Frustration by design

Gilbert, Ian; Nisoli, Cristiano; Schiffer, Peter

doi:10.1063/PT.3.3237

Title: Frustration by design

Abstract

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.

Authors:

Gilbert, Ian ^[1]; Nisoli, Cristiano ^[2]; Schiffer, Peter ^[3]

National Institute of Standards and Technology, Gaithersburg, MD (United States). Center for Nanoscale Science and Technology
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Illinois, Urbana-Champaign, IL (United States)

Publication Date:: Fri Jul 01 00:00:00 EDT 2016

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1340923

Report Number(s):: LA-UR-16-22359
Journal ID: ISSN 0031-9228; TRN: US1701811

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physics Today

Additional Journal Information:: Journal Volume: 69; Journal Issue: 7; Journal ID: ISSN 0031-9228

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Material Science

Citation Formats


                    Gilbert, Ian, Nisoli, Cristiano, and Schiffer, Peter. Frustration by design.  United States: N. p., 2016. 
Web.  doi:10.1063/PT.3.3237.

Copy to clipboard


                    Gilbert, Ian, Nisoli, Cristiano, & Schiffer, Peter. Frustration by design.  United States.  https://doi.org/10.1063/PT.3.3237

Copy to clipboard


                    Gilbert, Ian, Nisoli, Cristiano, and Schiffer, Peter. Fri .  
"Frustration by design".  United States.  https://doi.org/10.1063/PT.3.3237.  https://www.osti.gov/servlets/purl/1340923.

Copy to clipboard


                    
@article{osti_1340923,

  title        = {Frustration by design},

  author       = {Gilbert, Ian and Nisoli, Cristiano and Schiffer, Peter},

  abstractNote = {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.},

  doi          = {10.1063/PT.3.3237},

  journal      = {Physics Today},

  number       = 7,

  volume       = 69,

  place        = {United States},

  year         = {Fri Jul 01 00:00:00 EDT 2016},

  month        = {Fri Jul 01 00:00:00 EDT 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1063/PT.3.3237

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 44 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Direct observation of the ice rule in an artificial kagome spin ice
journal, March 2008

Qi, Yi; Brintlinger, T.; Cumings, John
Physical Review B, Vol. 77, Issue 9
DOI: 10.1103/PhysRevB.77.094418

Freezing and thawing of artificial ice by thermal switching of geometric frustration in magnetic flux lattices
journal, August 2014

Trastoy, J.; Malnou, M.; Ulysse, C.
Nature Nanotechnology, Vol. 9, Issue 9, p. 710-715
DOI: 10.1038/nnano.2014.158

Exploring thermally induced states in square artificial spin-ice arrays
journal, May 2013

Porro, J. M.; Bedoya-Pinto, A.; Berger, A.
New Journal of Physics, Vol. 15, Issue 5
DOI: 10.1088/1367-2630/15/5/055012

Spin Ice, Fractionalization, and Topological Order
journal, March 2012

Castelnovo, C.; Moessner, R.; Sondhi, S. L.
Annual Review of Condensed Matter Physics, Vol. 3, Issue 1
DOI: 10.1146/annurev-conmatphys-020911-125058

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, March 2007

Wang, R. F.; Nisoli, C.; Freitas, R. S.
Nature, Vol. 446, Issue 7131
DOI: 10.1038/nature05607

Crystallites of magnetic charges in artificial spin ice
journal, August 2013

Zhang, Sheng; Gilbert, Ian; Nisoli, Cristiano
Nature, Vol. 500, Issue 7464
DOI: 10.1038/nature12399

Direct observation of magnetic monopole defects in an artificial spin-ice system
journal, April 2010

Ladak, S.; Read, D. E.; Perkins, G. K.
Nature Physics, Vol. 6, Issue 5
DOI: 10.1038/nphys1628

Thermal ground-state ordering and elementary excitations in artificial magnetic square ice
journal, November 2010

Morgan, Jason P.; Stein, Aaron; Langridge, Sean
Nature Physics, Vol. 7, Issue 1
DOI: 10.1038/nphys1853

Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice
journal, October 2010

Mengotti, Elena; Heyderman, Laura J.; Rodríguez, Arantxa Fraile
Nature Physics, Vol. 7, Issue 1
DOI: 10.1038/nphys1794

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice
journal, August 2014

Gilbert, Ian; Chern, Gia-Wei; Zhang, Sheng
Nature Physics, Vol. 10, Issue 9
DOI: 10.1038/nphys3037

Emerging Chirality in Artificial Spin Ice
journal, March 2012

Branford, W. R.; Ladak, S.; Read, D. E.
Science, Vol. 335, Issue 6076
DOI: 10.1126/science.1211379

Geometric frustration in buckled colloidal monolayers
journal, December 2008

Han, Yilong; Shokef, Yair; Alsayed, Ahmed M.
Nature, Vol. 456, Issue 7224
DOI: 10.1038/nature07595

Frustrated Spin Systems
book, November 2012

Diep, H. T.
World Scientific
DOI: 10.1142/8676

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, January 2006

Wang, R. F.; Nisoli, C.; Freitas, R. S.
Nature, Vol. 439, Issue 7074
DOI: 10.1038/nature04447

Thermal fluctuations in artificial spin ice
journal, June 2014

Kapaklis, Vassilios; Arnalds, Unnar B.; Farhan, Alan
Nature Nanotechnology, Vol. 9, Issue 7, p. 514-519
DOI: 10.1038/nnano.2014.104

Creating Artificial Ice States Using Vortices in Nanostructured Superconductors
journal, June 2009

Libál, A.; Reichhardt, C. J. Olson; Reichhardt, C.
Physical Review Letters, Vol. 102, Issue 23
DOI: 10.1103/PhysRevLett.102.237004

Magnetic relaxation in rare-earth oxide pyrochlores
journal, September 2005

Ryzhkin, I. A.
Journal of Experimental and Theoretical Physics, Vol. 101, Issue 3
DOI: 10.1134/1.2103216

Thermalized ground state of artificial kagome spin ice building blocks
journal, September 2012

Arnalds, Unnar B.; Farhan, Alan; Chopdekar, Rajesh V.
Applied Physics Letters, Vol. 101, Issue 11
DOI: 10.1063/1.4751844

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration
journal, October 2013

Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter
Reviews of Modern Physics, Vol. 85, Issue 4
DOI: 10.1103/RevModPhys.85.1473

Artificial ferroic systems: novel functionality from structure, interactions and dynamics
journal, August 2013

Heyderman, L. J.; Stamps, R. L.
Journal of Physics: Condensed Matter, Vol. 25, Issue 36
DOI: 10.1088/0953-8984/25/36/363201

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals
journal, April 2016

Farmer, B.; Bhat, V. S.; Balk, A.
Physical Review B, Vol. 93, Issue 13
DOI: 10.1103/PhysRevB.93.134428

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration
journal, April 2013

Morrison, Muir J.; Nelson, Tammie R.; Nisoli, Cristiano
New Journal of Physics, Vol. 15, Issue 4
DOI: 10.1088/1367-2630/15/4/045009

Magnetic monopoles in spin ice
journal, January 2008

Castelnovo, C.; Moessner, R.; Sondhi, S. L.
Nature, Vol. 451, Issue 7174
DOI: 10.1038/nature06433

Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays
journal, October 2009

Möller, G.; Moessner, R.
Physical Review B, Vol. 80, Issue 14
DOI: 10.1103/physrevb.80.140409

Frustrated Spin Systems
book, January 2005

Diep, H. T.
World Scientific
DOI: 10.1142/5697

Direct Observation of Thermal Relaxation in Artificial Spin Ice
journal, August 2013

Farhan, A.; Derlet, P. M.; Kleibert, A.
Physical Review Letters, Vol. 111, Issue 5
DOI: 10.1103/PhysRevLett.111.057204

Packing hyperspheres in high-dimensional Euclidean spaces
journal, October 2006

Skoge, Monica; Donev, Aleksandar; Stillinger, Frank H.
Physical Review E, Vol. 74, Issue 4
DOI: 10.1103/PhysRevE.74.041127

Realizing Colloidal Artificial Ice on Arrays of Optical Traps
journal, November 2006

