Time-induced second-order topological superconductors

Abstract

Higher-order topological materials with topologically protected states at the boundaries of their boundaries (hinges or corners) have attracted attention in recent years. In this paper, we utilize time-periodic driving to generate second-order topological superconductors out of systems which otherwise do not even allow second-order topological characterization. This is made possible by the design of the periodic drives which inherently exhibit nontrival winding in the time-domain. Through the interplay of topology in both spatial and temporal dimensions, nonchiral Majorana modes may emerge at the systems corners and sometimes even coexist with chiral Majorana modes. Our proposal thus presents a unique opportunity to Floquet engineering with minimal system complexity and its application in quantum information processing.

17 pages, 11 figures, new results added and discussion improved. Published version

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• Floquet Second Order Topological Superconductor based on Unconventional Pairing
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• Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder
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• Simulating Floquet topological phases in static systems
• Dynamical Fragile Topology in Floquet Crystals
• Floquet higher-order topological phases in momentum space
• Gapless higher-order topology and corner states in Floquet systems
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• Squashed entanglement in one-dimensional quantum matter
• Topological reflection matrix
• Higher-order topological superconductor phases in a multilayer system
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Mixed-parity octupolar pairing and corner Majorana modes in three dimensions
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Quantum-vacuum-protected topological edge polaritons
• Dynamical Symmetry Indicators for Floquet Crystals
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Floquet second-order topological insulator in strained graphene
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• Noise resilience of two-dimensional Floquet topological phases