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arXiv 1508.03213cond-mat.str-el
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$Z_{2}$拓扑绝缘体磁电极化率的相互作用修正

Interaction Correction to the Magneto-Electric Polarizability of $Z_{2}$ Topological Insulators

Karin Everschor-Sitte, Matthias Sitte, Allan H. MacDonald

摘要:

当时间反演对称性弱破缺且忽略相互作用时,$Z_{2}$拓扑绝缘体的表面支持半量子化霍尔电导率$σ_{S} = e^{2}/(2h)$。绝缘体中的表面霍尔电导率等效于体磁电极化率,即等效于依赖于磁场的电荷极化。通过对表面近似为二维大质量Dirac模型,时间反演对称性被弱铁磁性破缺的情形进行显式计算,证明了对$σ_{S}$存在非普适相互作用修正.对于薄膜的相互作用校正的顶部和底部表面霍尔电导率取消,然而,这意味着没有校正磁掺杂拓扑绝缘体的量子化的反常霍尔效应。

英文摘要:

When time-reversal symmetry is weakly broken and interactions are neglected, the surface of a $Z_{2}$ topological insulator supports a half-quantized Hall conductivity $σ_{S} = e^{2}/(2h)$. A surface Hall conductivity in an insulator is equivalent to a bulk magneto-electric polarizability, i.e. to a magnetic field dependent charge polarization. By performing an explicit calculation for the case in which the surface is approximated by a two-dimensional massive Dirac model and time-reversal symmetry is broken by weak ferromagnetism in the bulk, we demonstrate that there is a non-universal interaction correction to $σ_{S}$. For thin films interaction corrections to the top and bottom surface Hall conductivities cancel, however, implying that there is no correction to the quantized anomalous Hall effect in magnetically doped topological insulators.

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