Dynamical construction of quadrupolar and octupolar topological superconductors
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In this paper , a three-step periodic drive protocol was proposed to engineer two-dimensional (2D) Floquet quadrupole superconductors and three-dimensional Floquet octupole supercondors hosting zero-dimensional Majorana corner modes (MCMs).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. read more
Citations
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Non-Hermitian higher-order topological superconductors in two dimensions: Statics and dynamics
TL;DR: In this paper , a second-order topological superconductor (SOTSC) model that hosts Majorana zero modes (MZMs) was proposed, which is protected by mirror rotation symmetry and remains robust under onsite random disorder.
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Hinge-mode dynamics of periodically driven higher-order Weyl semimetals
TL;DR: In this paper , the dynamics of hinge modes of a second-order topological material modeled by a tight-binding free fermion Hamiltonian on a cubic lattice in the intermediate drive frequency regime for both discrete (square pulse) and continuous (cosine) periodic drive protocols were analyzed.
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Generating Many Majorana Corner Modes and Multiple Phase Transitions in Floquet Second-Order Topological Superconductors
TL;DR: In this paper , the authors apply periodic driving fields to two-dimensional superconductors, and obtain a wide variety of Floquet second-order topological superconducting (SOTSC) phases with many Majorana corner modes at both zero and π quasienergies.
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Topological invariants for anomalous Floquet higher-order topological insulators
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Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
TL;DR: In this paper , the authors explore the interplay between periodic driving, interaction effects, and Floquet symmetry that leads to the emergence of second-order topological phases in a simple but insightful two-dimensional spin-1/2 lattice.
References
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