Libál, A.; Reichhardt, C.; Reichhardt, C. J. Olson
Physical Review Letters, Vol. 97, Issue 22
DOI: 10.1103/PhysRevLett.97.228302

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures
journal, August 2013

Latimer, M. L.; Berdiyorov, G. R.; Xiao, Z. L.
Physical Review Letters, Vol. 111, Issue 6
DOI: 10.1103/PhysRevLett.111.067001

Magnetic Monopoles in Spin Ice
journal, January 2008

Castelnovo, C.; Moessner, R.; Sondhi, S. L.
Topologica, Vol. 1, Issue 1
DOI: 10.3731/topologica.1.012

Frustrated Spin Systems
book, July 2020

Diep, H. T.
World Scientific
DOI: 10.1142/11660

Magnetic multipole analysis of kagome and artificial ice dipolar arrays
text, January 2009

Moller, Gunnar; Moessner, R.
arXiv
DOI: 10.48550/arxiv.0906.3937

Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
text, January 2009

Chern, Gia-Wei; Mellado, Paula; Tchernyshyov, O.
arXiv
DOI: 10.48550/arxiv.0906.4781

Spin Ice, Fractionalization and Topological Order
text, January 2011

Castelnovo, C.; Moessner, R.; Sondhi, S. L.
arXiv
DOI: 10.48550/arxiv.1112.3793

Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
text, January 2013

Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter
arXiv
DOI: 10.48550/arxiv.1306.0825

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin-film with Patterned Nanostructures
text, January 2013

Latimer, M. L.; Berdiyorov, G. R.; Xiao, Z. L.
arXiv
DOI: 10.48550/arxiv.1307.6299

Realizing Colloidal Artificial Ice on Arrays of Optical Traps
text, January 2006

Libal, A.; Reichhardt, C.; Reichhardt, C. J. Olson
arXiv
DOI: 10.48550/arxiv.cond-mat/0603265

Works referencing / citing this record:

Ice rule fragility via topological charge transfer in artificial colloidal ice
journal, October 2018

Libál, András; Lee, Dong Yun; Ortiz-Ambriz, Antonio
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-06631-1

Switchable geometric frustration in an artificial-spin-ice–superconductor heterosystem
journal, June 2018

Wang, Yong-Lei; Ma, Xiaoyu; Xu, Jing
Nature Nanotechnology, Vol. 13, Issue 7
DOI: 10.1038/s41565-018-0162-7

Classical topological order in the kinetics of artificial spin ice
journal, April 2018

Lao, Yuyang; Caravelli, Francesco; Sheikh, Mohammed
Nature Physics, Vol. 14, Issue 7
DOI: 10.1038/s41567-018-0077-0

Characterization of switching field distributions in Ising-like magnetic arrays
journal, April 2017

Fraleigh, Robert D.; Kempinger, Susan; Lammert, Paul E.
Physical Review B, Vol. 95, Issue 14
DOI: 10.1103/physrevb.95.144416

Colloquium : Ice rule and emergent frustration in particle ice and beyond
journal, December 2019

Ortiz-Ambriz, Antonio; Nisoli, Cristiano; Reichhardt, Charles
Reviews of Modern Physics, Vol. 91, Issue 4
DOI: 10.1103/revmodphys.91.041003

Understanding thermal annealing of artificial spin ice
journal, November 2019

Zhang, Xiaoyu; Lao, Yuyang; Sklenar, Joseph
APL Materials, Vol. 7, Issue 11
DOI: 10.1063/1.5126713

Ferromagnetic resonance spectra of permalloy nano-ellipses as building blocks for complex magnonic lattices
journal, November 2019

Bang, Wonbae; Montoncello, F.; Kaffash, M. T.
Journal of Applied Physics, Vol. 126, Issue 20
DOI: 10.1063/1.5126679

Deliberate exotic magnetism via frustration and topology
journal, March 2017

Nisoli, Cristiano; Kapaklis, Vassilios; Schiffer, Peter
Nature Physics, Vol. 13, Issue 3
DOI: 10.1038/nphys4059

Collective dynamics of time-delay-coupled phase oscillators in a frustrated geometry
journal, January 2017

