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arXiv 1810.03312hep-thcond-mat.str-el
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全息中的么正束缚破坏和电荷密度波的不稳定性

Unitarity bound violation in holography and the Instability toward the Charge Density Wave

Geunho Song, Yunseok Seo, Sang-Jin Sin

摘要:

研究了体狄拉克质量全息系统中费米子在共形么正性边界以外的谱函数,发现谱函数与快子行为存在色散关系,表明存在不稳定性。基于密度和k-能隙尖端位置之间的线性关系,我们认为这种不稳定性是朝向电荷密度波(CDW)的,而尖端的位置可以确定为电荷密度波的波矢。在物理根源上,我们指出非费米液体理论中的么正性破坏和费米液体理论中的嵌套现象是CDW不稳定性的相似机制。

英文摘要:

We study the spectral function of fermions in a holographic set up with bulk Dirac mass in the regime beyond the conformal unitarity bound, and find that spectral function has the dispersion relation with tachyonic behavior, indicating an instability. Based on linearity between the density and the position of the tip of the k-gap, we suggest that this instability is toward the charge density wave(CDW) and the position of the tip can be identified as the wave vector of CDW. For the physical origin, we point out the similarity of unitarity violation in our non-Fermi Liquid theory and nesting phenomena in the Fermi liquid theory as the mechanism of CDW instability.

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