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Title: Magnetism in icosahedral quasicrystals: current status and open questions

Abstract

Progress in our understanding of the magnetic properties of R-containing icosahedral quasicrystals (R = rare earth element) from over 20 years of experimental effort is reviewed. This includes the much studied R-Mg-Zn and R-Mg-Cd ternary systems, as well as several magnetic quasicrystals that have been discovered and investigated more recently including Sc-Fe-Zn, R-Ag-In, Yb-Au-Al, the recently synthesized R-Cd binary quasicrystals, and their periodic approximants. In many ways, the magnetic properties among these quasicrystals are very similar. However, differences are observed that suggest new experiments and promising directions for future research.

Authors:
 [1]
  1. Ames Lab., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1233276
Report Number(s):
IS-J-8554
Journal ID: ISSN 1468-6996
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Science and Technology of Advanced Materials
Additional Journal Information:
Journal Volume: 15; Journal Issue: 4; Journal ID: ISSN 1468-6996
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Goldman, Alan I. Magnetism in icosahedral quasicrystals: current status and open questions. United States: N. p., 2014. Web. doi:10.1088/1468-6996/15/4/044801.
Goldman, Alan I. Magnetism in icosahedral quasicrystals: current status and open questions. United States. https://doi.org/10.1088/1468-6996/15/4/044801
Goldman, Alan I. Wed . "Magnetism in icosahedral quasicrystals: current status and open questions". United States. https://doi.org/10.1088/1468-6996/15/4/044801. https://www.osti.gov/servlets/purl/1233276.
@article{osti_1233276,
title = {Magnetism in icosahedral quasicrystals: current status and open questions},
author = {Goldman, Alan I.},
abstractNote = {Progress in our understanding of the magnetic properties of R-containing icosahedral quasicrystals (R = rare earth element) from over 20 years of experimental effort is reviewed. This includes the much studied R-Mg-Zn and R-Mg-Cd ternary systems, as well as several magnetic quasicrystals that have been discovered and investigated more recently including Sc-Fe-Zn, R-Ag-In, Yb-Au-Al, the recently synthesized R-Cd binary quasicrystals, and their periodic approximants. In many ways, the magnetic properties among these quasicrystals are very similar. However, differences are observed that suggest new experiments and promising directions for future research.},
doi = {10.1088/1468-6996/15/4/044801},
journal = {Science and Technology of Advanced Materials},
number = 4,
volume = 15,
place = {United States},
year = {Wed Jul 02 00:00:00 EDT 2014},
month = {Wed Jul 02 00:00:00 EDT 2014}
}

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Cited by: 40 works
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Works referenced in this record:

Electronic specific heat coefficient and magnetic entropy of icosahedral Mg-RE-Zn (RE=Gd, Tb and Y) quasicrystals
journal, May 1995


Magnetism in quasicrystals
journal, May 2008


Neutron scattering study on spin correlations and fluctuations in the transition-metal-based magnetic quasicrystal Zn-Fe-Sc
journal, January 2008


Magnetic properties of W-Fe alloys
journal, April 1986


Magnetic Point Groups and Space Groups
book, January 2005


Magnetic correlations in the Cd–Mg–Tb icosahedral quasicrystal
journal, August 2002


Correlation between atomic rearrangement in defective fullerenes and migration behavior of encaged metal ions
journal, June 2006


New stable icosahedral quasicrystalline phase in the Sc–Cu–Zn system
journal, December 2003


Spin freezing in icosahedral Tb–Mg–Zn and Tb–Mg–Cd quasicrystals
journal, November 2003


New Class of Amorphous and Icosahedral Phases in Zn-Mg-Rare-Earth Metal Alloys
journal, November 1994

  • Niikura, Akio; Tsai, An-Pang; Inoue, Akihisa
  • Japanese Journal of Applied Physics, Vol. 33, Issue Part 2, No. 11A
  • DOI: 10.1143/jjap.33.l1538

Structural and magnetic transitions in the crystalline approximant Cd 6 Sm
journal, January 2012


Magnetic and electrical properties of a stable Zn-Mg-Ho icosahedral quasicrystal
journal, December 1998


Interplay between magnetic and spatial order in quasicrystals
journal, February 2006


A new well-ordered simple icosahedral quasicrystalline phase in the Zn-Mg-Er system
journal, August 2002


Solution growth of a binary icosahedral quasicrystal of Sc 12 Zn 88
journal, January 2010


Magnetic properties of single grain R–Mg–Cd primitive icosahedral quasicrystals (R=Y, Gd, Tb or Dy)
journal, April 2004


Long range antiferromagnetic order in Ising model simulations in a two-dimensional Penrose lattice
journal, March 2004


Crystalline phases displaying pseudo-icosahedral symmetry in Ag42In42RE16 (RE = Gd, Tb, Dy, Ho, Er, Tm, Yb, and Lu)
journal, May 2004


Discovery of stable icosahedral quasicrystals: progress in understanding structure and properties
journal, January 2013


Magnetic properties of R8Mg42Zn50 quasicrystals (R = Tb, Dy, Ho, Er)
journal, July 1997


