Theory of micro-wave absorption of 2-dimensional Wigner crystals

二维维格纳晶体的微波吸收理论

• 批准号: 10640307
• 负责人: SAITOH Motohiko
• 金额: $ 0.32万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640307/
• 关键词: Wigner crystals; two-dimensional electrons; plasma resonance; micro-wave absorption; ripplons; liquid helium surface; 電子局在; ウィグナーフォノン

1.It is pointed out that 2-dimensional electrons located at the interface of semiconductor hetero-structures such as Si-MOS experience the localized-delocalized transition by the influence of impurities in oxides. We have shown by using the path-integral formalism that when electrons form an electron crystal or Wigner lattice, the Wigner phonon spectra have an energy gap in the long wave-length limit, and that the electrons are localized. The line-shape of the micro-wave absorption is not of the Lorentzian type but asymmetric owing to the density of states of the Wigner phonons.2.Kono et al. measured the plasmon resonance of quasi-2-dimensional electrons on liquid helium 3 at very low temperatures and found that (a) the resonance position is almost independent of temperature, and (b) the line-width is roughly proportional to temperature. By assuming that the 2-dimensional electrons form a Wigner crystal which interacts with the surface capillary waves or ripplons of liquid helium, we have calculated the line-width of the plasmon resonance by the linear ac conductivity formula obtained by the path-integral method. The results show that the line-width is proportional to temperature and is in good agreement with experiments. This temperature dependence comes from the number of scatterers, i. e., of thermally excited ripplons.

1.指出Si-MOS等半导体异质结构界面处的二维电子受氧化物中杂质的影响发生局域-离域跃迁。我们通过使用路径积分形式表明，当电子形成电子晶体或维格纳晶格时，维格纳声子谱在长波长极限内具有能隙，并且电子是局域化的。由于维格纳声子的态密度，微波吸收的线形不是洛伦兹型的，而是不对称的。2.Kono等人。在极低的温度下测量了液氦 3 上准二维电子的等离激元共振，发现（a）共振位置几乎与温度无关，（b）线宽大致与温度成正比。假设二维电子形成维格纳晶体，与液氦的表面毛细波或波纹相互作用，我们通过路径积分法获得的线性交流电导率公式计算了等离激元共振的线宽。结果表明，线宽与温度成正比，与实验结果吻合较好。这种温度依赖性来自于散射体的数量，即。例如，热激发的波纹。

项目成果

H. Makabe and M. Saitoh: "Theory of Plasma Resonance of 2D Wigner Crystals on Liquid ^3He"Physica. (2000)

H. Makabe 和 M. Saitoh：“液体 ^3He 上二维维格纳晶体的等离子体共振理论”物理学。

M. Saitoh: "Theory of AC Conductivity of 2D Wigner Solids"Physica. 249・251. 788-791 (1998)

M. Saitoh：“二维维格纳固体的交流电导率理论”物理学249・251（1998）。

M.Saitoh: "Theory of AC Conductivity of 2D Wigner Solids"Physica. Vol.249-251. 788-791 (1998)

M.Saitoh：“二维维格纳固体的交流电导率理论”物理学。

M. Saitoh: "Theory of AC conductivity of 2D Wigner solids"Physica B. 249-251. 788-791 (1998)

M. Saitoh：“二维维格纳固体的交流电导率理论”Physica B. 249-251。

M. Saitoh: "Theory of AC Conductivity of 2D Wigner Solids."Physica. 249-251. 788-791 (1998)

M. Saitoh：“二维维格纳固体的交流电导率理论。”物理学。