡性质,来自价带的贡献不应被忽视。在这些正则化晶格模型中,只有当边缘态的狄拉克点从化学势移开时,例如通过掺杂、杂质、边缘限制势、表面能带弯曲或栅极电压,才有有限的边缘电流。小量子点中的边缘电流作为栅极电压的函数被量子化,并且边缘电流可以流出栅极区域直到边缘态的衰减长度。

英文摘要:

The low energy sector of 2D and 3D topological insulators (TIs) exhibits propagating edge states, which has speculated the existence of equilibrium edge currents or edge spin currents. We demonstrate that if the low energy sector of TIs is regularized in a straightforward manner into a square or cubic lattice, then the current from the edge states is in fact canceled out exactly by that from the valence bands, rendering no edge current. This result serves as a warning that for any equilibrium property of topological insulators, the contribution from the valence bands should not be overlooked. In these regularized lattice model, there is a finite edge current only if the Dirac point of the edge states is shifted away from the chemical potential, for instance by doping, impurities, edge confining potential, surface band bending, or gate voltage. The edge current in small quantum dots as a function of the gate voltage is quantized, and the edge current can flow out of the gated region up to the decay length of the edge state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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