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arXiv 1602.04534cond-mat.dis-nn
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玻璃中的反常声速和介电位移:一般耦合块体模型下机械和介电磁化率的重正化方法

Anomalous Sound Velocity and Dielectric Shift in Glass: a Renormalization Technique for Mechanical and Dielectric Susceptibilities from Generic Coupled Block Model

Di Zhou

摘要:

玻璃声速位移被观察到是longarithmically温度依赖于在弛豫和共振制度:$Δc/c=\mathcal{C}\ln T$。它不是从$T=0$ K开始随温度单调增加,而是在几开尔文附近达到最大值。不同于隧道二能级系统(TTLS)给出弛豫区和共振区的斜率比$\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm res }=-\frac{1}{2}:1$,我们发展了一个通用的耦合块模型,给出了$\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm res }=-1:1$,它与大多数实验测量结果符合得很好.我们利用电偶极-偶极相互作用对玻璃介电常数漂移$Δε/ε=\mathcal{C}\ln T$进行了类似的行为。弛豫和共振区域之间的斜率比为$\mathcal{C}^{\rm rel}:\mathcal{C}^{\rm res}=1:-1$,这与介电测量相当吻合。通过对非弹性应力-应力和介电常数的重正化过程,我们证明了这些普适性本质上来自于$1/r^3$长程相互作用,而与材料的微观性质无关。

英文摘要:

Glass sound velocity shift was observed to be longarithmically temperature dependent in both relaxation and resonance regimes: $Δc/c=\mathcal{C}\ln T$. It does not monotonically increase with temperature from $T=0$K, but to reach a maximum around a few Kelvin. Different from tunneling-two-level-system (TTLS) which gives the slope ratio between relaxation and resonance regimes $\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm res }=-\frac{1}{2}:1$, we develop a generic coupled block model to give $\mathcal{C}^{\rm rel }:\mathcal{C}^{\rm res }=-1:1$, which agrees well with the majority of experimental measurements. We use electric dipole-dipole interaction to carry out a similar behavior for glass dielectric constant shift $Δε/ε=\mathcal{C}\ln T$. The slope ratio between relaxation and resonance regimes is $\mathcal{C}^{\rm rel}:\mathcal{C}^{\rm res}=1:-1$ which agrees with dielectric measurements quite well. By developing a renormalization procedure for non-elastic stress-stress and dielectric susceptibilities, we prove these universalities essentially come from $1/r^3$ long range interactions, independent of materials' microscopic properties.

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