论文标题

Andreev绑定的状态在两极分化的2D费米超级流体的边界,带有S波配对和自旋轨道耦合

Andreev bound states at boundaries of polarized 2D Fermi superfluids with s-wave pairing and spin-orbit coupling

论文作者

Thompson, Kadin, Brand, Joachim, Zülicke, Ulrich

论文摘要

预计以S波配对,旋转轨道耦合和大型的Zeeman拆分,以二维费米超级流体形成,其出现的手性P波对势为特征。 Andreev Bound状态出现在相边界处,包括Majorana零模式,其存在是由宽大的对应原理确保的。在这里,我们使用自旋分辨的Bogoliubov-Degennes平均场形式主义并假设具有小的自旋轨道耦合,研究了这些亚仪 - 能量结合态在阶梯式界面处的物理特性。扩展了基于Feshbach分区的最近开发的自旋投射技术[Scipost Phys。 5,016(2018)]与Andreev近似结合使用,使我们能够为边界能量以及其波函数的大多数和少数旋转成分获得非常简单的分析表达式。除了遇到大多数旋转Majorax激发的真空边界外,我们还考虑了由于该系统预测的一阶拓扑相变,拓扑和非人体学超流相之间的边界可以出现在共存的情况下。在这个超流体融合界面上,我们找到了由少数派服务部门托管的局部性手性主体模式。我们的理论进一步预测了多数旋转亚gap-Emgy结合状态,类似于同学P波超氟之间的约瑟夫森连接处的状态。由于少数族裔和多数旋转部门的耦合,它们的存在仅在光谱重叠的小能量范围内,就会影响Majoraana模式。我们的结果可能会为旨在实现和表征非常规的主要粒子的实验努力提供信息。

A topological superfluid phase characterized by an emergent chiral-p-wave pair potential is expected to form in a two-dimensional Fermi superfluid subject to s-wave pairing, spin-orbit coupling and a large-enough Zeeman splitting. Andreev bound states appear at phase boundaries, including Majorana zero modes whose existence is assured by the bulk-boundary correspondence principle. Here we study the physical properties of these subgap-energy bound states at step-like interfaces using the spin-resolved Bogoliubov-deGennes mean-field formalism and assuming small spin-orbit coupling. Extending a recently developed spin-projection technique based on Feshbach partitioning [SciPost Phys. 5, 016 (2018)] combined with the Andreev approximation allows us to obtain remarkably simple analytical expressions for the bound-state energies as well as the majority and minority spin components of their wave functions. Besides the vacuum boundary, where a majority-spin Majorana excitation is encountered, we also consider the boundary between the topological and a nontopological superfluid phase that can appear in a coexistence scenario due to the first-order topological phase transition predicted for this system. At this superfluid-superfluid interface, we find a localized chiral Majorana mode hosted by the minority-spin sector. Our theory further predicts majority-spin subgap-energy bound states similar to those found at a Josephson junction between same-chirality p-wave superfluids. Their presence affects the Majorana mode due to a coupling of minority and majority spin sectors only in the small energy range where their spectra overlap. Our results may inform experimental efforts aimed at realizing and characterizing unconventional Majorana quasiparticles.

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