Thakur, Bhumika; Sharma, Devendra; Sen, Abhijit
Physical Review E, Vol. 95, Issue 1
DOI: 10.1103/physreve.95.012204

Tuning magnetic ordering in a dipolar square-kite tessellation
journal, February 2018

Petersen, Charlotte F.; Farhan, Alan; Dhuey, Scott
Applied Physics Letters, Vol. 112, Issue 9
DOI: 10.1063/1.5014041

Spin wave propagation properties across configurational antiferro/ferro-magnetic transitions
journal, December 2018

Kuźma, D.; Montoncello, F.; Sobieszczyk, P.
Journal of Applied Physics, Vol. 124, Issue 22
DOI: 10.1063/1.5057419

Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice
text, January 2018

Libál, András; Lee, Dong Yun; Ortiz-Ambriz, Antonio
Unpublished
DOI: 10.13140/rg.2.2.30116.32640

Field-induced phase coexistence in an artificial spin ice
journal, December 2018

Sklenar, Joseph; Lao, Yuyang; Albrecht, Alan
Nature Physics, Vol. 15, Issue 2
DOI: 10.1038/s41567-018-0348-9

Characterization of switching field distributions in Ising-like magnetic arrays
text, January 2016

Fraleigh, Robert D.; Kempinger, Susan; Lammert, Paul
arXiv
DOI: 10.48550/arxiv.1606.02770

High frequency dynamics modulated by collective magnetization reversal in artificial spin ice
text, January 2017

Jungfleisch, Matthias B.; Sklenar, Joseph; Ding, Junjia
arXiv
DOI: 10.48550/arxiv.1710.10534

Understanding Thermal Annealing of Artificial Spin Ice
text, January 2019

Zhang, Xiaoyu; Lao, Yuyang; Sklenar, Joseph
arXiv
DOI: 10.48550/arxiv.1910.14158

Similar Records in DOE PAGES and OSTI.GOV collections:

Local-Ising-type magnetic order and metamagnetism in the rare-earth pyrogermanate ${Er}_{2} {Ge}_{2} O_{7}$

Journal Article Taddei, Keith M. ; Sanjeewa, Liurukara D. ; Kolis, Joseph W. ; ... - Physical Review Materials

The recent discoveries of proximate quantum spin-liquid compounds and their potential application in quantum computing informs the search for new candidate materials for quantum spin-ice and spin-liquid physics. While the majority of such work has centered on members of the pyrochlore family due to their inherently frustrated linked tetrahedral structure, the rare-earth pyrogermanates also show promise for possible frustrated magnetic behavior. With the familiar stoichiometry R₂Ge₂O₇, these compounds generally have tetragonal symmetry with a rare-earth sublattice built of a spiral of alternating edge and corner-sharing rare-earth site triangles. Studies on Dy₂Ge₂O₇ and Ho₂Ge₂O₇ have shown tunable low temperature antiferromagnetic order,more »« less
Cited by 15
https://doi.org/10.1103/physrevmaterials.3.014405

Full Text Available
Quantum liquid from strange frustration in the trimer magnet Ba4Ir3O10

Journal Article Cao, Gang ; Zheng, Hao ; Zhao, Hengdi ; ... - npj Quantum Materials

Abstract Quantum spin systems such as magnetic insulators usually show magnetic order, but such classical states can give way to quantum liquids with exotic entanglement through two known mechanisms of frustration: geometric frustration in lattices with triangle motifs, and spin-orbit-coupling frustration in the exactly solvable quantum liquid of Kitaev’s honeycomb lattice. Here we present the experimental observation of a new kind of frustrated quantum liquid arising in an unlikely place: the magnetic insulator Ba ₄ Ir ₃ O ₁₀ where Ir ₃ O ₁₂ trimers form an unfrustrated square lattice. The crystal structure shows no apparent spin chains. Experimentally wemore »« less
https://doi.org/10.1038/s41535-020-0232-6
Quantum Versus Classical Spin Fragmentation in Dipolar Kagome Ice ${Ho}_{3} {Mg}_{2} {Sb}_{3} O_{14}$

Journal Article Dun, Zhiling ; Bai, Xiaojian ; Paddison, Joseph A. M. ; ... - Physical Review. X

