Ice, glass, and solid phases in artificial spin systems with quenched disorder

Shi, Yifei; Nisoli, Cristiano; Chern, Gia-Wei

doi:10.1063/5.0046083

Title: Ice, glass, and solid phases in artificial spin systems with quenched disorder

Abstract

We present a numerical study on a disordered artificial spin-ice system, which interpolates between the long-range ordered square ice and the fully degenerate shakti ice. Starting from the square-ice geometry, disorder is implemented by adding vertical/horizontal magnetic islands to the center of some randomly chosen square plaquettes of the array at different densities. When no island is added, we have ordered square ice. When all square plaquettes have been modified, we obtain shakti ice, which is disordered yet in a topological phase corresponding to the Rys F-model. In between, geometrical frustration due to these additional center spins disrupts the long-range Ising order of square ice, giving rise to a spin-glass regime at low temperatures. The artificial spin system proposed in our work provides an experimental platform to study the interplay between quenched disorder and geometrical frustration.

Authors:

Shi, Yifei ^[1];

^[2];

^[1]

Univ. of Virginia, Charlottesville, VA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Mar 24 00:00:00 EDT 2021

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1804436

Alternate Identifier(s):: OSTI ID: 1772513

Report Number(s):: LA-UR-21-21120
Journal ID: ISSN 0003-6951; TRN: US2212298

Grant/Contract Number:: 89233218CNA000001; DOE-LDRD

Resource Type:: Accepted Manuscript

Journal Name:: Applied Physics Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 12; Journal ID: ISSN 0003-6951

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; magnetic ordering; metamaterials; phase transitions; glass transitions; magnetic materials; geometric frustration; statistical mechanics models; Monte Carlo methods

Citation Formats


                    Shi, Yifei, Nisoli, Cristiano, and Chern, Gia-Wei. Ice, glass, and solid phases in artificial spin systems with quenched disorder.  United States: N. p., 2021. 
Web.  doi:10.1063/5.0046083.

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                    Shi, Yifei, Nisoli, Cristiano, & Chern, Gia-Wei. Ice, glass, and solid phases in artificial spin systems with quenched disorder.  United States.  https://doi.org/10.1063/5.0046083

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                    Shi, Yifei, Nisoli, Cristiano, and Chern, Gia-Wei. Wed .  
"Ice, glass, and solid phases in artificial spin systems with quenched disorder".  United States.  https://doi.org/10.1063/5.0046083.  https://www.osti.gov/servlets/purl/1804436.

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@article{osti_1804436,

  title        = {Ice, glass, and solid phases in artificial spin systems with quenched disorder},

  author       = {Shi, Yifei and Nisoli, Cristiano and Chern, Gia-Wei},

  abstractNote = {We present a numerical study on a disordered artificial spin-ice system, which interpolates between the long-range ordered square ice and the fully degenerate shakti ice. Starting from the square-ice geometry, disorder is implemented by adding vertical/horizontal magnetic islands to the center of some randomly chosen square plaquettes of the array at different densities. When no island is added, we have ordered square ice. When all square plaquettes have been modified, we obtain shakti ice, which is disordered yet in a topological phase corresponding to the Rys F-model. In between, geometrical frustration due to these additional center spins disrupts the long-range Ising order of square ice, giving rise to a spin-glass regime at low temperatures. The artificial spin system proposed in our work provides an experimental platform to study the interplay between quenched disorder and geometrical frustration.},

  doi          = {10.1063/5.0046083},

  journal      = {Applied Physics Letters},

  number       = 12,

  volume       = 118,

  place        = {United States},

  year         = {Wed Mar 24 00:00:00 EDT 2021},

  month        = {Wed Mar 24 00:00:00 EDT 2021}

}

Copy to clipboard

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Similar Records

Title: Ice, glass, and solid phases in artificial spin systems with quenched disorder

Abstract

Citation Formats

Thermal transitions in nano-patterned XY-magnets journal, July 2014

Insulating spin glasses journal, March 1979

Theory of spin glasses journal, May 1975

Degeneracy and Criticality from Emergent Frustration in Artificial Spin Ice journal, October 2013

Focus on artificial frustrated systems journal, July 2014

Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model journal, October 1981

Geometrical frustration journal, February 2006

Crystallites of magnetic charges in artificial spin ice journal, August 2013

Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder journal, April 2007

Numerical studies of Ising spin glasses in two, three, and four dimensions journal, April 1988

Jammed Spin Liquid in the Bond-Disordered Kagome Antiferromagnet journal, December 2017

Thermal ground-state ordering and elementary excitations in artificial magnetic square ice journal, November 2010

Topological Spin Glass in Diluted Spin Ice journal, June 2015

Advances in artificial spin ice journal, November 2019

Topological order of the Rys F-model and its breakdown in realistic square spin ice: Topological sectors of Faraday loops journal, November 2020

Evidence Against Spin-Glass Order in the Two-Dimensional Random-Bond Ising Model journal, November 1979

Spin-Glass Transition in Bond-Disordered Heisenberg Antiferromagnets Coupled with Local Lattice Distortions on a Pyrochlore Lattice journal, July 2011

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice journal, August 2014

A Theory of Water and Ionic Solution, with Particular Reference to Hydrogen and Hydroxyl Ions journal, August 1933

