Colloquium: Ice rule and emergent frustration in particle ice and beyond

Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial constraints. The second, in its more general sense, represents a pr...

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Autores: Ortiz-Ambriz, Antonio, Nisoli, Cristiano, Reichhardt, Charles, Reichhardt, Cynthia J. O., Tierno, Pietro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/148424
Acceso en línea:https://hdl.handle.net/2445/148424
Access Level:acceso abierto
Palabra clave:Matèria condensada
Col·loides
Condensed matter
Colloids
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spelling Colloquium: Ice rule and emergent frustration in particle ice and beyondOrtiz-Ambriz, AntonioNisoli, CristianoReichhardt, CharlesReichhardt, Cynthia J. O.Tierno, PietroMatèria condensadaCol·loidesCondensed matterColloidsGeometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial constraints. The second, in its more general sense, represents a prescription for the minimization of the topological charges in a constrained system. Both can lead to manifolds of high susceptibility and non-trivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. In this Colloquium, we describe the emergence of geometric frustration and the ice rule in soft condensed matter. This Review excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined micro- or mesoscopic particles that emerge as a novel paradigm exhibiting spin degrees of freedom. In such systems, geometric frustration can be engineered artificially by controlling the spatial topology and geometry of the lattice, the position of the individual particle units, or their relative filling fraction. These capabilities enable the creation of novel and exotic phases of matter, and also potentially lead towards technological applications related to memory and logic devices that are based on the motion of topological defects. We review the rapid progress in theory and experiments and discuss the intimate physical connections with other frustrated systems at different length scales.American Physical Society2020202020192020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion26 p.application/pdfhttps://hdl.handle.net/2445/148424Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1103/RevModPhys.91.041003Reviews of Modern Physics, 2019, vol. 91, p. 041003https://doi.org/10.1103/RevModPhys.91.041003info:eu-repo/grantAgreement/EC/H2020/811234(c) American Physical Society, 2019info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1484242026-05-29T05:05:01Z
dc.title.none.fl_str_mv Colloquium: Ice rule and emergent frustration in particle ice and beyond
title Colloquium: Ice rule and emergent frustration in particle ice and beyond
spellingShingle Colloquium: Ice rule and emergent frustration in particle ice and beyond
Ortiz-Ambriz, Antonio
Matèria condensada
Col·loides
Condensed matter
Colloids
title_short Colloquium: Ice rule and emergent frustration in particle ice and beyond
title_full Colloquium: Ice rule and emergent frustration in particle ice and beyond
title_fullStr Colloquium: Ice rule and emergent frustration in particle ice and beyond
title_full_unstemmed Colloquium: Ice rule and emergent frustration in particle ice and beyond
title_sort Colloquium: Ice rule and emergent frustration in particle ice and beyond
dc.creator.none.fl_str_mv Ortiz-Ambriz, Antonio
Nisoli, Cristiano
Reichhardt, Charles
Reichhardt, Cynthia J. O.
Tierno, Pietro
author Ortiz-Ambriz, Antonio
author_facet Ortiz-Ambriz, Antonio
Nisoli, Cristiano
Reichhardt, Charles
Reichhardt, Cynthia J. O.
Tierno, Pietro
author_role author
author2 Nisoli, Cristiano
Reichhardt, Charles
Reichhardt, Cynthia J. O.
Tierno, Pietro
author2_role author
author
author
author
dc.subject.none.fl_str_mv Matèria condensada
Col·loides
Condensed matter
Colloids
topic Matèria condensada
Col·loides
Condensed matter
Colloids
description Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial constraints. The second, in its more general sense, represents a prescription for the minimization of the topological charges in a constrained system. Both can lead to manifolds of high susceptibility and non-trivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. In this Colloquium, we describe the emergence of geometric frustration and the ice rule in soft condensed matter. This Review excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined micro- or mesoscopic particles that emerge as a novel paradigm exhibiting spin degrees of freedom. In such systems, geometric frustration can be engineered artificially by controlling the spatial topology and geometry of the lattice, the position of the individual particle units, or their relative filling fraction. These capabilities enable the creation of novel and exotic phases of matter, and also potentially lead towards technological applications related to memory and logic devices that are based on the motion of topological defects. We review the rapid progress in theory and experiments and discuss the intimate physical connections with other frustrated systems at different length scales.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/148424
url https://hdl.handle.net/2445/148424
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1103/RevModPhys.91.041003
Reviews of Modern Physics, 2019, vol. 91, p. 041003
https://doi.org/10.1103/RevModPhys.91.041003
info:eu-repo/grantAgreement/EC/H2020/811234
dc.rights.none.fl_str_mv (c) American Physical Society, 2019
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2019
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 26 p.
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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