论文标题
二维中的非高级高阶拓扑超导体：静态和动力学
Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
论文作者
论文摘要
在非热（NH）拓扑绝缘子的背景下，以诸如传统散装边界对应关系的崩溃和皮肤模式的出现等有趣的现象的动机，我们在这里提出了一个NH二阶拓扑超导体（SOTSC）模型，该模型托有主体零模式（mzms）。我们采用了NH哈密顿量的非Bloch形式，我们通过生物表定嵌套的极化来拓扑表征上述模式，并解决了块状边界对应关系的明显崩溃。与Hermitian SOTSC不同，我们注意到MZMS在二维NH SOTSC中只有四个角落。我们将静态MZM扩展到Floquet驱动器的领域。除了常规$ 0 $ -MODE外，我们还发现异常的$π$ -Mode，通常是在高频制度中进行设计的。我们进一步描述了带有生物融合的浮部嵌套极化的常规$ 0 $ mode。我们的建议不仅限于$ d $ - 波超导率，并且可以在实验中实现与密切相关的光学晶格平台。
Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we here propose a NH second-order topological superconductor (SOTSC) model that hosts Majorana zero modes (MZMs). Employing the non-Bloch form of NH Hamiltonian, we topologically characterize the above modes by biorthogonal nested polarization and resolve the apparent breakdown of the bulk boundary correspondence. Unlike the Hermitian SOTSC, we notice that the MZMs inhabit only one corner out of four in the two-dimensional NH SOTSC. We extend the static MZMs into the realm of Floquet drive. We find anomalous $π$-mode following low-frequency mass-kick in addition to the regular $0$-mode that is usually engineered in a high-frequency regime. We further characterize the regular $0$-mode with biorthogonal Floquet nested polarization. Our proposal is not limited to the $d$-wave superconductivity only and can be realized in the experiment with strongly correlated optical lattice platforms.
