标题： 掺杂平面狄拉克绝缘体中的超导性：重整化群研究 显示英文标题

标题： Superconductivity in doped planar Dirac insulators: A renormalization group study

摘要： 从一个一阶无偏的重整化群分析中，我们在这里展示了在二维掺杂狄拉克绝缘体中，纯排斥电子-电子相互作用如何产生超导性（包括拓扑性的），该系统具有费米面。在没有化学掺杂的情况下，这些系统描述了量子反常或自旋霍尔和正常绝缘体。否则，一个简单连接的费米面会在拓扑区域深处变成环形的。通过考虑所有对称允许的排斥局部四费米子相互作用，我们表明低温下产生的超导态的性质遵循某些克莱夫福德代数选择规则，无论底层费米面的拓扑结构如何。在微观哈伯德模型的框架内，具有相反轨道（自旋投影）的费米子之间的局域排斥通常倾向于拓扑$p$-波（常规$s$-波）配对。理论上预测的超导性原则上可以在量子反常和自旋霍尔绝缘体的有希望的候选材料被掺杂以促进费米面后在实验中观察到。 显示英文摘要

摘要： From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac insulators, featuring a Fermi surface. In the absence of chemical doping, such systems describe quantum anomalous or spin Hall and normal insulators. Otherwise a simply connected Fermi surface becomes annular deep inside the topological regime. By considering all symmetry allowed repulsive local four-fermion interactions, we show that the nature of the resulting superconducting states at low temperature follows certain Clifford algebraic selection rules, irrespective of the underlying Fermi surface topology. Within the framework of a microscopic Hubbard model, on-site repulsion among fermions with opposite orbitals (spin projections) typically favors topological $p$-wave (conventional $s$-wave) pairing. Theoretically predicted superconductivity can in principle be observed in experiments once the promising candidate materials for quantum anomalous and spin Hall insulators are doped to foster Fermi surfaces.