利用高阶回旋共振检验层析费米液体假说
Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
AI总结：
针对层析费米液体假说难以通过直流电学测量验证的问题，提出利用高阶回旋共振的吸收线宽与振幅检验该假说的方法，并通过石墨烯太赫兹实验验证了相关预测。
摘要：
近期针对简并二维系统中载流子-载流子散射的理论研究表明，分布函数的奇次和偶次角谐波具有截然不同的弛豫时间。这一被称为“层析费米液体（tomographic Fermi liquid）”的理论概念，目前难以通过直流电学测量验证，因为电子散射对电阻率的影响很弱。本文表明，回旋共振多谐波处电磁吸收的线宽和振幅包含检验层析费米液体假说所需的全部信息。具体而言，当探测波长超过回旋半径$R_c$时，$m$阶（$m \ge 2$）回旋共振的峰高和倒数宽度与电子分布函数的$m$阶角谐波寿命$τ_m$成正比。在波长为$R_c$量级的短波长下测量高阶回旋共振，还可通过我们推导的简单线性方程组直接确定所有寿命$τ_m$。从石墨烯太赫兹光电导实验中提取的回旋共振寿命显示，三阶共振的线宽系统地窄于二阶共振，支持了层析费米液体假说的预测。
英文摘要：
Recent theoretical studies of carrier-carrier scattering in degenerate two-dimensional systems have revealed radically different relaxation times for odd and even angular harmonics of distribution function. This theoretical concept, dubbed as 'tomographic Fermi liquid', is yet challenging to test with dc electrical measurements as electron scattering weakly affects the electrical resistivity. Here, we show that linewidth and amplitude of electromagnetic absorption at the multiple harmonics of the cyclotron resonance carries all necessary information to test the tomographic Fermi liquid hypothesis. Namely, the height and inverse width of $m$-th order cyclotron resonance ($m \ge 2$) is proportional to the lifetime of $m$-th angular harmonic of electron distribution function $τ_m$, if probed at wavelengths exceeding the cyclotron radius $R_c$. Measurements of high-order cyclotron resonance at short wavelengths order of $R_c$ also enable a direct determination of all lifetimes $τ_m$ from a simple linear system of equations that we hereby derive. Extraction of cyclotron resonance lifetimes from an experiment on terahertz photoconductivity in graphene shows that third-order resonance is systematically narrower than second-order one, supporting the prediction of tomographic Fermi liquid hypothesis.
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