Year: 2022
Type: article
Abstract: We propose a three-step periodic drive protocol to engineer two-dimensional (2D) Floquet quadrupole superconductors and three-dimensional (3D) Floquet octupole superconductors hosting zero-dimensional Majorana corner modes (MCMs), based on unconventional $d$-wave superconductivity. Remarkably, the driven system conceives four phases with only zero MCMs, no MCMs, only anomalous $\ensuremath{\pi}$ MCMs, and both regular zero and anomalous $\ensuremath{\pi}$ MCMs. To circumvent the subtle issue of characterizing zero and $\ensuremath{\pi}$ MCMs separately, we employ the periodized evolution operator to architect the dynamical invariants, namely quadrupole and octupole motion in 2D and 3D, respectively, that can distinguish different higher-order topological phases unambiguously. Our study paves the way for the realization of dynamical quadrupolar and octupolar topological superconductors.
Authors: Arnob Kumar Ghosh, Tanay Nag, Arijit Saha
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4221146680