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arXiv 1702.06406cond-mat.str-elcond-mat.dis-nn
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非费米液体中的边缘态

Edge states in non-Fermi liquids

Igor V. Yurkevich

摘要:

我们设计了一种方法来计算通用运营商描述多通道Luttinger液体内的散射标度维数。本文研究了任意结构的导电和绝缘沟道中的局域杂质散射问题,并将问题归结为一个代数矩阵方程。特别是,这个方程的解决方案被发现由Luttinger液体模型描述的链的有限阵列。结果发现,对于一个弱的链间杂化和通道内电子-电子吸引力的边缘线是强大的对无序,而散装线,相反,成为绝缘。因此,边缘态可以存在于有限滑动的Luttinger液体中,而没有时间反演对称性破缺(量子霍尔系统)或自旋轨道相互作用(拓扑绝缘体)。

英文摘要:

We devise an approach to the calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in an arbitrary configuration of conducting and insulating channels is investigated and the problem is reduced to a single algebraic matrix equation. In particular, the solution to this equation is found for a finite array of chains described by Luttinger liquid models. It is found that for a weak inter-chain hybridisation and intra-channel electron-electron attraction the edge wires are robust against disorder whereas bulk wires, on contrary, become insulating. Thus, the edge state may exist in a finite sliding Luttinger liquid without time-reversal symmetry breaking (quantum Hall systems) or spin-orbit interaction (topological insulators).

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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