Dynamical construction of quadrupolar and octupolar topological superconductors
Arnob Kumar Ghosh, Tanay Nag, Arijit Saha
DOI 10.1103/PhysRevB.105.155406 · Physical Review B
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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 π MCMs, and both regular zero and anomalous π MCMs. To circumvent the subtle issue of characterizing zero and π 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.
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