Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal

Abstract Multiferroic materials can host a plethora of intriguing phenomena due to the presence of multiple ferroic properties that break both spatial inversion symmetry and time reversal symmetry at an observable scale. Hexagonal manganite multiferroics are of particular interest as the properties...

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Main Authors: Mansoor A. Najeeb, David Serban, Daniel G. Porter, Frank Lichtenberg, Stephen P. Collins, Alessandro Bombardi, Nicola A. Spaldin, Marcus C. Newton
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Communications Materials
Online Access:https://doi.org/10.1038/s43246-025-00738-x
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author Mansoor A. Najeeb
David Serban
Daniel G. Porter
Frank Lichtenberg
Stephen P. Collins
Alessandro Bombardi
Nicola A. Spaldin
Marcus C. Newton
author_facet Mansoor A. Najeeb
David Serban
Daniel G. Porter
Frank Lichtenberg
Stephen P. Collins
Alessandro Bombardi
Nicola A. Spaldin
Marcus C. Newton
author_sort Mansoor A. Najeeb
collection DOAJ
description Abstract Multiferroic materials can host a plethora of intriguing phenomena due to the presence of multiple ferroic properties that break both spatial inversion symmetry and time reversal symmetry at an observable scale. Hexagonal manganite multiferroics are of particular interest as the properties of their symmetry-lowering phase transition can be described by a Mexican-hat-like potential energy surface. The early universe is proposed to have undergone a symmetry-lowering phase transition that is described by a similar Mexican-hat-like potential that gives rise to the formation of one-dimensional topologically protected defects known as cosmic strings. According to the Kibble-Zurek mechanism, hexagonal manganite multiferroics can host the crystallographic equivalent of cosmic strings and can therefore serve as a testing ground for exploration of concepts in cosmology. To date, however, direct imaging of 1D topological defects in a condensed matter material system has not been achieved. Here we report on robust three-dimensional imaging of topologically protected strings in a single hexagonal manganite nanocrystal, enabled by advances in experimental techniques. Our findings reveal multiferroic strings with a preferred phase vortex winding direction and average separation of  ~93 nm.
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spelling doaj-art-b679a41bc37348e398c36384ac10b58f2025-01-19T12:32:53ZengNature PortfolioCommunications Materials2662-44432025-01-01611810.1038/s43246-025-00738-xThree-dimensional imaging of topologically protected strings in a multiferroic nanocrystalMansoor A. Najeeb0David Serban1Daniel G. Porter2Frank Lichtenberg3Stephen P. Collins4Alessandro Bombardi5Nicola A. Spaldin6Marcus C. Newton7Physics & Astronomy, University of SouthamptonPhysics & Astronomy, University of SouthamptonDiamond Light Source, Harwell Science & Innovation CampusDepartment of Materials, ETH ZürichDiamond Light Source, Harwell Science & Innovation CampusDiamond Light Source, Harwell Science & Innovation CampusDepartment of Materials, ETH ZürichPhysics & Astronomy, University of SouthamptonAbstract Multiferroic materials can host a plethora of intriguing phenomena due to the presence of multiple ferroic properties that break both spatial inversion symmetry and time reversal symmetry at an observable scale. Hexagonal manganite multiferroics are of particular interest as the properties of their symmetry-lowering phase transition can be described by a Mexican-hat-like potential energy surface. The early universe is proposed to have undergone a symmetry-lowering phase transition that is described by a similar Mexican-hat-like potential that gives rise to the formation of one-dimensional topologically protected defects known as cosmic strings. According to the Kibble-Zurek mechanism, hexagonal manganite multiferroics can host the crystallographic equivalent of cosmic strings and can therefore serve as a testing ground for exploration of concepts in cosmology. To date, however, direct imaging of 1D topological defects in a condensed matter material system has not been achieved. Here we report on robust three-dimensional imaging of topologically protected strings in a single hexagonal manganite nanocrystal, enabled by advances in experimental techniques. Our findings reveal multiferroic strings with a preferred phase vortex winding direction and average separation of  ~93 nm.https://doi.org/10.1038/s43246-025-00738-x
spellingShingle Mansoor A. Najeeb
David Serban
Daniel G. Porter
Frank Lichtenberg
Stephen P. Collins
Alessandro Bombardi
Nicola A. Spaldin
Marcus C. Newton
Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
Communications Materials
title Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
title_full Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
title_fullStr Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
title_full_unstemmed Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
title_short Three-dimensional imaging of topologically protected strings in a multiferroic nanocrystal
title_sort three dimensional imaging of topologically protected strings in a multiferroic nanocrystal
url https://doi.org/10.1038/s43246-025-00738-x
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