论文标题

具有超质电势的反击无旋转费的超导性

Superconductivity of repulsive spinless fermions with sublattice potentials

论文作者

He, Yuchi, Yang, Kang, Profe, Jonas B., Bergholtz, Emil J., Kennes, Dante M.

论文摘要

我们探索具有交错的sublattice电位的正方形和蜂窝晶格上排斥无旋转费的非常规超导性。这两个格子可以表现出交错的$ d $ - 波和$ f $ - 波配对,分别是由于有效的两谷带结构而引起的低掺杂。尤其是在较高的掺杂,方形晶格显示了更丰富的相图,包括拓扑$ p+ip $超导率,与$ d $ - 波配对相比,它是由​​质量不同的机制引起的。我们从几个互补的角度来阐明了这一点:我们通过分析执行sublattice投影来分析有效的连续体低能描述,并在数值上计算成对和较大界面状态的结合能,以使几个体掺杂的几个掺杂量接近一半填充。此外,对于有限的掺杂,我们基于广泛的功能重新归一化组和密度基质重新归一化组计算提出相图。

We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered $d$-wave and $f$-wave pairing, respectively, at low doping stemming from an effective two-valley band structure. At higher doping, in particular, the square lattice displays a much richer phase diagram including topological $p+ip$ superconductivity which is induced by a qualitatively different mechanism compared to the $d$-wave pairing. We illuminate this from several complementary perspectives: We analytically perform sublattice projection to analyze the effective continuum low-energy description and we numerically calculate the binding energies for pair and larger bound states for few-body doping near half filling. Furthermore, for finite doping, we present phase diagrams based on extensive functional renormalization group and and density matrix renormalization group calculations.

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