Magnetic properties and 155 Gd Mössbauer spectroscopy of the icosahedral quasicrystal Ag 50 In 36 Gd 14
journal, July 2007


Intermediate-valence quasicrystal of a Cd-Yb alloy under pressure
journal, June 2010


Structural, magnetic, and Mössbauer spectral study of the icosahedral quasicrystal Zn 77 Fe 7 Sc 16
journal, June 2009


Magnetic neutron scattering from quasicrystalline Zn–Mg–Ho and Zn–Mg–Y at low temperatures
journal, December 2000


Observation of Quasimagnetic Structures in Rare-Earth-Based Icosahedral Quasicrystals
journal, June 1997


Magnetic Properties of Quasicrystals
book, January 1999


Systematic study of magnetic properties in Zn-based Tsai-type icosahedral quasicrystals and their approximant
journal, February 2006


Icosahedral quasicrystals and magnetism
journal, April 1990


Spin dynamics in i-R8Mg42Zn50 Quasicrystals (R=Gd, Tb, Dy)
journal, May 1999


Highly ordered structure of icosahedral quasicrystals in Zn-Mg-RE (RE ≡ rare earth metals) systems
journal, September 1994


Magnetic property of a Zn–Mg–Sc icosahedral quasicrystal
journal, August 2002


Approximants in the Ag–In– M and Au–Sn– M ( M = Ca or Rare Earth Metals) Systems
journal, October 2008

  • Morita, Yoshiki; Tsai, An Pang
  • Japanese Journal of Applied Physics, Vol. 47, Issue 10
  • DOI: 10.1143/jjap.47.7975

Fascinating quasicrystals
journal, December 2007

  • Steurer, Walter; Deloudi, Sofia
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 64, Issue 1
  • DOI: 10.1107/s0108767307038627

Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet Y 2 Mo 2 O 7
journal, February 1997


Magnetic properties of icosahedral R–Mg–Zn quasicrystals (R=Y, Tb, Dy, Ho and Er)
journal, May 2000


Batavia
journal, October 2003


Atomic structure of the binary icosahedral Yb–Cd quasicrystal
journal, December 2006

  • Takakura, Hiroyuki; Gómez, Cesar Pay; Yamamoto, Akiji
  • Nature Materials, Vol. 6, Issue 1
  • DOI: 10.1038/nmat1799

Israel Journal of Chemistry
journal, December 2011


Order and Disorder in Icosahedral Alloys
book, January 1999


Nonuniform local magnetism in Al-Mn quasicrystals
journal, October 1986


A stable binary quasicrystal
journal, November 2000

  • Tsai, A. P.; Guo, J. Q.; Abe, E.
  • Nature, Vol. 408, Issue 6812
  • DOI: 10.1038/35046202

Stable icosahedral quasicrystals in the Ag-In-Ca, Ag-In-Yb, Ag-In-Ca-Mg and Ag-In-Yb-Mg systems
journal, June 2002


The Microscopic Basis of the Glass Transition in Polymers from Neutron Scattering Studies
journal, March 1995


Quasicrystals in as-cast Mg-Zn-RE alloys
journal, June 1993


Antiferromagnetic order and the structural order–disorder transition in the Cd 6 Ho quasicrystal approximant
journal, September 2013

  • Kreyssig, Andreas; Beutier, Guillaume; Hiroto, Takanobu
  • Philosophical Magazine Letters, Vol. 93, Issue 9
  • DOI: 10.1080/09500839.2013.815375

Magnetic properties of the icosahedral Cd-Mg-rare-earth quasicrystals
journal, January 2001

  • Sato, Taku J.; Guo, Junqing; Tsai, An Pang
  • Journal of Physics: Condensed Matter, Vol. 13, Issue 4
  • DOI: 10.1088/0953-8984/13/4/106

The crystal structure of the metallic phase Mg32(Al, Zn)49
journal, April 1957


Crystal structure of a hexagonal phase and its relation to a quasicrystalline phase in Zn-Mg-Y alloy
journal, September 1998

  • Takakura, H.; Sato, A.; Yamamoto, A.
  • Philosophical Magazine Letters, Vol. 78, Issue 3
  • DOI: 10.1080/095008398178020

Thermodynamic and transport properties of single-crystal Yb 14 MnSb 11
journal, June 1999


Pressure-induced formation of intermediate-valence quasicrystalline system in a Cd-Mg-Yb alloy
journal, August 2011


Growth of large-grain R-Mg-Zn quasicrystals from the ternary melt (R = Y, Er, Ho, Dy and Tb)
journal, June 1998


High-energy X-ray diffraction studies of i-Sc 12 Zn 88
journal, September 2010


Magnetic Property of Stable Icosahedral Quasicrystal in Zn-Fe-Sc Alloy
journal, March 2004

  • Kashimoto, Shiro; Motomura, Senni; Maezawa, Ryo
  • Japanese Journal of Applied Physics, Vol. 43, Issue No. 4B
  • DOI: 10.1143/jjap.43.l526

