近日，中国科学院高能物理研究所的凌意与内江师范学院的吴孟和等人合作并取得一项新进展。经过不懈努力，他们对全息模型中的公度状态和锁定现象进行研究。相关研究成果已于2024年11月26日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队研究了一个全息模型，在该模型中，电荷密度的条纹结构自发地在破缺平移对称性的离子晶格上形成。当晶格振幅足够大时，可以观察到自发条纹与离子晶格之间的公度锁定效应。研究人员研究了公度状态下光学电导率随频率的变化，并比较了从金属相到绝缘相相变过程中的特征。

值得注意的是，研究人员发现锁定状态下的直流电阻率随温度降低而呈代数增长，这与文献[1]中模拟莫特绝缘体实验行为的全息模型所观察到的现象一致。

此外，在较低温度下，无论是否处于锁定状态，都观察到了钉扎效应。这个全息模型成功地展示了公度锁定的特征，并为通过全息术理解离子晶格与电子晶格之间的相互作用提供了更多信息。

附：英文原文

Title: The commensurate state and lock-in in a holographic model

Author: Ling, Yi, Liu, Peng, Wu, Meng-He

Issue&Volume: 2024-11-26

Abstract: We study a holographic model in which the striped structure of charge density is spontaneously formed over an ionic lattice which breaks the translational symmetry explicitly. The effect of commensurate lock-in between the spontaneous stripes and the ionic lattice is observed when the lattice amplitude is large enough. We investigate the optical conductivity as a function of frequency in commensurate state and compare its characteristics during the phase transition from metallic phase to insulating phase. Notably, we find that the DC resistivity in lock-in state increases algebraically with lowering temperature, which is in line with the phenomenon observed in the holographic model for simulating the experimental behavior of Mott insulator in [1]. In addition, at lower temperature the pinning effect is observed for both unlock-in and lock-in states. This holographic model successfully demonstrates the commensurate lock-in signatures, and provides more information for understanding the interplay between ionic lattices and electronic lattices by holography.

DOI: 10.1007/JHEP11(2024)143

Source: https://link.springer.com/article/10.1007/JHEP11(2024)143