Third Sound in Artificially Prepared Two-Dimensional Modulated Structures

人工制备的二维调制结构中的第三种声音

• 批准号: 05452051
• 负责人: KONO Kimitoshi
• 金额: $ 4.54万
• 依托单位: University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05452051/
• 关键词: Penrose lattice; Quasicrystal; Third sound; Quantum liquids; Transmission spectrum; Multiple diffraction

Wave phenomena in modulated structures are of general interest not only in the solid state physics but also in physics. Concurrent interests in the phenomena are stimulated by the recent discovery of localization of waves in random media (Anderson localization) and of quasicrystals. The aim of this research is to elucidate the nature of waves in these modulated structures.In the present experiment transmission spectra of third sound in the Penrose lattice which is a two-dimensional quasiperiodic lattice. Despite the theoretical expectation, the transmission is sensitive to the impinging direction of sound and the spectrum has rich structures. This is due to the finiteness of the sample and hence the result does not conflict with the theory.Ewald's construction suggests that the transmission is strongly suppressed when more than one spots of the structure factor locate on the same Ewald circle (sphere in three-dimensions). This fact implies that the multiple dffraction is important in this system.The transmission spectrum of waves in the Penrose lattice is observed for the first time. The importance of the multiple diffraction in the Penrose lattice is emphasized. In the next step of the research the spectra have to be measured in the other mudulated structures than the Penrose lattice, for example, the random lattice.

调制结构中的波动现象不仅在固态物理学中而且在物理学中都受到普遍关注。最近发现的随机介质中波的局域化（安德森局域化）和准晶体的发现激发了人们对这些现象的同时兴趣。本研究的目的是阐明这些调制结构中波的性质。在本实验中，彭罗斯晶格是二维准周期晶格，第三声音的传输谱。尽管是理论上的预期，但传输对声音的撞击方向很敏感，并且频谱具有丰富的结构。这是由于样本的有限性，因此结果与理论并不冲突。Ewald 的构造表明，当结构因子的多个点位于同一个 Ewald 圆（三维球体）上时，传输会受到强烈抑制）。这一事实表明多重衍射在该系统中很重要。彭罗斯晶格中波的透射谱首次被观测到。强调了彭罗斯晶格中多重衍射的重要性。在下一步研究中，必须在彭罗斯晶格之外的其他调制结构（例如随机晶格）中测量光谱。

项目成果

T.Komuro, H.Kawashima, K.Shirahama: "and K.Kono, Third Sound in One and Two Dimensional Modulated Structures" Journal of Low Temperature Physics. (submitted).

T.Komuro、H.Kawashima、K.Shirahama：“和 K.Kono，一维和二维调制结构中的第三声音”《低温物理学杂志》。

T.Komuro,H.Kawashima,K.Shirahama,and K.Kono: "Third Sound in One and Two Dimensional Modulated Structures" Journal of Low Temperature Physics. (投稿中).

T. Komuro、H. Kawashima、K. Shirahama 和 K. Kono：“一维和二维调制结构中的第三声音”《低温物理学杂志》（进行中）。

K.Kono: "Third Sound Propagation in Quasicrystals" Physica B. (in press).

K.Kono：“准晶体中的第三声音传播”Physica B.（正在出版）。

K.Kono: "Third Sound Transmission Through Non-Periodic Lattices" Phonon Scattering in Cpndensed Matter VII,edited by M.Meiss-ner and R.O.Pohl (Springer-Verlag Berlin Heidelberg). 430-431 (1993)

K.Kono：“通过非周期晶格的第三次声音传输”凝聚态物质中的声子散射 VII，由 M.Meiss-ner 和 R.O.Pohl 编辑（Springer-Verlag Berlin Heidelberg）。

K.Kono: "Third Sound Transmission Through Non-Periodic Lattices" Phonon Scattering in Condensed Matter VII,edited by M.Meissner and R.O.Pohl (Springer-Verlag Berlin Heidelberg). 430-431 (1993)

K.Kono：“通过非周期性晶格的第三次声音传输”凝聚态物质中的声子散射 VII，由 M.Meissner 和 R.O.Pohl 编辑（Springer-Verlag Berlin Heidelberg）。