论文标题
在最简单的掺杂莫特绝缘子中违反了Luttinger的定理：在强相关限制中的Falicov-Kimball模型
Violation of Luttinger's theorem in the simplest doped Mott insulator: Falicov-Kimball model in strong correlation limit
论文作者
论文摘要
Luttinger的定理长期以来一直被视为Landau的费米液体的关键特征，该特征标志着准粒子的存在。在这里，通过公正的蒙特卡洛法，Falicov-Kimball（FK）模型清楚地揭示了对Luttinger定理的违规，这表明在任何电子密度下具有强大的相关性驱动的非Fermi液体特性。将孔载体引入半填充的FK会导致Mott Insulator-Metal Transition，其中Mott量子临界性表现出非常规性的缩放性能。通过将Hubbard-I近似与复合费用图片相结合，对违反Luttinger定理的侵犯的进一步见解，这强调了巡回电子的混合激发和复合费米的重要性。有趣的是，当将FK模型与二进制障碍系统进行比较时，它表明由Monte Carlo和Hubbard-I方法发现的两峰带结构是违反Luttinger定理的基础。
The Luttinger's theorem has long been taken as the key feature of Landau's Fermi liquid, which signals the presence of quasiparticles. Here, by the unbiased Monte Carlo method, violation of Luttinger's theorem is clearly revealed in the Falicov-Kimball (FK) model, indicating the robust correlation-driven non-Fermi liquid characteristic under any electron density. Introducing hole carriers to the half-filled FK leads to Mott insulator-metal transition, where the Mott quantum criticality manifests unconventional scaling behavior in transport properties. Further insight on the violation of the Luttinger's theorem is examined by combining Hubbard-I approximation with a composite fermion picture, which emphasizes the importance of a mixed excitation of the itinerant electron and the composite fermion. Interestingly, when compared FK model with a binary disorder system, it suggests that the two-peak band structure discovered by Monte Carlo and Hubbard-I approaches is underlying the violation of Luttinger's theorem.