Vacancy-induced spin textures and their interactions in a classical spin liquid journal, November 2012

Field-induced phase coexistence in an artificial spin ice journal, December 2018

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands journal, January 2006

Thermal fluctuations in artificial spin ice journal, June 2014

Exchange Monte Carlo Method and Application to Spin Glass Simulations journal, June 1996

Monte Carlo simulation of the two-dimensional random ( ± J ) Ising model journal, November 1983

Real-space observation of magnetic excitations and avalanche behavior in artificial quasicrystal lattices journal, October 2016

Classical topological order in the kinetics of artificial spin ice journal, April 2018

Introduction to Frustrated Magnetism book, January 2011

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration journal, October 2013

Frustration on the way to crystallization in glass journal, February 2006

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

Heterogeneous freezing in a geometrically frustrated spin model without disorder: Spontaneous generation of two time scales journal, July 2012

The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment journal, December 2005

Emergent reduced dimensionality by vertex frustration in artificial spin ice journal, October 2015

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals journal, April 2016

Spin jam induced by quantum fluctuations in a frustrated magnet journal, August 2015

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration journal, April 2013

Frustration and thermalization in an artificial magnetic quasicrystal journal, December 2017

Critical Behavior of an Ising Spin-Glass journal, July 1986

Aging, memory, and nonhierarchical energy landscape of spin jam journal, October 2016

A Theory of Water and Ionic Solution, with Particular Reference to Hydrogen and Hydroxyl Ions journal, August 1933

Frustration by design journal, July 2016

Aging, memory, and nonhierarchical energy landscape of spin jam journal, October 2016

Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales text, January 2012

Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet text, January 2017

Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops text, January 2020

Evidence Against Spin-Glass Order in the Two-Dimensional Random-Bond Ising Model text, January 1979

Thermal transitions in nano-patterned XY-magnets
journal, July 2014

Insulating spin glasses
journal, March 1979

Theory of spin glasses
journal, May 1975

Degeneracy and Criticality from Emergent Frustration in Artificial Spin Ice
journal, October 2013

Focus on artificial frustrated systems
journal, July 2014

Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model
journal, October 1981

Geometrical frustration
journal, February 2006

Crystallites of magnetic charges in artificial spin ice
journal, August 2013

Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
journal, April 2007

Numerical studies of Ising spin glasses in two, three, and four dimensions
journal, April 1988

Jammed Spin Liquid in the Bond-Disordered Kagome Antiferromagnet
journal, December 2017

Thermal ground-state ordering and elementary excitations in artificial magnetic square ice
journal, November 2010

Topological Spin Glass in Diluted Spin Ice
journal, June 2015

Advances in artificial spin ice
journal, November 2019

Topological order of the Rys F-model and its breakdown in realistic square spin ice: Topological sectors of Faraday loops
journal, November 2020

Evidence Against Spin-Glass Order in the Two-Dimensional Random-Bond Ising Model
journal, November 1979

Spin-Glass Transition in Bond-Disordered Heisenberg Antiferromagnets Coupled with Local Lattice Distortions on a Pyrochlore Lattice
journal, July 2011

Emergent ice rule and magnetic charge screening from vertex frustration in artificial spin ice
journal, August 2014

A Theory of Water and Ionic Solution, with Particular Reference to Hydrogen and Hydroxyl Ions
journal, August 1933

Vacancy-induced spin textures and their interactions in a classical spin liquid
journal, November 2012

Field-induced phase coexistence in an artificial spin ice
journal, December 2018

Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands
journal, January 2006

Thermal fluctuations in artificial spin ice
journal, June 2014

Exchange Monte Carlo Method and Application to Spin Glass Simulations
journal, June 1996

Monte Carlo simulation of the two-dimensional random ( $\pm J$ ) Ising model
journal, November 1983

Real-space observation of magnetic excitations and avalanche behavior in artificial quasicrystal lattices
journal, October 2016

Classical topological order in the kinetics of artificial spin ice
journal, April 2018

Introduction to Frustrated Magnetism
book, January 2011

Colloquium : Artificial spin ice: Designing and imaging magnetic frustration
journal, October 2013

Frustration on the way to crystallization in glass
journal, February 2006

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

Heterogeneous freezing in a geometrically frustrated spin model without disorder: Spontaneous generation of two time scales
journal, July 2012

The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
journal, December 2005

Emergent reduced dimensionality by vertex frustration in artificial spin ice
journal, October 2015

Direct imaging of coexisting ordered and frustrated sublattices in artificial ferromagnetic quasicrystals
journal, April 2016

Spin jam induced by quantum fluctuations in a frustrated magnet
journal, August 2015

Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration
journal, April 2013

Frustration and thermalization in an artificial magnetic quasicrystal
journal, December 2017

Critical Behavior of an Ising Spin-Glass
journal, July 1986

Aging, memory, and nonhierarchical energy landscape of spin jam
journal, October 2016

A Theory of Water and Ionic Solution, with Particular Reference to Hydrogen and Hydroxyl Ions
journal, August 1933

Frustration by design
journal, July 2016

Aging, memory, and nonhierarchical energy landscape of spin jam
journal, October 2016

Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
text, January 2012

Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
text, January 2017

Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops
text, January 2020

Evidence Against Spin-Glass Order in the Two-Dimensional Random-Bond Ising Model
text, January 1979