Emergent reduced dimensionality by vertex frustration in artificial spin ice

Ian Gilbert, Yuyang Lao, Isaac Carrasquillo, Liam O'brien, Justin D. Watts, Michael Manno, Chris Leighton, Andreas Scholl, Cristiano Nisoli, Peter Schiffer

Research output: Contribution to journalArticlepeer-review

80 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)162-165
Number of pages4
JournalNature Physics
Volume12
Issue number2
DOIs
StatePublished - Feb 2 2016

Bibliographical note

Funding Information:
This work was funded by the US Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division under grant no. DE-SC0010778. The work of C.N. was carried out under the auspices of the US Department of Energy at LANL under contract no. DE-AC52-06NA253962.Work performed at the University of Minnesota (UMN) was supported by the National Science Foundation through the UMN MRSEC under award number DMR-1420013, as well as by EU Marie Curie IOF project no. 299376. The Advanced Light Source is supported by the Director, Office of Science, Office of Basic Energy Sciences, of the US Department of Energy under contract no. DE-AC02-05CH11231.

Funding Information:
This work was funded by the US Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division under grant no. DE-SC0010778. The work of C.N. was carried out under the auspices of the US Department of Energy at LANL under contract no. DE-AC52-06NA253962. Work performed at the University of Minnesota (UMN) was supported by the National Science Foundation through the UMN MRSEC under award number DMR-1420013, as well as by EU Marie Curie IOF project no. 299376. The Advanced Light Source is supported by the Director, Office of Science, Office of Basic Energy Sciences, of the US Department of Energy under contract no. DE-AC02-05CH11231.

Publisher Copyright:
© 2016 Macmillan Publishers Limited.

How much support was provided by MRSEC?

  • Partial

Reporting period for MRSEC

  • Period 2

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