arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.03241cond-mat.mes-hallcond-mat.supr-con
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双扭曲双层石墨烯中的量子使能激子凝聚

Quantum-metric-enabled exciton condensate in double twisted bilayer graphene

Xiang Hu, Timo Hyart, Dmitry I. Pikulin, Enrico Rossi

摘要:

平带系统是实现具有自发破缺对称性的奇异集体基态的一个很有前途的平台,因为电子-电子相互作用主导了动能。特别感兴趣的集体基态是被追逐的激子凝聚体(EC)。然而,在平带系统中,其他集体基态可以与EC相竞争,并且热和量子涨落的影响的常规处理预测EC相应该是不稳定的。在这里,使用双扭曲双层石墨烯(TBLG)异质结构作为一个例子,我们表明,对于现实的相互作用强度的EC阶段是有利于相对于其他TBLG的阶段-轨道磁性和超导性-当TBLG具有相反的掺杂,和布洛赫波函数的量子度量稳定EC,这与忽略量子度规贡献的传统方法所得出的结论相反。我们的结果表明,量子度规在决定由平带系统形成的双层中激子凝聚的稳定性方面起着至关重要的作用。

英文摘要:

Flat-band systems are a promising platform for realizing exotic collective ground states with spontaneously broken symmetry because the electron-electron interactions dominate over the kinetic energy. A collective ground state of particular interest is the chased after exciton condensate (EC). However, in flat band systems other collective ground states can compete with an EC phase, and the conventional treatment of the effect of thermal and quantum fluctuations predicts the EC phase should be unstable. Here, using double twisted bilayer graphene (TBLG) heterostructures as an example, we show that for realistic interaction strengths the EC phase is favored with respect to other TBLG's phases -- orbital magnetism and superconductivity -- when the TBLGs have opposite doping, and that the quantum metric of the Bloch wave functions stabilizes the EC, reversing the conclusion that would be drawn from the conventional approach in which quantum metric contributions are neglected. Our results suggest that the quantum metric plays a critical role in determining the stability of exciton condensates in double layers formed by systems with flat-bands.

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