Chern-Simons Theory for Quantum Hall Stripes

Chern-Simons Theory for Quantum Hall Stripes
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量子霍尔条纹的陈-西蒙斯理论

DOI:
10.1142/s0217979201004988
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发表时间:
2000
期刊:
arXiv: Mesoscale and Nanoscale Physics
影响因子:
--
通讯作者:
S. Scheidl
S. Scheidl
中科院分区:
--
文献类型:
--
作者:
B. Rosenow;S. Scheidl

文献摘要

被引文献

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We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields.在这种方法中,不均匀状态的出现类似于超导体的中间状态。在最高朗道能级的一半填充时,我们找到了单向电荷密度波(CDW)解决方案。通过半经典计算,我们对面内磁场存在下 CDW 方向的变化给出了直观的解释。电子带质量的各向异性被认为是 CDW 的可再现取向的可能来源。
We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields. Within this approach, inhomogeneous states emerge in analogy to the intermediate state of a superconductor. At half filling of the highest Landau level we find unidirectional charge-density-wave (CDW) solutions. With a semiclassical calculation we give an intuitive explanation of the change of CDW orientation in the presence of an in-plane magnetic field. An anisotropy in the electron band mass is suggested as a possible source of the reproducible orientation of the CDW.