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Title: Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory

Topological defects and their interactions often arouse multiple types of emerging phenomena from edge states in Skyrmions to disclination pairs in liquid crystals. In hexagonal manganites, partial edge dislocations, a prototype topological defect, are ubiquitous and they significantly alter the topologically protected domains and their behaviors. In this work, combining electron microscopy experiment and graph theory analysis, we report a systematic study of the connections and configurations of domains in this dislocation embedded system. Rules for domain arrangement are established. The dividing line between domains, which can be attributed by the strain field of dislocations, is accurately described by a genus model from a higher dimension in the graph theory. In conclusion, our results open a door for the understanding of domain patterns in topologically protected multiferroic systems.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4] ; ORCiD logo [5] ; ORCiD logo [4] ;  [1]
  1. Tsinghua Univ., Beijing (China). National Center for Electron Microscopy in Beijing, School of Materials Science and Engineering, The State Key Laboratory of New Ceramics and Fine Processing, Key Laboratory of Advanced Materials (MOE)
  2. Peking Univ., Beijing (China). LMAM and School of Mathematical Sciences
  3. Zhengzhou University (China). Department of Engineering Physics
  4. Brookhaven National Lab. (BNL), Upton, NY (United States). Department of Condensed Matter Physics and Materials Science
  5. Beijing Normal University (China). Department of Physics
Publication Date:
Report Number(s):
BNL-205788-2018-JAAM
Journal ID: ISSN 0003-6951
Grant/Contract Number:
SC0012704; AC02-98CH10886
Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 112; Journal Issue: 16; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Transmission electron microscopy; hexagonal manganites; multiferroics; graph theory
OSTI Identifier:
1456899

Cheng, Shaobo, Zhang, Dong, Deng, Shiqing, Li, Xing, Li, Jun, Tan, Guotai, Zhu, Yimei, and Zhu, Jing. Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory. United States: N. p., Web. doi:10.1063/1.5024790.
Cheng, Shaobo, Zhang, Dong, Deng, Shiqing, Li, Xing, Li, Jun, Tan, Guotai, Zhu, Yimei, & Zhu, Jing. Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory. United States. doi:10.1063/1.5024790.
Cheng, Shaobo, Zhang, Dong, Deng, Shiqing, Li, Xing, Li, Jun, Tan, Guotai, Zhu, Yimei, and Zhu, Jing. 2018. "Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory". United States. doi:10.1063/1.5024790.
@article{osti_1456899,
title = {Domain configurations in dislocations embedded hexagonal manganite systems: From the view of graph theory},
author = {Cheng, Shaobo and Zhang, Dong and Deng, Shiqing and Li, Xing and Li, Jun and Tan, Guotai and Zhu, Yimei and Zhu, Jing},
abstractNote = {Topological defects and their interactions often arouse multiple types of emerging phenomena from edge states in Skyrmions to disclination pairs in liquid crystals. In hexagonal manganites, partial edge dislocations, a prototype topological defect, are ubiquitous and they significantly alter the topologically protected domains and their behaviors. In this work, combining electron microscopy experiment and graph theory analysis, we report a systematic study of the connections and configurations of domains in this dislocation embedded system. Rules for domain arrangement are established. The dividing line between domains, which can be attributed by the strain field of dislocations, is accurately described by a genus model from a higher dimension in the graph theory. In conclusion, our results open a door for the understanding of domain patterns in topologically protected multiferroic systems.},
doi = {10.1063/1.5024790},
journal = {Applied Physics Letters},
number = 16,
volume = 112,
place = {United States},
year = {2018},
month = {4}
}

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