Quantum magneto-oscillations in a two-dimensional Fermi liquid
Quantum magneto-oscillations in a two-dimensional Fermi liquid
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二维费米液体中的量子磁振荡
DOI：
10.1103/physrevb.68.241309
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发表时间：
2003
影响因子：
3.7
通讯作者：
M. Reizer
中科院分区：
文献类型：
--
作者：
G. Martin;D. Maslov;M. Reizer
量子磁振荡为量化金属的费米液体参数提供了有力的工具。特别是，准粒子的有效质量和自旋磁化率提取的实验使用Lifshitz-Kosevich公式，推导出的假设下，系统在非零磁场的性质是唯一的零场费米液体状态。这种假设在三维（3D）中是有效的，但一般来说，在2D中是错误的，其中Lifshitz-Kosevich公式仅在振荡被热拖尾和无序强烈阻尼时才适用。本文研究了二维磁振荡中相互作用和无序度对磁振荡幅度的影响。结果表明，随着温度的降低，有效质量随温度的增加而发散，这表明有效质量偏离了费米液体的行为。它还表明，准粒子寿命由于非弹性相互作用不进入振幅，虽然这些相互作用重整化的有效质量。这个结果提供了一个推广的福勒-普兰奇定理制定原来的电子-声子相互作用。
Quantum magneto-oscillations provide a powerful tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich formula, derived under the assumption that the properties of the system in a nonzero magnetic field are determined uniquely by the zero-field Fermi-liquid state. This assumption is valid in three dimensions (3D) but, generally speaking, erroneous in 2D where the Lifshitz-Kosevich formula may be applied only if the oscillations are strongly damped by thermal smearing and disorder. In this work, the effects of interactions and disorder on the amplitude of magneto-oscillations in 2D are studied. It is found that the effective mass diverges logarithmically with decreasing temperature signaling a deviation from the Fermi-liquid behavior. It is also shown that the quasiparticle lifetime due to inelastic interactions does not enter the oscillation amplitude, although these interactions do renormalize the effective mass. This result provides a generalization of the Fowler-Prange theorem formulated originally for the electron-phonon interaction.