A promising route to realize entangled magnetic states combines geometrical frustration with quantum-tunneling effects. Spin-ice materials are canonical examples of frustration, and Ising spins in a transverse magnetic field are the simplest many-body model of quantum tunneling. Here, we show that the tripod-kagome lattice material Ho3Mg2Sb3O14 unites an icelike magnetic degeneracy with quantum-tunneling terms generated by an intrinsic splitting of the Ho3+ ground-state doublet, which is further coupled to a nuclear spin bath. Using neutron scattering and thermodynamic experiments, we observe a symmetry-breaking transition at T∗≈0.32 K to a remarkable state with three peculiarities: a concurrent recovery of magnetic entropy associatedmore »« less
https://doi.org/10.1103/PhysRevX.10.031069
Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry

Journal Article Nedić, Ana-Marija ; Quito, Victor L. ; Sizyuk, Yuriy ; ... - Physical Review. B

Here, we propose stacked two-dimensional lattice designs of frustrated and SO(3) symmetric spin models consisting of antiferromagnetic (AF) triangular and ferromagnetic (FM) sixfold symmetric sublattices that realize emergentmore »« less
https://doi.org/10.1103/physrevb.107.184401
Spin liquid state in the 3D frustrated antiferromagnet ${PbCuTe}_{2} O_{6}$ : NMR and muon spin relaxation studies

Journal Article Khuntia, P. ; Bert, F. ; Mendels, P. ; ... - Physical Review Letters

In this study, PbCuTe₂O₆ is a rare example of a spin liquid candidate featuring a three-dimensional magnetic lattice. Strong geometric frustration arises from the dominant antiferromagnetic interaction that generates a hyperkagome network of Cu²⁺ ions although additional interactions enhance the magnetic lattice connectivity. Through a combination of magnetization measurements and local probe investigations by NMR and muon spin relaxation down to 20 mK, we provide robust evidence for the absence of magnetic freezing in the ground state. The local spin susceptibility probed by the NMR shift hardly deviates from the macroscopic one down to 1 K pointing to a homogeneousmore »« less
Cited by 48
https://doi.org/10.1103/PhysRevLett.116.107203

Full Text Available

Similar Records

Title: Frustration by design

Abstract

Citation Formats

Direct observation of the ice rule in an artificial kagome spin ice journal, March 2008

Freezing and thawing of artificial ice by thermal switching of geometric frustration in magnetic flux lattices journal, August 2014

Exploring thermally induced states in square artificial spin-ice arrays journal, May 2013

Spin Ice, Fractionalization, and Topological Order journal, March 2012

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands journal, March 2007

Crystallites of magnetic charges in artificial spin ice journal, August 2013

Direct observation of magnetic monopole defects in an artificial spin-ice system journal, April 2010

Thermal ground-state ordering and elementary excitations in artificial magnetic square ice journal, November 2010

Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice journal, October 2010

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice journal, August 2014

Emerging Chirality in Artificial Spin Ice journal, March 2012

Geometric frustration in buckled colloidal monolayers journal, December 2008

Frustrated Spin Systems book, November 2012

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands journal, January 2006

Thermal fluctuations in artificial spin ice journal, June 2014

Creating Artificial Ice States Using Vortices in Nanostructured Superconductors journal, June 2009

Magnetic relaxation in rare-earth oxide pyrochlores journal, September 2005

Thermalized ground state of artificial kagome spin ice building blocks journal, September 2012

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration journal, October 2013

Artificial ferroic systems: novel functionality from structure, interactions and dynamics journal, August 2013

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals journal, April 2016

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal, April 2013

Magnetic monopoles in spin ice journal, January 2008

Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays journal, October 2009

Frustrated Spin Systems book, January 2005

Direct Observation of Thermal Relaxation in Artificial Spin Ice journal, August 2013

Packing hyperspheres in high-dimensional Euclidean spaces journal, October 2006

Realizing Colloidal Artificial Ice on Arrays of Optical Traps journal, November 2006

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures journal, August 2013

Magnetic Monopoles in Spin Ice journal, January 2008

Frustrated Spin Systems book, July 2020

Magnetic multipole analysis of kagome and artificial ice dipolar arrays text, January 2009

