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arXiv 0711.3370cond-mat.mes-hall
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扫描门显微术测量介观样品的局域态密度

Local Density of States in Mesoscopic Samples from Scanning Gate Microscopy

M. G. Pala, B. Hackens, F. Martins, H. Sellier, V. Bayot, S. Huant, T. Ouisse

摘要:

我们研究了在扫描栅显微镜实验中,当带电针尖在样品表面上方扫描时,介观结构的局域态密度(LDOS)和电导变化$ΔG$之间的关系。我们提出了一个分析模型表明,在线性响应制度的电导位移$ΔG$是成比例的希尔伯特变换的LDOS,因此广义Kramers-Kronig关系之间的LDOS和$ΔG$。我们分析了这种关系的有效性的物理条件,无论是一维和二维系统时,几个通道有助于运输。我们专注于现实的Aharonov-Bohm环,包括一个随机分布的杂质和分析的LDOS- $ΔG$对应通过精确的数值模拟,当局域态或半经典轨道的波函数的系统的特征。

英文摘要:

We study the relationship between the local density of states (LDOS) and the conductance variation $ΔG$ in scanning-gate-microscopy experiments on mesoscopic structures as a charged tip scans above the sample surface. We present an analytical model showing that in the linear-response regime the conductance shift $ΔG$ is proportional to the Hilbert transform of the LDOS and hence a generalized Kramers-Kronig relation holds between LDOS and $ΔG$. We analyze the physical conditions for the validity of this relationship both for one-dimensional and two-dimensional systems when several channels contribute to the transport. We focus on realistic Aharonov-Bohm rings including a random distribution of impurities and analyze the LDOS-$ΔG$ correspondence by means of exact numerical simulations, when localized states or semi-classical orbits characterize the wavefunction of the system.

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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