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arXiv 1407.6286cond-mat.str-elcond-mat.mes-hall
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平带和长程库仑相互作用:导电还是绝缘?

Flat bands and long range Coulomb interactions: conducting or insulating?

Wolfgang Häusler

摘要:

无色散(平)电子带的电导特性进行了研究。由于载流子的“笼状”,这些能带通常在部分填充时是绝缘的,至少在非相互作用水平上是绝缘的。考虑到具体的例子$\mathcal{T}_3$ -晶格,我们研究长程库仑相互作用。一个非平凡的依赖于平带填充的电导率,表现出无穷多个零。在这些零点附近,电导率随载流子密度线性上升。在相邻的电导率为零之间的密度的一半,强烈增强的电导率预测,伴随着固-固相变。

英文摘要:

Dispersionless (flat) electronic bands are investigated regarding their conductance properties. Due to "caging" of carriers these bands are usually insulating at partial filling, at least on the non-interacting level. Considering the specific example of a $\mathcal{T}_3$--lattice we study long-range Coulomb interactions. A non-trivial dependence of the conductivity on flat band filling is obtained, exhibiting an infinite number of zeros. Near these zeros, the conductivity rises linearly with carrier density. At densities half way in between adjacent conductivity-zeros, strongly enhanced conductivity is predicted, accompanying a solid-solid phase transition.

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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