skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Nature Physics
DOI:https://doi.org/10.1038/nphys3520· OSTI ID:1377411
 [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

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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231; SC00170778; AC52-06NA253962; DMR-1420013; AC52-06NA25396
OSTI ID:
1377411
Alternate ID(s):
OSTI ID: 1418755
Report Number(s):
LA-UR-15-25679; ark:/13030/qt8g58b8hs; TRN: US1702571
Journal Information:
Nature Physics, Vol. 12, Issue 2; ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 100 works
Citation information provided by
Web of Science

References (36)

The unhappy wanderer journal August 2014
Nanoscale structure of the magnetic induction at monopole defects in artificial spin-ice lattices journal May 2011
Exploring thermally induced states in square artificial spin-ice arrays journal May 2013
Ignoring Your Neighbors: Moment Correlations Dominated by Indirect or Distant Interactions in an Ordered Nanomagnet Array journal September 2011
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
Direct entropy determination and application to artificial spin ice journal July 2010
Thermal ground-state ordering and elementary excitations in artificial magnetic square ice journal November 2010
Studies of nanomagnetism using synchrotron-based x-ray photoemission electron microscopy (X-PEEM) journal January 2012
Magnetic recording at 1.5 Pb m−2 using an integrated plasmonic antenna journal May 2010
Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice journal October 2010
Characterization of domain wall–based traps for magnetic beads separation journal April 2012
Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice journal August 2014
Emergent excitations in a geometrically frustrated magnet journal August 2002
Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands journal January 2006
Thermal fluctuations in artificial spin ice journal June 2014
Near-edge X-ray absorption fine-structure microscopy of organic and magnetic materials journal April 2009
Propagation of magnetic charge monopoles and Dirac flux strings in an artificial spin-ice lattice journal May 2012
One-Dimensional Phonons and "Phase-Ordering" Phase Transition in Hg 3 δ As F 6 journal December 1977
Colloquium : Artificial spin ice: Designing and imaging magnetic frustration journal October 2013
The electronic properties of graphene journal January 2009
Exploring hyper-cubic energy landscapes in thermally active finite artificial spin-ice systems journal May 2013
Experiments on simple magnetic model systems journal January 1974
Artificial ferroic systems: novel functionality from structure, interactions and dynamics journal August 2013
Direct Observation of Thermal Relaxation in Artificial Spin Ice journal August 2013
FePd 3 as a material for studying thermally active artificial spin ice systems journal June 2015
Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal April 2013
Sliding Phases in XY Models, Crystals, and Cationic Lipid-DNA Complexes journal October 1999
Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands journal March 2007
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies journal April 2018
Experiments on simple magnetic model systems journal December 2001
The electronic properties of graphene text January 2007
Magnetic multipole analysis of kagome and artificial ice dipolar arrays text January 2009
Direct entropy determination and application to artificial spin ice text January 2012
Colloquium: Artificial spin ice: Designing and imaging magnetic frustration text January 2013
Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes text January 1999

Cited By (31)

Photoemission Electron Microscopy book January 2019
Deliberate exotic magnetism via frustration and topology journal March 2017
Ice rule fragility via topological charge transfer in artificial colloidal ice journal October 2018
A tunable magnetic metamaterial based on the dipolar four-state Potts model journal October 2018
Frustration and thermalization in an artificial magnetic quasicrystal journal December 2017
Classical topological order in the kinetics of artificial spin ice journal April 2018
Effect of FePd alloy composition on the dynamics of artificial spin ice journal March 2018
Direct-write of free-form building blocks for artificial magnetic 3D lattices journal April 2018
Thermally and field-driven mobility of emergent magnetic charges in square artificial spin ice journal November 2019
Magnetization dynamics of weakly interacting sub-100 nm square artificial spin ices journal December 2019
Advances in artificial spin ice journal November 2019
Thermally induced magnetic relaxation in square artificial spin ice journal November 2016
Tuning magnetic ordering in a dipolar square-kite tessellation journal February 2018
On the micromagnetic behavior of dipolar-coupled nanomagnets in defective square artificial spin ice systems journal December 2019
Ising-like behaviour of mesoscopic magnetic chains journal August 2018
Nano-Ising journal February 2016
Topologically Nontrivial Magnon Bands in Artificial Square Spin Ices with Dzyaloshinskii-Moriya Interaction journal September 2017
Intermediate phase and pseudo phase transition in an artificial spin ice model journal July 2019
Characterization of switching field distributions in Ising-like magnetic arrays journal April 2017
Magnetization reversal in kagome artificial spin ice studied by first-order reversal curves journal October 2017
Colloquium : Ice rule and emergent frustration in particle ice and beyond journal December 2019
Rewritable artificial magnetic charge ice journal May 2016
Cooperative magnetic phenomena in artificial spin systems: spin liquids, Coulomb phase and fragmentation of magnetism – a colloquium journal March 2019
Magnetic Characterization of Direct-Write Free-Form Building Blocks for Artificial Magnetic 3D Lattices journal February 2018
Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice text January 2018
Characterization of switching field distributions in Ising-like magnetic arrays text January 2016
Thermally induced magnetic relaxation in square artificial spin ice text January 2016
Magnetization reversal in Kagome artificial spin ice studied by first-order reversal curves text January 2017
Thermally and field-driven mobility of emergent magnetic charges in square artificial spin ice text January 2018
Intermediate phase and pseudo phase transition in an artificial spin ice model text January 2019
Nanoscale control of competing interactions and geometrical frustration in a dipolar trident lattice journal October 2017

Similar Records

Dipolar Cairo lattice: Geometrical frustration and short-range correlations
Journal Article · Mon Oct 07 00:00:00 EDT 2019 · Physical Review Materials · OSTI ID:1377411

Entropy-driven order in an array of nanomagnets
Journal Article · Thu Apr 07 00:00:00 EDT 2022 · Nature Physics · OSTI ID:1377411

Field-Tunable Interactions and Frustration in Underlayer-Mediated Artificial Spin Ice
Journal Article · Fri Sep 10 00:00:00 EDT 2021 · Physical Review Letters · OSTI ID:1377411