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Title: Topologically Allowed Nonsixfold Vortices in a Sixfold Multiferroic Material: Observation and Classification

Abstract

Here, we report structural transformation of sixfold vortex domains into two-, four-, and eightfold vortices via a different type of topological defect in hexagonal manganites. Combining high-resolution electron microscopy and Landau-theory-based numerical simulations, we also investigate the remarkable atomic arrangement and the intertwined relationship between the vortex structures and the topological defects. The roles of their displacement field, formation temperature, and nucleation sites are revealed. All conceivable vortices in the system are topologically classified using homotopy group theory, and their origins are identified.

Authors:
 [1];  [2];  [3];  [4];  [5];  [2];  [4];  [3]
  1. Tsinghua Univ., Beijing (China). School of Materials Science and Engineering; Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science
  2. King Abdullah Univ. of Science and Technology, Thuwal (Saudi Arabia). Division of Physical and Science Engineering
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science
  4. Tsinghua Univ., Beijing (China). School of Materials Science and Engineering
  5. Beijing Normal Univ., Beijing (China, People's Republic of). Dept. of Physics
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1412651
Alternate Identifier(s):
OSTI ID: 1349972
Report Number(s):
BNL-114367-2017-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: MA015MACA; KC0201010; TRN: US1800317
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 14; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Cheng, Shaobo, Li, Jun, Han, Myung-Geun, Deng, Shiqing, Tan, Guotai, Zhang, Xixiang, Zhu, Jing, and Zhu, Yimei. Topologically Allowed Nonsixfold Vortices in a Sixfold Multiferroic Material: Observation and Classification. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.145501.
Cheng, Shaobo, Li, Jun, Han, Myung-Geun, Deng, Shiqing, Tan, Guotai, Zhang, Xixiang, Zhu, Jing, & Zhu, Yimei. Topologically Allowed Nonsixfold Vortices in a Sixfold Multiferroic Material: Observation and Classification. United States. https://doi.org/10.1103/PhysRevLett.118.145501
Cheng, Shaobo, Li, Jun, Han, Myung-Geun, Deng, Shiqing, Tan, Guotai, Zhang, Xixiang, Zhu, Jing, and Zhu, Yimei. Wed . "Topologically Allowed Nonsixfold Vortices in a Sixfold Multiferroic Material: Observation and Classification". United States. https://doi.org/10.1103/PhysRevLett.118.145501. https://www.osti.gov/servlets/purl/1412651.
@article{osti_1412651,
title = {Topologically Allowed Nonsixfold Vortices in a Sixfold Multiferroic Material: Observation and Classification},
author = {Cheng, Shaobo and Li, Jun and Han, Myung-Geun and Deng, Shiqing and Tan, Guotai and Zhang, Xixiang and Zhu, Jing and Zhu, Yimei},
abstractNote = {Here, we report structural transformation of sixfold vortex domains into two-, four-, and eightfold vortices via a different type of topological defect in hexagonal manganites. Combining high-resolution electron microscopy and Landau-theory-based numerical simulations, we also investigate the remarkable atomic arrangement and the intertwined relationship between the vortex structures and the topological defects. The roles of their displacement field, formation temperature, and nucleation sites are revealed. All conceivable vortices in the system are topologically classified using homotopy group theory, and their origins are identified.},
doi = {10.1103/PhysRevLett.118.145501},
journal = {Physical Review Letters},
number = 14,
volume = 118,
place = {United States},
year = {Wed Apr 05 00:00:00 EDT 2017},
month = {Wed Apr 05 00:00:00 EDT 2017}
}

Journal Article:

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Cited by: 18 works
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Works referenced in this record:

Direct Evidence for Cation Non-Stoichiometry and Cottrell Atmospheres Around Dislocation Cores in Functional Oxide Interfaces
journal, June 2010

  • Arredondo, Miryam; Ramasse, Quentin M.; Weyland, Matthew
  • Advanced Materials, Vol. 22, Issue 22
  • DOI: 10.1002/adma.200903631

The topological theory of defects in ordered media
journal, July 1979


Dislocations in a simple cubic lattice
journal, March 1947


Duality of Topological Defects in Hexagonal Manganites
journal, December 2014


Conduction of Topologically Protected Charged Ferroelectric Domain Walls
journal, February 2012


The topology of non-uniform media in condensed matter physics
journal, June 1982


Evolution of the statistical distribution in a topological defect network
journal, November 2015

  • Xue, Fei; Wang, Xueyun; socolenco, Ion
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep17057

Topological defects in dispersed words and worlds around liquid crystals, or liquid crystal drops
journal, January 1998


Bulk magnetoelectricity in the hexagonal manganites and ferrites
journal, January 2014

  • Das, Hena; Wysocki, Aleksander L.; Geng, Yanan
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms3998

Structural domain walls in polar hexagonal manganites
journal, February 2013

  • Kumagai, Yu; Spaldin, Nicola A.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2545

Ferroelectric Switching Dynamics of Topological Vortex Domains in a Hexagonal Manganite
journal, March 2013


Measurement of strain fields in an edge dislocation
journal, January 2010


Semi-defects
journal, January 1984


The origin of ferroelectricity in magnetoelectric YMnO3
journal, February 2004

  • Van Aken, Bas B.; Palstra, Thomas T. M.; Filippetti, Alessio
  • Nature Materials, Vol. 3, Issue 3
  • DOI: 10.1038/nmat1080

