Localization of long-wavelength acoustic phonons in a new anomalous lattice

新反常晶格中长波长声子的局域化

• 批准号: 22540385
• 负责人: GODA Masaki
• 金额: $ 2.16万
• 依托单位: Niigata University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540385/
• 关键词: 特異格子; 音響フォノン; 音波; 局在; 音響絶縁体; 特異格子系; 放物型分散曲線を持つ音響フォノン; 長波長音響フォノン; 音波の局在; 音波の絶縁体; 放物型分散曲線; アンダーソン局在; 伝達行列; QR法

We numerically calculated the damping rate γof acoustic phonons in an anomalous solid with parabolic phonon dispersion relation, in the cases of one-dimensional string (of length L), quasi-one-dimensional strip (of width W and length L), and quasi-one-dimensional rod (of cross section W×W and length L). In all cases, we got anomalous peaky structure in the frequency (ω) dependence of the damping rate γin the low frequency region, which proves a strong localization character of the long-wavelength acoustic phonons. However, we could not determine the numerical value of γ(ω,W→∞,L) in the limiting cases of two- and three-dimensions, because the peak values are of the order of 10^-5 or less in the unit of the inverse of the lattice constant. That means the localization length of the long-wavelength acoustic phonons in the anomalous disordered system is of the order of 0.1mm or more, in the cases of two- and three-dimensions, assuming that the lattice constant is 1nm.

数值计算了一维弦（长L）、准一维条（宽W，长L）和准一维杆（横截面W×W，长L）情况下，具有抛物型声子色散关系的反常固体中声学声子的阻尼率γ.在所有情况下，在低频区阻尼率γ随频率（ω）的变化都出现了反常的峰结构，证明了长波长声学声子的强局域化特征.然而，我们无法确定二维和三维极限情况下γ（ω，W→∞，L）的数值，因为峰值在晶格常数倒数单位的10^-5量级或更小。这意味着在二维和三维的情况下，在反常无序系统中长波长声学声子的局域长度是0.1mm或更大的数量级，假设晶格常数是1 nm。

项目成果

Damping of Long-Wavelength AcousticPhonons in a Disordered Anomalous Solid with Parabolic Phonon Dispersion

具有抛物线声子色散的无序反常固体中长波长声声子的阻尼

• 发表时间: 2011
• 期刊: Chinese Journal of Physics
• 影响因子: 5
• 作者: M. Goda;H. Hozojima;K. Oshita;M. Okamura;and S. Nishino
• 通讯作者: and S. Nishino

ランダム特異格子系における音響フォノンの伝導III

随机奇异晶格系统中声声子的传导 III

• 发表时间: 2011
• 作者: 合田正毅;門奈孝明
• 通讯作者: 門奈孝明

Damping of Long-Wavelength Acoustic Phonons in a Disordered Anomalous Solid with Parabolic Phonon Dispersion

具有抛物线声子色散的无序反常固体中长波长声声子的阻尼

• 发表时间: 2011
• 期刊: Chinese Journal of Physics
• 影响因子: 5
• 作者: M.Goda;H.Hozojima;K.Oshita;M.Okamura;S.Nishino
• 通讯作者: S.Nishino