近日，韩国汉阳大学Sang-Jin Sin团队报道了全息材料中的倾斜狄拉克锥及其拓扑结构。2026年3月9日，《高能物理杂志》发表了这一成果。
研究组通过引入在全息框架中实现倾斜狄拉克锥谱特征的方法，探索了具有倾斜狄拉克锥的强关联材料。基于Moradpouri等人的工作，他们通过对Volovik等人构建的标架场进行提升，构建了渐近AdS时空以实现对平直时空光锥的倾斜。
随后将该度规与全息费米子耦合，通过计算其谱函数证实了动量空间中倾斜狄拉克锥的存在。研究组利用全息格林函数计算拓扑数，发现陈数与倾斜参数无关。此外，研究显示即使在零化学势下光学电导率仍呈现德鲁德峰，揭示了场论模型中不存在的非平庸强耦合效应。
附：英文原文
Title: Tilted Dirac cones and their topology in holographic materials
Author: Seo, Jeong-Won, Yuk, Taewon, Sin, Sang-Jin
Issue&Volume: 2026-03-09
Abstract: We explore strongly correlated materials with tilted Dirac cone by introducing a method to realize this spectral feature within a holographic setup. Following the work by Moradpouri et al, we construct an asymptotically AdS spacetime by uplifting the vielbein of Volovik et al. to tilt the flat spacetime light cone. We then couple the resulting metric to holographic fermions and compute their spectral functions, confirming the presence of a tilted Dirac cone in momentum space. We also calculate the topological number using the holographic Green’s function and find that the Chern number is independent of the tilting parameter. Additionally, we show that the optical conductivity exhibits a Drude peak even at zero chemical potential, revealing nontrivial strong-coupling effects absent in field-theoretic models.
DOI: 10.1007/JHEP03(2026)079
Source: https://link.springer.com/article/10.1007/JHEP03(2026)079