论文标题
3D Hofstadter Butterfly中的几何超导性
Geometric Superconductivity in 3D Hofstadter Butterfly
论文作者
论文摘要
晶格上的电子受到强磁场的影响，表现出电子的分形光谱，这被称为霍夫斯塔特蝴蝶。在这项工作中，我们研究了三维Hofstadter蝴蝶系统中非常规超导性。虽然通常很难实现霍夫史塔特制度，但我们表明，带有倾斜磁场的准两维材料会产生大规模的超级晶格，即使在适度的磁场强度下，也会产生Hofstadter Butterfly。我们首先表明，蝴蝶扁平带的Van-hove奇异性大大提高了超导临界温度，从而提供了一种新的实地增强超导性的机制。此外，我们证明了Landau迷你频段的量子几何形状在描述超导性的描述中起着至关重要的作用，这被证明与常规超导体明显不同。最后，我们讨论了结果与最近发现的强磁场中UTE2的重点超导性的相关性。
Electrons on the lattice subject to a strong magnetic field exhibit the fractal spectrum of electrons, which is known as the Hofstadter butterfly. In this work, we investigate unconventional superconductivity in a three-dimensional Hofstadter butterfly system. While it is generally difficult to achieve the Hofstadter regime, we show that the quasi-two-dimensional materials with a tilted magnetic field produce the large-scale superlattices, which generate the Hofstadter butterfly even at the moderate magnetic field strength. We first show that the van-Hove singularities of the butterfly flat bands greatly elevate the superconducting critical temperature, offering a new mechanism of field-enhanced superconductivity. Furthermore, we demonstrate that the quantum geometry of the Landau mini-bands plays a crucial role in the description of the superconductivity, which is shown to be clearly distinct from the conventional superconductors. Finally, we discuss the relevance of our results to the recently discovered re-entrant superconductivity of UTe2 in strong magnetic fields.
