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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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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author Lingyu Yang
Gia-Wei Chern
Shi-Zeng Lin
author_facet Lingyu Yang
Gia-Wei Chern
Shi-Zeng Lin
author_sort Lingyu Yang
collection DOAJ
description 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.
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spelling doaj-art-d76c3a8b95714c08ba59d14b729e4a052025-06-25T04:52:58ZengElsevierMaterials Today Quantum2950-25782025-09-017100045Driven Majorana modes: A route to synthetic px+ipy superconductivityLingyu Yang0Gia-Wei Chern1Shi-Zeng Lin2Theoretical Division, T-4 and CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, USA; Department of Physics, University of Virginia, Charlottesville, VA, 22904, USADepartment of Physics, University of Virginia, Charlottesville, VA, 22904, USATheoretical Division, T-4 and CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, USA; Center for Integrated Nanotechnologies (CINT), Los Alamos National Laboratory, Los Alamos, NM 87545, USA; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S295025782500023X
spellingShingle Lingyu Yang
Gia-Wei Chern
Shi-Zeng Lin
Driven Majorana modes: A route to synthetic px+ipy superconductivity
Materials Today Quantum
title Driven Majorana modes: A route to synthetic px+ipy superconductivity
title_full Driven Majorana modes: A route to synthetic px+ipy superconductivity
title_fullStr Driven Majorana modes: A route to synthetic px+ipy superconductivity
title_full_unstemmed Driven Majorana modes: A route to synthetic px+ipy superconductivity
title_short Driven Majorana modes: A route to synthetic px+ipy superconductivity
title_sort driven majorana modes a route to synthetic px ipy superconductivity
url http://www.sciencedirect.com/science/article/pii/S295025782500023X
work_keys_str_mv AT lingyuyang drivenmajoranamodesaroutetosyntheticpxipysuperconductivity
AT giaweichern drivenmajoranamodesaroutetosyntheticpxipysuperconductivity
AT shizenglin drivenmajoranamodesaroutetosyntheticpxipysuperconductivity