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arXiv 1512.02465hep-thcond-mat.str-el
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全息均匀晶格中的可公度效应

Commensurability effects in holographic homogeneous lattices

Tomas Andrade, Alexander Krikun

摘要:

规范/引力对偶在凝聚态物理中的一个有趣应用是通过破坏引力侧的平移不变性来描述晶格。通过利用整体对称性,可以做到这一点,而不会破坏相关体解的均匀性,因此我们称之为“均匀全息晶格”。“由于它们的技术简单性,这些配置在过去几年中受到了极大的关注,并已被证明可以正确描述动量弛豫,从而(有限)DC电导率。然而,目前尚不清楚它们是否能够捕获凝聚态中感兴趣的其他晶格效应。在本文中,我们调查这个问题,我们的注意力集中在现象的可伸缩性,这是出现时,晶格规模调整为等于(整数倍)的另一个动量尺度的系统。我们这样做,通过研究空间调制相位在各种模型的均匀全息晶格的形成。我们的研究结果表明,发病的不稳定性是由近地平线的几何形状,绝缘的解决方案进行信息的晶格。然而,我们没有观察到的特征动量的破碎阶段和晶格间距,这就要求这些模型的适用性的物理可折叠性的问题之间的尖锐的联系。

英文摘要:

An interesting application of the gauge/gravity duality to condensed matter physics is the description of a lattice via breaking translational invariance on the gravity side. By making use of global symmetries, it is possible to do so without scarifying homogeneity of the pertinent bulk solutions, which we thus term as "homogeneous holographic lattices." Due to their technical simplicity, these configurations have received a great deal of attention in the last few years and have been shown to correctly describe momentum relaxation and hence (finite) DC conductivities. However, it is not clear whether they are able to capture other lattice effects which are of interest in condensed matter. In this paper we investigate this question focusing our attention on the phenomenon of commensurability, which arises when the lattice scale is tuned to be equal to (an integer multiple of) another momentum scale in the system. We do so by studying the formation of spatially modulated phases in various models of homogeneous holographic lattices. Our results indicate that the onset of the instability is controlled by the near horizon geometry, which for insulating solutions does carry information about the lattice. However, we observe no sharp connection between the characteristic momentum of the broken phase and the lattice pitch, which calls into question the applicability of these models to the physics of commensurability.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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