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arXiv 0901.1358cond-mat.mes-hall
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含电流量子霍尔系统的各向异性基态

Anisotropic ground states of the quantum Hall system with currents

Kazumi Tsuda

摘要:

在有限电流作用下,研究了半满朗道三能级及更高能级的各向异性态。利用有效作用量研究了条形霍尔态和各向异性电荷密度波(ACDW)态对注入电流的响应。电流分布和电流的总能量的依赖性确定为两个状态。在没有注入电流的情况下,ACDW态的能量低于条形霍尔态的能量。我们发现,随着注入电流的增加,ACDW态的能量增加的速度比条纹霍尔态。因此,当电流超过临界值时,条纹霍尔态变为较低能量状态。临界值估计为约0.04 - 0.05 nA,这比实验中使用的电流小得多。我们的计算是使用块对角化技术上的冯诺依曼晶格。我们在这篇论文中回顾这项技术。

英文摘要:

Anisotropic states at half-filled third and higher Landau levels are investigated in the system with a finite electric current. We study the response of the striped Hall state and the anisotropic charge density wave (ACDW) state against the injected current using the effective action. Current distributions and a current dependence of the total energy are determined for both states. With no injected current, the energy of the ACDW state is lower than that of the striped Hall state. We find that the energy of the ACDW state increases faster than that of the striped Hall state as the injected current increases. Hence, the striped Hall state becomes the lower energy state when the current exceeds the critical value. The critical value is estimated at about 0.04 - 0.05 nA which is much smaller than the current used in the experiments. Our calculations are performed using a block diagonalization technique on a von Neumann lattice. We review this technique in this thesis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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