arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.07741cond-mat.mes-hallquant-ph
收藏

分形纳米线中电子的光谱特性

Spectral properties of electrons in fractal nanowires

Alberto Hernando, Miroslav Sulc, Jiri Vanicek

摘要:

鉴于分形纳米结构的应用前景,我们分析了Sierpinski地毯中量子粒子的光谱,并研究了这种几何结构中的非关联电子气。我们发现,光谱具有尺度不变性与几乎任意间距之间的能级,包括大的能隙在高能量。这些功能消失在类似的随机分形-其中安德森局域化占主导地位-并在规则的晶格大小相等的孔-其中只有两个长度尺度存在。分形结构放大了微观效应,导致即使在高温下也存在电子气的量子行为。我们的研究结果证明了分形纳米结构在任何频率下改善光-物质相互作用的潜力,并具有可能的应用,例如,在开发具有宽吸收光谱的太阳能电池、人工光合作用或具有定制费米能级和带隙的纳米材料、在宽频率范围内工作以及具有扩展的工作温度范围。

英文摘要:

In view of promising applications of fractal nanostructures, we analyze the spectra of quantum particles in the Sierpinski carpet and study the non-correlated electron gas in this geometry. We show that the spectrum exhibits scale invariance with almost arbitrary spacing between energy levels, including large energy gaps at high energies. These features disappear in the analogous random fractal---where Anderson localization dominates---and in the regular lattice of equally sized holes---where only two length scales are present. The fractal structure amplifies microscopic effects, resulting in the presence of quantum behavior of the electron gas even at high temperatures. Our results demonstrate the potential of fractal nanostructures to improve the light-matter interaction at any frequency, with possible applications, e.g., in the development of solar cells with a wide absorption spectrum, artificial photosynthesis, or nanometamaterials with tailored Fermi levels and band gaps, operating in a wide range of frequencies, and with extended operating temperature range.

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。

↑