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Title: Frustration by design

Journal Article · · Physics Today
DOI: https://doi.org/10.1063/PT.3.3237 · OSTI ID:1340923
 [1];  [2];  [3]
  1. National Institute of Standards and Technology, Gaithersburg, MD (United States). Center for Nanoscale Science and Technology
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. of Illinois, Urbana-Champaign, IL (United States)

Geometrical frustration is a condition that occurs when a material’s lattice geometry precludes minimizing the energy of all the interactions among pairs of neighbors simultaneously. Moreover, the simplest example is three antiferromagnetically coupled Ising spins, pointing up or down, on the corners of an equilateral triangle: It is also impossible to arrange the spins so that each pair is antiparallel. In more complex magnetic lattices, the frustrated state can arise from the combination of lattice geometry and the strength and sign of the interactions among the magnetic dipole moments.1 (See the article by Roderich Moessner and Art Ramirez, Physics Today, February 2006, page 24.) A wide variety of exotic and collective phenomena sometimes arises from the competing interactions. One prime example is spin liquids, materials in which the local atomic moments fluctuate down to the lowest accessible temperatures and never settle into a static ground-state configuration.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1340923
Report Number(s):
LA-UR--16-22359
Journal Information:
Physics Today, Journal Name: Physics Today Journal Issue: 7 Vol. 69; ISSN 0031-9228
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal April 2013
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Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays journal October 2009
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Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays journal October 2009
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Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures journal August 2013
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Realizing Colloidal Artificial Ice on Arrays of Optical Traps text January 2006

Cited By (21)

Deliberate exotic magnetism via frustration and topology journal March 2017
Ice rule fragility via topological charge transfer in artificial colloidal ice journal October 2018
Switchable geometric frustration in an artificial-spin-ice–superconductor heterosystem journal June 2018
Classical topological order in the kinetics of artificial spin ice journal April 2018
Field-induced phase coexistence in an artificial spin ice journal December 2018
Tuning magnetic ordering in a dipolar square-kite tessellation journal February 2018
Spin wave propagation properties across configurational antiferro/ferro-magnetic transitions journal December 2018
Ferromagnetic resonance spectra of permalloy nano-ellipses as building blocks for complex magnonic lattices journal November 2019
Understanding thermal annealing of artificial spin ice journal November 2019
Magnetization dynamics in artificial spin ice journal October 2019
High-Frequency Dynamics Modulated by Collective Magnetization Reversal in Artificial Spin Ice journal December 2017
Characterization of switching field distributions in Ising-like magnetic arrays journal April 2017
Magnetic response of brickwork artificial spin ice journal July 2017
Mutual influence between macrospin reversal order and spin-wave dynamics in isolated artificial spin-ice vertices journal January 2018
Collective dynamics of time-delay-coupled phase oscillators in a frustrated geometry journal January 2017
Imaging the stochastic microstructure and dynamic development of correlations in perpendicular artificial spin ice journal January 2020
Colloquium : Ice rule and emergent frustration in particle ice and beyond journal December 2019
Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice text January 2018
Characterization of switching field distributions in Ising-like magnetic arrays text January 2016
High frequency dynamics modulated by collective magnetization reversal in artificial spin ice text January 2017
Understanding Thermal Annealing of Artificial Spin Ice text January 2019

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