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arXiv 1005.4154cond-mat.mes-hall
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量子霍尔效应中的螺旋边磁等离子体激元

Helical edge magnetoplasmon in the quantum Hall effect regime

Sanderson Silva, Oleg G. Balev

摘要:

我们提出了边缘磁等离子体(EMP)的微观处理的制度不太低的温度下定义的条件$\hbar ω_{c}\gg k_{B}T\gg \hbar v_{g}/2\ell_{0}$,其中$v_{g}$是群速度的边缘状态,$\ell_{0}=\sqrt{\hbar /m^{\ast}ω_{c}}$是磁长度和$ω_{c}$是回旋频率。我们发现一个弱阻尼对称模式,命名为螺旋边缘磁等离子体激元,这是本地化的边缘状态区域的填充因子$ν=1, 2$和\textit{very strong dissipation} $η_{T}=ξ/k_{x}\ell_{T}\agt\ln (1/k_{x}\ell_{T})\gg 1$,其中的特征长度$\ell_{T}=k_{B}T\ell_{0}^{2}/\hbar v_{g}\gg \ell_{0}/2$与$ξ$是局部横向电导率的比率,局部霍尔电导率在边缘状态和$k_{x}$是沿边缘的波矢量;这里其他EMP模式是强阻尼。螺旋边缘磁等离子体激元的空间结构,横向的边缘,强烈修改的波沿边缘传播。在\textit{weak dissipation},$η_{T}\ll 1$的区域中,我们精确地得到了基模阻尼随$k_{x}$的变化。对于$ν=4$和弱耗散,我们发现由于库仑耦合,$n=0$和$n=1$朗道能级的基模被强重整化。研究了来自金属门和空气半空间的电磁脉冲的重整化。

英文摘要:

We present the microscopic treatment of edge magnetoplasmons (EMPs) for the regime of not-too-low temperatures defined by the condition $\hbar ω_{c}\gg k_{B}T\gg \hbar v_{g}/2\ell_{0}$, where $v_{g}$ is the group velocity of the edge states, $\ell_{0}=\sqrt{\hbar /m^{\ast}ω_{c}}$ is the magnetic length and $ω_{c}$ is the cyclotron frequency. We find a weakly damped symmetric mode, named helical edge magnetoplasmon, which is localized at the edge states region for filling factors $ν=1, 2$ and \textit{very strong dissipation} $η_{T}=ξ/k_{x}\ell_{T}\agt\ln (1/k_{x}\ell_{T})\gg 1$, where the characteristic length $\ell_{T}=k_{B}T\ell_{0}^{2}/\hbar v_{g}\gg \ell_{0}/2$ with $ξ$ being the ratio of the local transverse conductivity to the local Hall conductivity at the edge states and $k_{x}$ is the wave vector along the edge; here other EMP modes are strongly damped. The spatial structure of the helical edge magnetoplasmon, transverse to the edge, is strongly modified as the wave propagates along the edge. In the regime of \textit{weak dissipation}, $η_{T}\ll 1$, we obtain exactly the damping of the fundamental mode as a function of $k_{x}$. For $ν=4$ and weak dissipation we find that the fundamental modes of $n=0$ and $n=1$ Landau levels (LLs) are strongly renormalized due to the Coulomb coupling. Renormalization of all these EMPs coming from a metal gate and air half-space is studied.

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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