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arXiv 1306.1879cond-mat.mes-hall
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量子点接触中传输势垒的温度调制

Temperature Modulation of the Transmission Barrier in Quantum Point Contacts

Alfredo X. Sánchez, Jean-Pierre Leburton

摘要:

利用传输矩阵技术研究了GaAs/AlGaAs异质结量子点接触(QPC)的近平衡弹道输运随温度和势垒形状的变化.我们的分析是基于一个三维(3D)的Hartree-Fock近似内的量子力学变分模型,考虑到垂直耗尽电位从电离的受主在GaAs和栅极诱导的横向限制的潜力,减少到一个有效的缓慢变化的一维(1D)沿狭窄的收缩潜力。计算出的零温度传输表现出肩范围从0.3至0.6取决于QPC的长度和势垒的轮廓。这种效应是一维电子气中的可压缩性峰值的结果,并且在QPC中电子之间的反铁磁相互作用中得到增强,但是一旦温度增加零点几个开尔文,这种效应就会消失。

英文摘要:

We investigate near-equilibrium ballistic transport through a quantum point contact (QPC) along a GaAs/AlGaAs heterojunction with a transfer matrix technique, as a function of temperature and the shape of the potential barrier in the QPC. Our analysis is based on a three-dimensional (3D) quantum-mechanical variational model within the Hartree-Fock approximation that takes into account the vertical depletion potential from ionized acceptors in GaAs and the gate-induced transverse confinement potential that reduce to an effective slowly-varying one-dimensional (1D) potential along the narrow constriction. The calculated zero-temperature transmission exhibits a shoulder ranging from 0.3 to 0.6 depending on the length of the QPC and the profile of the barrier potential. The effect is a consequence of the compressibility peak in the 1D electron gas and is enhanced for anti-ferromagnetic interaction among electrons in the QPC, but is smeared out once temperature is increased by a few tenths of a kelvin.

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