标题： 倾斜的狄拉克锥及其在全息材料中的拓扑性质 显示英文标题

标题： Tilted Dirac cones and their topology in Holographic Materials

摘要： 我们通过引入一种方法在全息设置中实现这种谱特征，来探索具有倾斜狄拉克锥的强关联材料。 遵循Moradpouri等人的工作，我们通过将Volovik等人的vielbein提升以倾斜平直时空的光锥，构建了一个渐近AdS时空。 然后我们将得到的度规与全息费米子耦合，并计算它们的谱函数，确认动量空间中存在倾斜的狄拉克锥。 我们还使用全息格林函数计算拓扑数，并发现陈数与倾斜参数无关。 此外，我们表明即使在零化学势下，光学电导率也表现出德鲁德峰，揭示了场论模型中不存在的非平凡强耦合效应。 显示英文摘要

摘要： 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.