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arXiv 1407.4482cond-mat.str-el
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近藤拓扑绝缘体强关联边界上的二维重费米子

Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators

Predrag Nikolić

摘要:

六硼化钐(SmB $_6$)是一种典型的近藤绝缘体,最近被认为是一种可能的拓扑绝缘体。它也是一种具有强电子相关性的材料,其带隙的温度依赖性和能量位于带隙内的几乎平坦的集体模式的存在是显而易见的。类似的强关联可以影响甚至破坏晶体边界处拓扑起源的二维金属态。本文构造了拓扑近藤绝缘体关联边界的最小晶格模型,并对其可能的基态进行了唯象预测。根据拓扑Kondo材料和传统绝缘体之间界面的微观性质,边界金属可以表现出稀土元素的$d$和$f$轨道之间不同程度的杂化,产生丰富的二维重费米子现象。$f$轨道的显著参与预计将产生重费米子狄拉克金属,可能对自旋密度波,电子局域化甚至超导性不稳定。在晶体边界上的部分近藤屏蔽的帮助下,“局部磁矩“的相反限制可以带来表现出二维量子电动力学或其他非常规状态的$d$电子的非费米液体。此外,由拓扑近藤绝缘体制成的超薄膜可以打开创造具有非阿贝尔分数激发的奇异不可压缩量子液体的可能性,其动力学由强Rashba自旋轨道耦合形成,类似于分数量子霍尔系统。

英文摘要:

Samarium hexaboride (SmB$_6$), a representative Kondo insulator, has been characterized recently as a likely topological insulator. It is also a material with strong electron correlations, evident by the temperature dependence of its bandgap and the existence of a nearly flat collective mode whose energy lies within the bandgap. Similar strong correlations can affect or even destabilize the two-dimensional metallic state of topological origin at the crystal boundary. Here we construct the minimal lattice model of the correlated boundary of topological Kondo insulators, and make phenomenological predictions for its possible ground states. Depending on the microscopic properties of the interface between the topological Kondo material and a conventional insulator, the boundary metal can exhibit a varied degree of hybridization between the $d$ and $f$ orbitals of the rare earth element, yielding a rich two-dimensional heavy fermion phenomenology. A pronounced participation of the $f$ orbitals is expected to create a heavy fermion Dirac metal, possibly unstable to a spin density wave, electron localization or even superconductivity. The opposite limit of "localized magnetic moments" helped by the partial Kondo screening on the crystal boundary can bring about a non-Fermi liquid of $d$ electrons that exhibits two-dimensional quantum electrodynamics, or other unconventional states. In addition, ultra-thin films made from topological Kondo insulators could open the possibility of creating exotic incompressible quantum liquids with non-Abelian fractional excitations, whose dynamics shaped by the strong Rashba spin-orbit coupling resembles that of fractional quantum Hall systems.

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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