Broken vertex symmetry and finite zero-point entropy in the artificial square ice ground state

Gliga, Sebastian; Kákay, Attila; Heyderman, Laura J.; Hertel, Riccardo; Heinonen, Olle G.

doi:10.1103/PhysRevB.92.060413

Title: Broken vertex symmetry and finite zero-point entropy in the artificial square ice ground state

Journal Article · Wed Aug 26 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.92.060413· OSTI ID:1356660

Gliga, Sebastian ^[1]; Kákay, Attila ^[2]; Heyderman, Laura J. ^[1]; Hertel, Riccardo ^[3]; Heinonen, Olle G. ^[4]

Federal Inst. of Technology, Zurich (Switzerland). Dept. of Materials. Lab. for Mesoscopic Systems; Paul Scherrer Inst. (PSI), Villigen (Switzerland). Lab. for Micro- and Nanotechnology
Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany). Inst. of Ion Beam Physics and Materials Research
Univ. of Strasbourg (France). Inst. of Physics and Chemistry of Materials
Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Northwestern Univ., Evanston, IL (United States). Dept. of Physics and Astronomy

In this paper, we study degeneracy and entropy in the ground state of artificial square ice. In theoretical models, individual nanomagnets are typically treated as single spins with only two degrees of freedom, leading to a twofold degenerate ground state with intensive entropy and thus no zero-point entropy. Here, we show that the internal degrees of freedom of the nanostructures can result, through edge bending of the magnetization and breaking of local magnetic symmetry at the vertices, in a transition to a highly degenerate ground state with finite zero-point entropy, similar to that of the pyrochlore spin ices. Finally, we find that these additional degrees of freedom have observable consequences in the resonant spectrum of the lattice, and predict the occurrence of edge “melting” above a critical temperature at which the magnetic symmetry is restored.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States); Paul Scherrer Inst. (PSI), Villigen (Switzerland)

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

Contributing Organization:: Federal Inst. of Technology, Zurich (Switzerland); Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany); Univ. of Strasbourg (France); Northwestern Univ., Evanston, IL (United States)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1356660

Alternate ID(s):: OSTI ID: 1213106

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 92, Issue 6; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 35 works

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References (29)

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A tunable magnetic metamaterial based on the dipolar four-state Potts model Louis, D.; Lacour, D.; Hehn, M. Nature Materials, Vol. 17, Issue 12 https://doi.org/10.1038/s41563-018-0199-x	journal	October 2018
Effect of FePd alloy composition on the dynamics of artificial spin ice Morley, Sophie A.; Riley, Susan T.; Porro, Jose-Maria Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-23208-6	journal	March 2018
Advances in artificial spin ice Skjærvø, Sandra H.; Marrows, Christopher H.; Stamps, Robert L. Nature Reviews Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42254-019-0118-3	journal	November 2019
Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction Iacocca, Ezio; Heinonen, Olle Physical Review Applied, Vol. 8, Issue 3 https://doi.org/10.1103/physrevapplied.8.034015	journal	September 2017
Heisenberg pseudo-exchange and emergent anisotropies in field-driven pinwheel artificial spin ice Paterson, Gary W.; Macauley, Gavin M.; Li, Yue Physical Review B, Vol. 100, Issue 17 https://doi.org/10.1103/physrevb.100.174410	journal	November 2019
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Sculpting the Spin-Wave Response of Artificial Spin Ice via Microstate Selection Arroo, Daan M.; Gartside, Jack C.; Branford, Will R. arXiv https://doi.org/10.48550/arxiv.1805.01397	text	January 2018
Heisenberg pseudo-exchange and emergent anisotropies in field-driven pinwheel artificial spin ice Paterson, Gary W.; Macauley, Gavin M.; Li, Yue arXiv https://doi.org/10.48550/arxiv.1908.10626	text	January 2019

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