Two-stage ordering of spins in a dipolar spin ice on the kagome lattice text, January 2009

Spin Ice, Fractionalization and Topological Order text, January 2011

Colloquium: Artificial spin ice: Designing and imaging magnetic frustration text, January 2013

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin-film with Patterned Nanostructures text, January 2013

Realizing Colloidal Artificial Ice on Arrays of Optical Traps text, January 2006

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

Characterization of switching field distributions in Ising-like magnetic arrays journal, April 2017

Colloquium : Ice rule and emergent frustration in particle ice and beyond journal, December 2019

Understanding thermal annealing of artificial spin ice journal, November 2019

Ferromagnetic resonance spectra of permalloy nano-ellipses as building blocks for complex magnonic lattices journal, November 2019

Deliberate exotic magnetism via frustration and topology journal, March 2017

Collective dynamics of time-delay-coupled phase oscillators in a frustrated geometry journal, January 2017

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

Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice text, January 2018

Field-induced phase coexistence in an artificial spin ice journal, December 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

Direct observation of the ice rule in an artificial kagome spin ice
journal, March 2008

Freezing and thawing of artificial ice by thermal switching of geometric frustration in magnetic flux lattices
journal, August 2014

Exploring thermally induced states in square artificial spin-ice arrays
journal, May 2013

Spin Ice, Fractionalization, and Topological Order
journal, March 2012

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, March 2007

Crystallites of magnetic charges in artificial spin ice
journal, August 2013

Direct observation of magnetic monopole defects in an artificial spin-ice system
journal, April 2010

Thermal ground-state ordering and elementary excitations in artificial magnetic square ice
journal, November 2010

Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice
journal, October 2010

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice
journal, August 2014

Emerging Chirality in Artificial Spin Ice
journal, March 2012

Geometric frustration in buckled colloidal monolayers
journal, December 2008

Frustrated Spin Systems
book, November 2012

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, January 2006

Thermal fluctuations in artificial spin ice
journal, June 2014

Creating Artificial Ice States Using Vortices in Nanostructured Superconductors
journal, June 2009

Magnetic relaxation in rare-earth oxide pyrochlores
journal, September 2005

Thermalized ground state of artificial kagome spin ice building blocks
journal, September 2012

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration
journal, October 2013

Artificial ferroic systems: novel functionality from structure, interactions and dynamics
journal, August 2013

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals
journal, April 2016

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration
journal, April 2013

Magnetic monopoles in spin ice
journal, January 2008

Magnetic multipole analysis of kagome and artificial spin-ice dipolar arrays
journal, October 2009

Frustrated Spin Systems
book, January 2005

Direct Observation of Thermal Relaxation in Artificial Spin Ice
journal, August 2013

Packing hyperspheres in high-dimensional Euclidean spaces
journal, October 2006

Realizing Colloidal Artificial Ice on Arrays of Optical Traps
journal, November 2006

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin Film with Patterned Nanostructures
journal, August 2013

Magnetic Monopoles in Spin Ice
journal, January 2008

Frustrated Spin Systems
book, July 2020

Magnetic multipole analysis of kagome and artificial ice dipolar arrays
text, January 2009

Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
text, January 2009

Spin Ice, Fractionalization and Topological Order
text, January 2011

Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
text, January 2013

Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin-film with Patterned Nanostructures
text, January 2013

Realizing Colloidal Artificial Ice on Arrays of Optical Traps
text, January 2006

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

Characterization of switching field distributions in Ising-like magnetic arrays
journal, April 2017

Colloquium : Ice rule and emergent frustration in particle ice and beyond
journal, December 2019

Understanding thermal annealing of artificial spin ice
journal, November 2019

Ferromagnetic resonance spectra of permalloy nano-ellipses as building blocks for complex magnonic lattices
journal, November 2019

Deliberate exotic magnetism via frustration and topology
journal, March 2017

Collective dynamics of time-delay-coupled phase oscillators in a frustrated geometry
journal, January 2017

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

Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice
text, January 2018

Field-induced phase coexistence in an artificial spin ice
journal, December 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