论文标题

Skyrmion超导性:DMRG超导性拓扑途径的DMRG证据

Skyrmion Superconductivity: DMRG evidence for a topological route to superconductivity

论文作者

Chatterjee, Shubhayu, Ippoliti, Matteo, Zaletel, Michael P.

论文摘要

最近有人提出,魔法扭曲的双层石墨烯(MATBG)的扁平带的拓扑可以为超导性提供与弱耦合的BCS理论和高$ $ $ t_c $ t_c $ cuprates的$ d $ wave现象学不同的新颖机制。在这项工作中,我们使用密度矩阵重新归一化组(DMRG)研究对捕获MATBG对称性和拓扑的基本特征的模型进行了研究。使用大型气缸-DMRG计算以获得基态及其激发作为电子掺杂的函数,我们发现了由电子结合到电荷驱动的超导性的明确证据-2e $ 2e $ skyrmions。值得注意的是,即使在未经筛选的库仑排斥力的制度中也观察到这种结合,这是最大的能量量表,这表明了这种拓扑,全电子配对机制的鲁棒性。

It was recently suggested that the topology of magic-angle twisted bilayer graphene's (MATBG) flat bands could provide a novel mechanism for superconductivity distinct from both weakly-coupled BCS theory and the $d$-wave phenomenology of the high-$T_c$ cuprates. In this work, we examine this possibility using a density matrix renormalization group (DMRG) study of a model which captures the essential features of MATBG's symmetry and topology. Using large scale cylinder-DMRG calculations to obtain the ground state and its excitations as a function of the electron doping, we find clear evidence for superconductivity driven by the binding of electrons into charge-$2e$ skyrmions. Remarkably, this binding is observed even in the regime where the unscreened Coulomb repulsion is by-far the largest energy scale, demonstrating the robustness of this topological, all-electronic pairing mechanism.

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