AI 中文总结
研究非平凡量子几何与条纹势相互作用对二维单味金属超导性的影响，通过假设弱接触吸引作用等，在准一维极限下解析得出两种配对态，包括横向\(p_x\)波序，建立了用条纹势控制配对对称性的方法。
AI 中文摘要
我们研究了非平凡量子几何与外加条纹势之间的相互作用如何影响二维单味金属中的超导性。假设弱接触吸引相互作用，并聚焦于强条纹势存在下的最低子带，我们在准一维极限下解析地推导出两种可能的配对态。除了传统的纵向\(p_y\)波序（条纹沿\(y\)方向），我们发现一种奇特的横向\(p_x\)波序可以被稳定下来。这两种序之间的竞争由每个条纹的电子密度和贝里曲率修饰的相互作用控制。值得注意的是，横向\(p_x\)波序在\(k_x = 0\)处形成一个节线，而纵向\(p_y\)序是完全能隙的。我们讨论了区分这些序的可能实验探针。我们的结果建立了一种通过条纹势控制配对对称性的方法，预测了具有非平凡量子几何的超导性。
英文摘要
We study how the interplay between nontrivial quantum geometry and an applied stripe potential affects superconductivity in a two-dimensional single-flavor metal. Assuming a weak contact attractive interaction and focusing on the lowest subband in the presence of a strong stripe potential, we analytically derive two possible pairing states in the quasi-one-dimensional limit. In addition to the conventional longitudinal $p_y$-wave order (with the stripes along the $y$ direction), we find that an exotic transverse $p_x$-wave order can be stabilized. The competition between these two orders is controlled by the electron density of each stripe and the Berry-curvature-dressed interaction. Notably, the transverse $p_x$ wave order develops a nodal line at $k_x=0$, while the longitudinal $p_y$ order is fully gapped. We discuss the possible experimental probes distinguishing these orders. Our results establish a way of controlling the pairing symmetry through a stripe potential, predicting superconductivity with nontrivial quantum geometry.
Comments16 pages, 6 figures