Topology of cosmic domains and strings
journal, August 1976


Observation of coupled magnetic and electric domains
journal, October 2002

  • Fiebig, M.; Lottermoser, Th.; Fröhlich, D.
  • Nature, Vol. 419, Issue 6909
  • DOI: 10.1038/nature01077

Insulating interlocked ferroelectric and structural antiphase domain walls in multiferroic YMnO3
journal, February 2010

  • Choi, T.; Horibe, Y.; Yi, H. T.
  • Nature Materials, Vol. 9, Issue 3
  • DOI: 10.1038/nmat2632

Anisotropic conductance at improper ferroelectric domain walls
journal, February 2012

  • Meier, D.; Seidel, J.; Cano, A.
  • Nature Materials, Vol. 11, Issue 4
  • DOI: 10.1038/nmat3249

Strain mapping accuracy improvement using super-resolution techniques: STRAIN MAPPING ACCURACY IMPROVEMENT USING SUPER-RESOLUTION TECHNIQUES
journal, October 2015

  • BÁRcena-GonzÁLez, G.; Guerrero-Lebrero, M. P.; Guerrero, E.
  • Journal of Microscopy, Vol. 262, Issue 1
  • DOI: 10.1111/jmi.12341

Landau theory of topological defects in multiferroic hexagonal manganites
journal, October 2013

  • Artyukhin, Sergey; Delaney, Kris T.; Spaldin, Nicola A.
  • Nature Materials, Vol. 13, Issue 1
  • DOI: 10.1038/nmat3786

An approach to the systematic distortion correction in aberration-corrected HAADF images
journal, January 2006


Interface lattice displacement measurement to 1pm by geometric phase analysis on aberration-corrected HAADF STEM images
journal, September 2013


Methods of topological obstruction theory in condensed matter physics
journal, September 1986

  • Ovid'ko, I. A.; Romanov, A. E.
  • Communications in Mathematical Physics, Vol. 105, Issue 3
  • DOI: 10.1007/BF01205936

Polymorphism of dislocation core structures at the atomic scale
journal, January 2014

  • Wang, Zhongchang; Saito, Mitsuhiro; McKenna, Keith P.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4239

The topological theory of semidefects in ordered media
journal, January 1989


Full-Field Strain Mapping at a Ge/Si Heterostructure Interface
journal, May 2013

  • Li, Jijun; Zhao, Chunwang; Xing, Yongming
  • Materials, Vol. 6, Issue 6
  • DOI: 10.3390/ma6062130

Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites
journal, December 2012


Quantitative measurement of displacement and strain fields from HREM micrographs
journal, August 1998


Ferroelectric transition in Y Mn O 3 from first principles
journal, September 2005


Ferroelectricity in the multiferroic hexagonal manganites
journal, September 2015

  • Lilienblum, Martin; Lottermoser, Thomas; Manz, Sebastian
  • Nature Physics, Vol. 11, Issue 12
  • DOI: 10.1038/nphys3468

Polarization Structures of Topological Domains in Multiferroic Hexagonal Manganites
journal, October 2014

  • Cheng, Shaobo; Zhao, Yonggang; Sun, Xuefeng
  • Journal of the American Ceramic Society, Vol. 97, Issue 11
  • DOI: 10.1111/jace.13257

The size of a dislocation
journal, January 1940


Real-space observation of a two-dimensional skyrmion crystal
journal, June 2010


Ferroelectric annular domains in hexagonal manganites
journal, March 2013


Experimental examination of displacement and strain fields in an edge dislocation core
journal, June 2008


Homotopy-Theoretic Study & Atomic-Scale Observation of Vortex Domains in Hexagonal Manganites
journal, June 2016

  • Li, Jun; Chiang, Fu-Kuo; Chen, Zhen
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep28047

Self-organization, condensation, and annihilation of topological vortices and antivortices in a multiferroic
journal, November 2010

  • Chae, S. C.; Horibe, Y.; Jeong, D. Y.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 50
  • DOI: 10.1073/pnas.1011380107

Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
journal, November 2014

  • Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo
  • Nature Physics, Vol. 10, Issue 12
  • DOI: 10.1038/nphys3142

Works referencing / citing this record:

A Novel Room-Temperature Multiferroic System of Hexagonal Lu 1− x In x FeO 3
journal, January 2018

  • Liu, Juan; Sun, Tu Lai; Liu, Xiao Qiang
  • Advanced Functional Materials, Vol. 28, Issue 13
  • DOI: 10.1002/adfm.201706062

Revealing the Effects of Trace Oxygen Vacancies on Improper Ferroelectric Manganite with In Situ Biasing
journal, January 2019

  • Cheng, Shaobo; Meng, Qingping; Han, Myung‐Geun
  • Advanced Electronic Materials, Vol. 5, Issue 4
  • DOI: 10.1002/aelm.201800827

Broadband photodetection of 2D Bi2O2Se–MoSe2 heterostructure
journal, September 2019


Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory
journal, April 2018

  • Cheng, Shaobo; Zhang, Dong; Deng, Shiqing
  • Applied Physics Letters, Vol. 112, Issue 16
  • DOI: 10.1063/1.5024790

Single-phase multiferroics: new materials, phenomena, and physics
journal, July 2019

  • Lu, Chengliang; Wu, Menghao; Lin, Lin
  • National Science Review, Vol. 6, Issue 4
  • DOI: 10.1093/nsr/nwz091

Interface reconstruction with emerging charge ordering in hexagonal manganite
journal, May 2018