Driven Majorana modes: A route to synthetic px+ipy superconductivity

We propose a protocol to realize synthetic px+ipy superconductors in one-dimensional topological systems that host Majorana fermions. By periodically driving a localized Majorana mode across the system, our protocol realizes a topological pumping of Majorana fermions, analogous to the adiabatic Thou...

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Bibliographic Details
Main Authors: Lingyu Yang, Gia-Wei Chern, Shi-Zeng Lin
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Materials Today Quantum
Online Access:http://www.sciencedirect.com/science/article/pii/S295025782500023X
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Summary:We propose a protocol to realize synthetic px+ipy superconductors in one-dimensional topological systems that host Majorana fermions. By periodically driving a localized Majorana mode across the system, our protocol realizes a topological pumping of Majorana fermions, analogous to the adiabatic Thouless pumping of electrical charges. Importantly, similar to the realization of a Chern insulator through Thouless pumping, we show that pumping of Majorana zero modes could lead to a px+ipy superconductor in the two dimensions of space and synthetic time. The Floquet theory is employed to map the driven one-dimensional system to a two-dimensional synthetic system by considering frequency as a new dimension. We demonstrate such Floquet px+ipy superconductors using the Kitaev p-wave superconductor chain, a prototypical 1D topological system, as well as its more realistic realization in the 1D Kondo lattice model as examples. We further show the appearance of Majorana π mode at the Floquet zone boundary in an intermediate drive frequency region. Our work suggests a driven magnetic spiral coupled to a superconductor as a promising platform for the realization of novel topological superconductors.
ISSN:2950-2578