论文标题

通过混乱和下一新的邻居跳跃来增强哈伯德集群的影响电离

Enhancement of impact ionization in Hubbard clusters by disorder and next-nearest-neighbor hopping

论文作者

Kauch, Anna, Worm, Paul, Prauhart, Paul, Innerberger, Michael, Watzenböck, Clemens, Held, Karsten

论文摘要

我们对哈伯德模型进行时间分辨的精确对角线化,并在高达$ 12 $站点的小簇上进行时间依赖的跳动。在这里,时间依赖性起源于经典的电磁脉冲,该脉冲模仿了光子的影响。我们研究了脉冲后对不同簇几何和现场电位后的双重职业和光谱函数的行为。我们发现除了一维链外,所有研究的几何形状的影响电离。在模型中增加最新的邻居会导致影响电离的显着增强,而三角形晶格的疾病和几何挫败感也是如此。

We perform time-resolved exact diagonalization of the Hubbard model with time dependent hoppings on small clusters of up to $12$ sites. Here, the time dependence originates from a classic electromagnetic pulse, which mimics the impact of a photon. We investigate the behavior of the double occupation and spectral function after the pulse for different cluster geometries and on-site potentials. We find impact ionization in all studied geometries except for one-dimensional chains. Adding next-nearest neighbor hopping to the model leads to a significant enhancement of impact ionization, as does disorder and geometric frustration of a triangular lattice.

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