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arXiv 1106.0215cond-mat.mes-hall
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相互作用分形网络中的多端磁输运:平均场研究

Multi-terminal magneto-transport in an interacting fractal network: a mean field study

Santanu K. Maiti, Arunava Chakrabarti

摘要:

利用平均场方法研究了Sierpinski垫片分形中相互作用电子的磁输运。我们计算了三端输运,研究了磁通量穿过平面垫片时的相互作用和第三引线引入的退相效应。为了完整性,我们还提供了在电子-电子相互作用的存在下的两端运输的结果。据观察,移相肯定会减少运输,而磁场产生连续的传输频谱信号的频带扩展本征态在这个非几何不变的分形结构。Hubbard相互作用和第三导程引入的退相在降低平均透射率方面发挥了作用,并打开了光谱中的间隙,但不能破坏光谱中的连续性。

英文摘要:

Magneto-transport of interacting electrons in a Sierpinski gasket fractal is studied within a mean field approach. We work out the three-terminal transport and study the interplay of the magnetic flux threading the planar gasket and the dephasing effect introduced by the third lead. For completeness we also provide results of the two-terminal transport in presence of electron-electron interaction. It is observed that dephasing definitely reduces the transport, while the magnetic field generates a continuum in the transmission spectrum signaling a band of extended eigenstates in this non-translationally invariant fractal structure. The Hubbard interaction and the dephasing introduced by the third lead play their parts in reducing the average transmission, and opens up gaps in the spectrum, but can not destroy the continuum in the spectrum.

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