Colloquium: Ice rule and emergent frustration in particle ice and beyond
Abstract
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 nontrivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. This Colloquium describes the emergence of geometric frustration and the ice rule in soft condensed matter. It excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined microscopic 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 toward technological applications related to memory and logic devices that are based on the motion of topological defects. The rapid progressmore »
- Authors:
-
[2];
[2];
[2];
- Univ. of Barcelona (Spain)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1768541
- Report Number(s):
- LA-UR-19-25339
Journal ID: ISSN 0034-6861; TRN: US2206681
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Reviews of Modern Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 0034-6861
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science; Applications of soft matter; Frustrated magnetism; Geometric & topological phases; Skyrmions; Colloids; Liquid crystals; Spin glasses; Superconductors
Citation Formats
Ortiz, Antonio, Nisoli, Cristiano, Reichhardt, Cynthia Jane, Reichhardt, Charles, and Tierno, Pietro. Colloquium: Ice rule and emergent frustration in particle ice and beyond. United States: N. p., 2019.
Web. doi:10.1103/RevModPhys.91.041003.
Ortiz, Antonio, Nisoli, Cristiano, Reichhardt, Cynthia Jane, Reichhardt, Charles, & Tierno, Pietro. Colloquium: Ice rule and emergent frustration in particle ice and beyond. United States. https://doi.org/10.1103/RevModPhys.91.041003
Ortiz, Antonio, Nisoli, Cristiano, Reichhardt, Cynthia Jane, Reichhardt, Charles, and Tierno, Pietro. Mon .
"Colloquium: Ice rule and emergent frustration in particle ice and beyond". United States. https://doi.org/10.1103/RevModPhys.91.041003. https://www.osti.gov/servlets/purl/1768541.
@article{osti_1768541,
title = {Colloquium: Ice rule and emergent frustration in particle ice and beyond},
author = {Ortiz, Antonio and Nisoli, Cristiano and Reichhardt, Cynthia Jane and Reichhardt, Charles and Tierno, Pietro},
abstractNote = {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 nontrivial, constrained disorder where exotic behaviors can appear and even be designed deliberately. This Colloquium describes the emergence of geometric frustration and the ice rule in soft condensed matter. It excludes the extensive developments of mathematical physics within the field of geometric frustration, but rather focuses on systems of confined microscopic 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 toward technological applications related to memory and logic devices that are based on the motion of topological defects. The rapid progress in theory and experiments is reviewed and the intimate physical connections with other frustrated systems at different length scales are discussed.},
doi = {10.1103/RevModPhys.91.041003},
journal = {Reviews of Modern Physics},
number = 4,
volume = 91,
place = {United States},
year = {Mon Dec 30 00:00:00 EST 2019},
month = {Mon Dec 30 00:00:00 EST 2019}
}
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Works referencing / citing this record:
Advances in artificial spin ice
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- Nature Reviews Physics, Vol. 2, Issue 1