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arXiv 2608.00167cond-mat.str-el

菱面石墨烯:多晶体的故事

Rhombohedral Graphene: A Tale of Many Crystals

Ahmed Abouelkomsan, Filippo Gaggioli, Daniele Guerci, Liang Fu

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中文总结 AI 辅助

本研究针对菱面石墨烯,提出由非相互作用能带色散导出的指标识别强关联区域,结合Hartree-Fock理论的神经网络变分蒙特卡洛方法求解基态,发现多种新型电子晶体并探讨其与超导电性的关联。

中文摘要 AI 辅助

菱面石墨烯的实验已揭示出极为丰富的关联量子相,从手性超导体到电子晶体,均属于同一类原子级薄材料。本文引入一个由非相互作用能带色散导出的简单指标,可依据载流子密度与位移场,识别菱面石墨烯相图中的强关联区域。我们开发了结合Hartree-Fock理论的神经网络变分蒙特卡洛方法,求解相互作用基态。计算揭示出多种无经典对应物的电子晶体,随密度增加包括:维格纳晶体、自掺杂维格纳晶体,以及“反晶体”——电子液体中的空穴晶格。我们讨论了它们的实验表现及与超导电性的潜在关联。

英文摘要

Experiments on rhombohedral graphene have uncovered an extraordinary wealth of correlated quantum phases - from chiral superconductors to electronic crystals - all within a single family of atomically thin materials. Here, we introduce a simple indicator, derived from the noninteracting band dispersion, that identifies strongly correlated regions in the phase diagram of rhombohedral graphene as a function of carrier density and displacement field. We develop a neural-network variational Monte Carlo method, combined with Hartree-Fock theory, to solve the interacting ground states. Our calculation reveals a variety of electron crystals with no classical analog. These include, at increasing density: Wigner crystal, self-doped Wiger crystal, as well as ''anticrystal'', a lattice of holes in an electron liquid. We discuss their experimental manifestations and possible connection to superconductivity.

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