IMSc Webinar

Dynamical construction of Quadrupolar and Octupolar topological superconductors

Tanay Nag

Department of Physics and Astronomy, Materials Theory, Uppsala University, Sweden

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 0 MCMs, no MCMs, only anomalous pi MCMs, and both regular 0 and anomalous pi MCMs. To circumvent the subtle issue of characterizing 0 and 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.

Zoom link:
zoom.us/j/95013731797

Passcode:
656438