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arXiv 1807.01063cond-mat.mes-hall
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绝缘态的局部理论

Local theory of the insulating state

Antimo Marrazzo, Raffaele Resta

摘要:

绝缘体不同于金属,因为电子在其基态的组织不同。近年来,这一特征已被探索的几何性质:量子度量张量,它解决了系统作为一个整体,因此仅限于宏观均匀的样品。在这里,我们表明,一个类似的方法导致一个本地化标记,它可以检测到金属与绝缘字符的一个给定的样品区域使用作为唯一的成分的基态电子分布,即使在安德森的情况下(其中的频谱是无间隙的)。当应用到一个非零的陈不变量的绝缘体,我们的标记是能够区分的绝缘性质的散装从导电性质的边界。几个测试用例的模拟(包括模型哈密顿和第一原理)验证了我们的理论。

英文摘要:

An insulator differs from a metal because of a different organization of the electrons in their ground state. In recent years this feature has been probed by means of a geometrical property: the quantum metric tensor, which addresses the system as a whole, and is therefore limited to macroscopically homogenous samples. Here we show that an analogous approach leads to a localization marker, which can detect the metallic vs. insulating character of a given sample region using as sole ingredient the ground state electron distribution, even in the Anderson case (where the spectrum is gapless). When applied to an insulator with nonzero Chern invariant, our marker is capable of discriminating the insulating nature of the bulk from the conducting nature of the boundary. Simulations (both model-Hamiltonian and first-principle) on several test cases validate our theory.

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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