论文标题

莫特(Mott)在各向异性蜂窝状晶格上的哈伯德模型中的过渡,对劳累石墨烯有影响:gutzwiller差异研究

Mott transition in the Hubbard model on anisotropic honeycomb lattice with implications for strained graphene: Gutzwiller variational study

论文作者

Rut, Grzegorz, Fidrysiak, Maciej, Goc-Jagło, Danuta, Rycerz, Adam

论文摘要

高压引起的原子间距离的修饰会导致外来现象,包括金属性,超导性和磁性,在未在正常条件下显示这种特性的材料中观察到。在二维晶体(例如石墨烯)中,原子键长可以通过施加平面内应变(即而不会在大容量中产生高压)来改变10%。在这项工作中,我们通过使用计算廉价的技术(包括Gutzwiller波函数(GWF)和不同的Gutzwiller近似(GA)变异,在蜂窝晶状体上进行了应变诱导的MOTT型过渡,从而获得了较低和上限,以获取关键的Hubbard Repuls Repuls reculsion($ U $)的下限和上限。对于扶手椅方向上的单轴应变,频带间隙不存在,电子相关性起主要作用。预计将大大减少关键哈伯德$ U $。模型考虑因素被映射到由辅助su-schrieffer-heeger模型的声音子绘制到单层石墨烯的紧密结合哈密顿量,假设垂直于施加的应变的方向上的零应力。我们的结果表明,尽管对于极高的单轴菌株,但石墨烯虽然处于半金属阶段,但仍可能显示出电子相关性的可测量特征,例如频带缩小和减少双重占用率。

Modification of interatomic distances due to high pressure leads to exotic phenomena, including metallicity, superconductivity and magnetism, observed in materials not showing such properties in normal conditions. In two-dimensional crystals, such as graphene, atomic bond lengths can be modified by more that 10 percent by applying in-plane strain, i.e., without generating high pressure in the bulk. In this work, we study the strain-induced Mott transition on a honeycomb lattice by using computationally inexpensive techniques, including Gutzwiller Wave Function (GWF) and different variants of Gutzwiller Approximation (GA), obtaining the lower and upper bounds for critical Hubbard repulsion ($U$) of electrons. For uniaxial strain in the armchair direction the band gap is absent, and electron correlations play a dominant role. A significant reduction of the critical Hubbard $U$ is predicted. Model considerations are mapped onto tight-binding Hamiltonian for monolayer graphene by the auxiliary Su-Schrieffer-Heeger model for acoustic phonons, assuming zero stress in the direction perpendicular to the strain applied. Our results suggest that graphene, although staying in semimetallic phase even for extremely high uniaxial strains, may show measurable signatures of electron correlations, such as the band narrowing and the reduction of double occupancies.

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