On the relationship between topological and geometric defects

Griffin, Sinéad M.; Spaldin, Nicola A.

doi:10.1088/1361-648X/aa7b5c

On the relationship between topological and geometric defects

Journal Article · Tue Jul 25 00:00:00 EDT 2017 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/1361-648X/aa7b5c· OSTI ID:1393246

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Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
ETH Zurich (Switzerland)

The study of topology in solids is undergoing a renaissance following an increase in interest in the properties of ferroic domain walls as well as recent discoveries regarding skyrmionic lattices. Each of these systems possess a property that is 'protected' in a symmetry sense, and is defined rigorously using a branch of mathematics known as topology. In this article we review the formal definition of topological defects as they are classified in terms of homotopy theory, and discuss the precise symmetry-breaking conditions that lead to their formation. We distinguish topological defects from defects that arise from the details of the stacking or structure of the material but are not protected by symmetry, and we propose the term 'geometric defects' to describe the latter. We provide simple material examples of both topological and geometric defect types, and discuss the implications of the classification on the resulting material properties.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1393246

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 34 Vol. 29; ISSN 0953-8984

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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