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arXiv 0901.1183cond-mat.mes-hall
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量子点接触中的电子-电子相互作用效应

Electron-electron interaction effects in quantum point contacts

A. M. Lunde, A. De Martino, A. Schulz, R. Egger, K. Flensberg

摘要:

我们考虑电子-电子相互作用的量子点接触的第一个量子化平台上,考虑到所有的散射过程。我们计算低温线性和非线性电导,散粒噪声和热功率,微扰理论和自洽的非微扰方法。在电导平台上,低温修正仅仅是由于动量非守恒过程改变了左、右移动电子的相对数量。这导致对于增加温度或电压的电导的抑制。抑制的大小是针对现实的鞍点势估计的,并且在电导平台的开始时最大。对于大的磁场,相互作用效应被泡利原理强烈抑制,因此第一自旋分裂电导平台具有弱得多的相互作用校正。对于非微扰计算,我们使用自洽的非平衡格林函数的方法,这表明,电导饱和在高温下。这些结果与许多与所谓的0.7异常有关的实验观察结果一致。

英文摘要:

We consider electron-electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. We compute the low-temperature linear and nonlinear conductance, shot noise, and thermopower, by perturbation theory and a self-consistent nonperturbative method. On the conductance plateau, the low-temperature corrections are solely due to momentum-nonconserving processes that change the relative number of left- and right-moving electrons. This leads to a suppression of the conductance for increasing temperature or voltage. The size of the suppression is estimated for a realistic saddle-point potential, and is largest in the beginning of the conductance plateau. For large magnetic field, interaction effects are strongly suppressed by the Pauli principle, and hence the first spin-split conductance plateau has a much weaker interaction correction. For the nonperturbative calculations, we use a self-consistent nonequilibrium Green's function approach, which suggests that the conductance saturates at elevated temperatures. These results are consistent with many experimental observations related to the so-called 0.7 anomaly.

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