arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2203.01760cond-mat.str-elcond-mat.mtrl-sci
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亚晶格对称性破缺的扩展二分Hubbard模型的量子模拟:磁性、关联和相变

Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions

Yasser Saleem, Amintor Dusko, Moritz Cygorek, Marek Korkusinski, Pawel Hawrylak

摘要:

本文描述了一个子晶格对称性破缺的扩展二分哈伯德模型的量子模拟器。该模拟器由一个结构化的横向门限制在一个量子阱中的二维电子到人工极小安排在一个六边形晶格。亚晶格对称性破缺是通过形成具有锯齿形边缘的人工三角形石墨烯量子点(ATGQD)来产生的。由此产生的扩展哈伯德模型产生可调的比例的隧道强度,电子-电子相互作用和亚晶格对称性与控制的形状。模拟器的有效性被确认为小系统使用平均场和精确对角化多体方法,该方法表明,基态的变化从金属反铁磁(AF)相通过改变站点之间的距离或深度的限制电位。这些三角形点的单电子谱包含费米能级的宏观简并壳层。壳层在弱相互作用(金属相)的平均场水平下持续存在,但在AF相的强相互作用下消失。我们确定的基态,总自旋和激发光谱作为填充的ATGQD的功能的电子-电子相互作用的影响。我们发现,半充满的电荷中性壳层导致部分自旋极化状态在金属和AF制度根据Liebs定理。在这两种制度中,一个相对较大的差距分离自旋极化的基态的第一个激发多体状态在半填充的简并壳。通过添加或移除电子,该带隙急剧下降,并且交替的总自旋态出现,其能量几乎退化到自旋极化基态。

英文摘要:

We describe here a quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry. The simulator consists of a structured lateral gate confining two dimensional electrons in a quantum well into artificial minima arranged in a hexagonal lattice. The sublattice symmetry breaking is generated by forming an artificial triangular graphene quantum dot (ATGQD) with zigzag edges. The resulting extended Hubbard model generates tunable ratio of tunneling strength to electron-electron interactions and of sublattice symmetry with control over shape. The validity of the simulator is confirmed for small systems using mean-field and exact diagonalization many-body approaches which show that the ground state changes from a metallic to an antiferromagnetic (AF) phase by varying the distance between sites or depth of the confining potential. The one-electron spectrum of these triangular dots contains a macroscopically degenerate shell at the Fermi level. The shell persists at the mean-field level for weak interactions (metallic phase) but disappears for strong interactions, in the AF phase. We determine the effects of electron-electron interactions on the ground state, the total spin, and the excitation spectrum as a function of filling of the ATGQD. We find that the half-filled charge neutral shell leads to a partially spin polarized state in both metallic and AF regimes in accordance with Liebs theorem. In both regimes a relatively large gap separates the spin polarized ground state to the first excited many-body state at half filling of the degenerate shell. By adding or removing an electron, this gap drops dramatically, and alternate total spin states emerge with energies nearly degenerate to a spin polarized ground state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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