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Title: Emergent magnetic ordering and topological frustration in quasicrystal artificial spin ices

Abstract

Artificial spin ices (ASIs) are nanoscale geometrically engineered arrays of magnetic bars or islands that display magnetic frustration and provide a fertile system for modeling and testing many complex statistical mechanics theories and emergent phenomena. Aperiodic ASIs display spatially varying magnetic frustration as a result of the aperiodicity. We have explored the magnetization reversal of quasicrystalline ASIs (QC-ASIs) patterned on P2 and P3 Penrose tilings, using a statistical graph-theory approach that enables quantitative comparison between the two tilings. Our approach offers insight into the QC-ASIs. We show that the P2 tiling leads to enhanced topological frustration compared to the P3 tiling, and we elucidate the emergence of local antiferromagnetic ordering as well as disordered states in these ferromagnetic aperiodic lattices. Furthermore our method enables quantitative exploration of frustration behavior on any periodic or aperiodic lattice, thereby opening pathways to study collective behavior in various topologically frustrated systems.

Authors:
 [1];  [1];  [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1503639
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Barrows, F., Brajuskovic, V., Petford-Long, A. K., and Phatak, C. Emergent magnetic ordering and topological frustration in quasicrystal artificial spin ices. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.094424.
Barrows, F., Brajuskovic, V., Petford-Long, A. K., & Phatak, C. Emergent magnetic ordering and topological frustration in quasicrystal artificial spin ices. United States. doi:10.1103/PhysRevB.99.094424.
Barrows, F., Brajuskovic, V., Petford-Long, A. K., and Phatak, C. Tue . "Emergent magnetic ordering and topological frustration in quasicrystal artificial spin ices". United States. doi:10.1103/PhysRevB.99.094424.
@article{osti_1503639,
title = {Emergent magnetic ordering and topological frustration in quasicrystal artificial spin ices},
author = {Barrows, F. and Brajuskovic, V. and Petford-Long, A. K. and Phatak, C.},
abstractNote = {Artificial spin ices (ASIs) are nanoscale geometrically engineered arrays of magnetic bars or islands that display magnetic frustration and provide a fertile system for modeling and testing many complex statistical mechanics theories and emergent phenomena. Aperiodic ASIs display spatially varying magnetic frustration as a result of the aperiodicity. We have explored the magnetization reversal of quasicrystalline ASIs (QC-ASIs) patterned on P2 and P3 Penrose tilings, using a statistical graph-theory approach that enables quantitative comparison between the two tilings. Our approach offers insight into the QC-ASIs. We show that the P2 tiling leads to enhanced topological frustration compared to the P3 tiling, and we elucidate the emergence of local antiferromagnetic ordering as well as disordered states in these ferromagnetic aperiodic lattices. Furthermore our method enables quantitative exploration of frustration behavior on any periodic or aperiodic lattice, thereby opening pathways to study collective behavior in various topologically frustrated systems.},
doi = {10.1103/PhysRevB.99.094424},
journal = {Physical Review B},
number = 9,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

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