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arXiv 2008.01324cond-mat.mes-hall
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二维电子通道中电致电荷密度波:局域密度近似之外

Electrically induced charge-density waves in a two-dimensional electron channel: Beyond the Local Density Approximation

Erica Hroblak, Mohammad Zarenia, Giovanni Vignale

摘要:

在以前的论文中,我们提出,宏观力场施加在二维电子气通道可以诱导微观电荷密度波,只要适当的压缩性变为负值,这发生在密度远高于维格纳晶体转变的临界密度。该建议是基于局域密度近似下的基态能量的计算。在本文中,我们改进我们的计算的能量包括自洽梯度校正的动能。由于快速密度变化的能量成本增加,我们发现一个低得多的临界密度的电荷密度波的发病。该临界密度与无电场时均匀基态的线性稳定性分析结果一致。

英文摘要:

In a previous paper we suggested that a macroscopic force field applied across a two-dimensional electron gas channel could induce a microscopic charge density wave as soon as the proper compressibility becomes negative, which happens at densities much higher than the critical density for the Wigner crystal transition. The suggestion was based on a calculation of the ground state energy in the local density approximation. In this paper we refine our calculation of the energy by including a self-consistent gradient correction to the kinetic energy. Due to the increased energy cost of rapid density variations, we find a much lower critical density for the onset of the charge density wave. This critical density coincides with the result of a linear stability analysis of the uniform ground state in the absence of the electric field.

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