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arXiv 0906.2363cond-mat.mes-hallcond-mat.str-el
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典型多终端装置中的非平衡输运

Out-of-equilibrium transport in a typical multi-terminal setup

Ines Safi

摘要:

我们发展了一个一般的平衡框架,一个典型的三端设置的共同用途:注入器,它可以相互作用,耦合的扩展隧道和库仑相互作用的非均匀线与任何范围的相互作用和散射过程。我们得到的一些重要结果是相关的其他多终端几何。我们表明,注入器的电压不削减相关的散射过程中的电线的流量。无论是接地或半无限导线在太低的温度被驱动到强耦合制度。我们表明,注射器诱导侵入性的影响。它们是由于虚拟高阶隧穿过程和与注入器的库仑相互作用产生的非局部后向散射过程。后者诱导另外屏蔽线中的相互作用。对于STM,这些效应可以极大地掩盖探测的态密度(DOS)。在零温度的极限下,将一根长的接地导线驱动到其固定点,在该固定点处,导线在隧穿点处断开。因此,STM探测的不是预期的大部分DOS,而是末端DOS。我们分析当前的自相关和互相关。我们表明,在两个终端的几何形状的互相关由它们的值占主导地位。由于它们与当前的自相关相反,因此它们对于局部散射过程总是负的。我们给新的标度律的所有订单相对于当地的后向散射。

英文摘要:

We develop a general out-of-equilibrium framework for a typical three-terminal setup of common use: an injector, which can be interacting, coupled by both extended tunneling and Coulomb interactions to an inhomogeneous wire with any range of interactions and scattering processes. Some of the crucial results we obtain are of relevance to other muti-terminal geometries. We show that the voltage of the injector does not cut the flow of relevant scattering processes in the wire. Either a grounded or a semi-infinite wire at too low temperature is driven into the strong coupling regime. We show that the injector induce invasive effects. They are due to non-local backscattering processes generated both by virtual higher order tunneling processes and by Coulomb interactions with the injector. The latter induce in addition screening of interactions in the wire. For an STM, those effects can drastically mask the probed density of states (DOS). In the limit of zero temperature, a long and grounded wire is driven to its fixed point where it is disconnected at the tunneling point. Thus instead of the bulk expected DOS, the STM probes the end one. We analyze current auto- and cross-correlations. We show that the cross-correlations are dominated by their value in the two-terminal geometry. As these are opposite to the current auto-correlations, they are always negative for local scattering processes. We give novel scaling laws to all orders with respect to a local backscattering.

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