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Title: Emergent reduced dimensionality by vertex frustration in artificial spin ice

Abstract

Reducing the dimensionality of a physical system can have a profound effect on its properties, as in the ordering of low-dimensional magnetic materials, phonon dispersion in mercury chain salts, sliding phases, and the electronic states of graphene. Here we explore the emergence of quasi-one-dimensional behaviour in two-dimensional artificial spin ice, a class of lithographically fabricated nanomagnet arrays used to study geometrical frustration. We extend the implementation of artificial spin ice by fabricating a new array geometry, the so-called tetris lattice. We demonstrate that the ground state of the tetris lattice consists of alternating ordered and disordered bands of nanomagnetic moments. The disordered bands can be mapped onto an emergent thermal one-dimensional Ising model. Furthermore, we show that the level of degeneracy associated with these bands dictates the susceptibility of island moments to thermally induced reversals, thus establishing that vertex frustration can reduce the relevant dimensionality of physical behaviour in a magnetic system.

Authors:
 [1];  [1];  [1];  [2];  [3];  [4];  [4];  [5]; ORCiD logo [6];  [1]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics and Frederick Seitz Materials Research Lab.
  2. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemical Engineering and Materials Science; Univ. of Cambridge (United Kingdom). Dept. of Physics
  3. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemical Engineering and Materials Science and School of Physics and Astronomy
  4. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemical Engineering and Materials Science
  5. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  6. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Studies
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
OSTI Identifier:
1377411
Alternate Identifier(s):
OSTI ID: 1418755
Report Number(s):
LA-UR-15-25679
Journal ID: ISSN 1745-2473; ark:/13030/qt8g58b8hs; TRN: US1702571
Grant/Contract Number:  
AC02-05CH11231; SC00170778; AC52-06NA253962; DMR-1420013; AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Nature Physics
Additional Journal Information:
Journal Volume: 12; Journal Issue: 2; Journal ID: ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; magnetic properties and materials; statistical physics

Citation Formats

Gilbert, Ian, Lao, Yuyang, Carrasquillo, Isaac, O’Brien, Liam, Watts, Justin D., Manno, Michael, Leighton, Chris, Scholl, Andreas, Nisoli, Cristiano, and Schiffer, Peter. Emergent reduced dimensionality by vertex frustration in artificial spin ice. United States: N. p., 2015. Web. doi:10.1038/nphys3520.
Gilbert, Ian, Lao, Yuyang, Carrasquillo, Isaac, O’Brien, Liam, Watts, Justin D., Manno, Michael, Leighton, Chris, Scholl, Andreas, Nisoli, Cristiano, & Schiffer, Peter. Emergent reduced dimensionality by vertex frustration in artificial spin ice. United States. doi:10.1038/nphys3520.
Gilbert, Ian, Lao, Yuyang, Carrasquillo, Isaac, O’Brien, Liam, Watts, Justin D., Manno, Michael, Leighton, Chris, Scholl, Andreas, Nisoli, Cristiano, and Schiffer, Peter. Mon . "Emergent reduced dimensionality by vertex frustration in artificial spin ice". United States. doi:10.1038/nphys3520. https://www.osti.gov/servlets/purl/1377411.
@article{osti_1377411,
title = {Emergent reduced dimensionality by vertex frustration in artificial spin ice},
author = {Gilbert, Ian and Lao, Yuyang and Carrasquillo, Isaac and O’Brien, Liam and Watts, Justin D. and Manno, Michael and Leighton, Chris and Scholl, Andreas and Nisoli, Cristiano and Schiffer, Peter},
abstractNote = {Reducing the dimensionality of a physical system can have a profound effect on its properties, as in the ordering of low-dimensional magnetic materials, phonon dispersion in mercury chain salts, sliding phases, and the electronic states of graphene. Here we explore the emergence of quasi-one-dimensional behaviour in two-dimensional artificial spin ice, a class of lithographically fabricated nanomagnet arrays used to study geometrical frustration. We extend the implementation of artificial spin ice by fabricating a new array geometry, the so-called tetris lattice. We demonstrate that the ground state of the tetris lattice consists of alternating ordered and disordered bands of nanomagnetic moments. The disordered bands can be mapped onto an emergent thermal one-dimensional Ising model. Furthermore, we show that the level of degeneracy associated with these bands dictates the susceptibility of island moments to thermally induced reversals, thus establishing that vertex frustration can reduce the relevant dimensionality of physical behaviour in a magnetic system.},
doi = {10.1038/nphys3520},
journal = {Nature Physics},
number = 2,
volume = 12,
place = {United States},
year = {Mon Oct 26 00:00:00 EDT 2015},
month = {Mon Oct 26 00:00:00 EDT 2015}
}

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Cited by: 33 works
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Works referenced in this record:

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

The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109