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arXiv 1801.05976cond-mat.str-el
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具有强粒子-空穴非对称性和窄禁带的轻度掺杂绝缘体中的反常--SmB $_6$的情况?

Anomalies in a slightly doped insulator with strong particle-hole asymmetry and narrow gap---the case for SmB$_6$?

Hridis K. Pal

摘要:

SmB $_6$是一种近藤绝缘体,近年来由于其自相矛盾的实验特征而受到了严格的审查:虽然一些量显示出绝缘行为,但其他量则指向金属状态。这导致了猜想,钐$_6$主机非平凡的激发在其体隙,并产生了几个理论的效果。原则上,存在另一种可能性:该系统是金属,但不寻常地具有金属和绝缘体的性质。受这种可能性的启发,我考虑了一个近藤绝缘体的极小模型--一个平带与抛物线带杂交--它是轻微的电子掺杂,即,化学势在导带中但靠近带边。通过计算的直流电导率,交流电导率,比热,量子振荡在唯象水平,我表明,这些数量表现出不寻常的行为,令人惊讶的是,定性与实验观察到的在钐$_6$。由于强粒子-空穴不对称性和模型中的窄间隙,化学势周围的能带曲率迅速变化,这是金属或绝缘体教科书中通常不会遇到的特征,是异常行为的核心。

英文摘要:

SmB$_6$, known to be a Kondo insulator, has received intense scrutiny in recent years due to its paradoxical experimental signatures: while some quantities show an insulating behavior, others point to a metallic state. This has led to the conjecture that SmB$_6$ hosts nontrivial excitations within its bulk gap, and has spawned several theories to that effect. In principle, there exists an alternative possibility: the system is a metal but unusually with both metal- and insulator-like properties. Inspired by this possibility, I consider a minimal model of a Kondo insulator---a flat band hybridized with a parabolic band---that is slightly electron doped, i.e., the chemical potential is in the conduction band but close to the band edge. By calculating the dc conductivity, ac conductivity, specific heat, and quantum oscillations at the phenomenological level, I show that these quantities exhibit unusual behaviors that are, surprisingly, qualitatively consistent with those observed experimentally in SmB$_6$. The rapid change of band curvature around the chemical potential arising from the strong particle-hole asymmetry and the narrow gap in the model, a feature not usually encountered in the textbook cases of metals or insulators, is at the heart of the unusual behaviors.

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