AI 中文总结
本研究通过马尔可夫链蒙特卡罗模拟，系统探究三角与笼目晶格上无自旋Falicov-Kimball模型的相稳定性，揭示了晶格几何与粒子-空穴对称性破缺对关联电子系统相图的关键影响。
AI 中文摘要
我们利用马尔可夫链蒙特卡罗模拟，系统研究了二维非二分晶格（三角晶格和笼目晶格）上无自旋Falicov-Kimball模型的相图稳定性。研究考察了三种填充或化学势条件：固定化学势（$μ_f = μ_c = U/2$）、“广义”半填充（$\bar{n}_f = 1/3$，$\bar{n}_c = 2/3$）以及常规半填充（$\bar{n}_f = \bar{n}_c = 1/2$）。针对每种条件，我们都研究了微扰量级的次近邻跃迁的影响。在三角晶格上，所有情形下均发现了安德森绝缘体、莫特绝缘体和电荷密度波（CDW）相，其中CDW由库仑相互作用介导的嵌套驱动。在弱关联区域与CDW之间的区域，我们发现了电荷液体区域的证据，其特征是存在相互竞争的电荷有序波矢且缺乏普适标度行为；从巨正则条件到常规半填充条件，该区域的范围逐渐缩小。在笼目晶格上，CDW相完全不存在；取而代之的是一种绝缘基态（很可能是莫特型），并在零温下表现出可能的量子相变迹象。我们的结果证实了晶格几何结构和粒子-空穴对称性破缺在决定关联电子系统相图方面的关键作用。
英文摘要
We present a systematic investigation of the stability of the phase diagram of the spinless Falicov-Kimball model on two-dimensional non-bipartite lattices, the triangular and kagome lattices, using Markov-chain Monte Carlo simulations. Three filling or chemical potential conditions are examined: fixed chemical potentials ($μ_f = μ_c = U/2$), "generalized" half-filling ($\bar{n}_f = 1/3$, $\bar{n}_c = 2/3$), and conventional half-filling ($\bar{n}_f = \bar{n}_c = 1/2$). For each condition, the effects of a perturbatively small next-nearest-neighbor hopping are studied. On the triangular lattice, Anderson insulator, Mott insulator, and charge-density wave (CDW) phases are found in all cases, with the CDW driven by Coulomb-interaction-mediated nesting. Evidence for a charge-liquid regime is found in the region between the weakly correlated regime and the CDW, characterized by competing charge-ordering wavevectors and the absence of universal scaling behavior, whose extent shrinks progressively from the grand-canonical to the conventional half-filling condition. On the kagome lattice, the CDW phase is completely absent; instead, an insulating ground state, plausibly of the Mott type, is found, with signatures of a possible quantum phase transition at zero temperature. Our results establish the crucial role of lattice geometry and particle-hole symmetry breaking in shaping the phase diagram of correlated electron systems.
Comments27 pages, 8 figures
Journal refEur. Phys. J. B 99, 141 (2026)
DOI：10.1140/epjb/s10051-026-01245-9