Powder Neutron Diffraction Study of TbCoGa 5
journal, January 2011

  • Watanuki, Ryuta; Sanada, Naoyuki; Suzuki, Kazuya
  • Journal of the Physical Society of Japan, Vol. 80, Issue Suppl.A
  • DOI: 10.1143/jpsjs.80sa.sa083

Stable Icosahedral Quasicrystals in the Cd-Mg-RE (RE = Rare Earth Element) Systems
journal, August 2000

  • Guo, Junqing; Abe, Eiji; Tsai, An-Pang
  • Japanese Journal of Applied Physics, Vol. 39, Issue Part 2, No. 8A
  • DOI: 10.1143/jjap.39.l770

Icosahedral quasicrystal in annealed ZnMgSc alloys
journal, November 2001

  • Kaneko, Yasushi; Arichika, Yasuomi; Ishimasa, Tsutomu
  • Philosophical Magazine Letters, Vol. 81, Issue 11
  • DOI: 10.1080/09500830110084984

Noncollinear Magnetic Order in Quasicrystals
journal, August 2004


Ground-state phase diagram of Na x CoO 2 : correlation of Na ordering with CoO 2 stacking sequences
journal, December 2008


Quantum critical state in a magnetic quasicrystal
journal, October 2012

  • Deguchi, Kazuhiko; Matsukawa, Shuya; Sato, Noriaki K.
  • Nature Materials, Vol. 11, Issue 12
  • DOI: 10.1038/nmat3432

Stable Zn[sbnd]Mg[sbnd]rare[sbnd]earth face-centred icosahedral alloys with pentagonal dodecahedral solidification morphology
journal, June 1994


Formation condition of the icosahedral phase in rapidly quenched Ag–In–RE (rare earth) alloys
journal, January 2006


Spin-glass behaviour of icosahedral Mg-Gd-Zn and Mg-Tb-Zn quasi-crystals
journal, March 1995


A new stable icosahedral quasicrystal in the Cd-Mg-Dy system
journal, January 2001


Frustrated classical XY spin systems in the two-dimensional Penrose tiling
journal, February 1993


Icosahedral quasicrystal and 1/1 cubic approximant in Au–Al–Yb alloys
journal, September 2011


57 Fe Mössbauer Effect Study of Zn–Sc–Fe Icosahedral Quasicrystal and Its 1/1 Crystal Approximant
journal, May 2008

  • Edagawa, Keiichi; Tamura, Ryuji; Yamada, Tsunetomo
  • Japanese Journal of Applied Physics, Vol. 47, Issue 5
  • DOI: 10.1143/jjap.47.3581

Theory of color symmetry for periodic and quasiperiodic crystals
journal, October 1997


Magnetic properties of the Ag–In–rare-earth 1/1 approximants
journal, January 2011


Nonthermal component in heat-induced structural deformation and phase transition in gold
journal, November 2000


Intermediate-valence icosahedral Au-Al-Yb quasicrystal
journal, September 2012


Magnetic excitations in the crystalline and quasicrystalline Zn–Mg–Ho phases
journal, June 2007


Magnetic and electrical properties of icosahedral quasicrystalline Al-Mn alloys
journal, August 1986


Crystal Research and Technology
journal,  


A family of binary magnetic icosahedral quasicrystals based on rare earths and cadmium
journal, June 2013

  • Goldman, Alan I.; Kong, Tai; Kreyssig, Andreas
  • Nature Materials, Vol. 12, Issue 8
  • DOI: 10.1038/nmat3672

Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
journal, November 1984


Magnetic phase structure on the Penrose lattice
journal, December 1986

  • Godr�che, C.; Luck, J. M.; Orland, H.
  • Journal of Statistical Physics, Vol. 45, Issue 5-6
  • DOI: 10.1007/BF01020574

Monte Carlo Simulation of the Ising Model on the Penrose Lattice
journal, January 1988

  • Okabe, Yutaka; Niizeki, Komajiro
  • Journal of the Physical Society of Japan, Vol. 57, Issue 1
  • DOI: 10.1143/JPSJ.57.16

Symmetry of Magnetically Ordered Quasicrystals
journal, March 1998


Magnetic quasicrystals: what can we expect to see in their neutron diffraction data?
journal, December 2000


Quantum Antiferromagnetism in Quasicrystals
journal, May 2003


Quantum Spins and Quasiperiodicity: A Real Space Renormalization Group Approach
journal, January 2004


Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons
journal, October 1954


A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model
journal, July 1956

  • Kasuya, Tadao
  • Progress of Theoretical Physics, Vol. 16, Issue 1
  • DOI: 10.1143/PTP.16.45

Magnetic Properties of Cu-Mn Alloys
journal, June 1957


Short-range order and spin-glass-like freezing in A –Mg– R ( A = Zn or Cd; R = rare-earth elements) magnetic quasicrystals
journal, December 2004

  • Sato, Taku J.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 61, Issue 1
  • DOI: 10.1107/S0108767304026625

Long-range magnetic order in the quasicrystalline approximant Cd 6 Tb
journal, December 2010


Electrical and Magnetic Properties of Quasicrystal Approximants RCd 6 (R: Rare Earth)
journal, February 2012

  • Mori, Akinobu; Ota, Hisashi; Yoshiuchi, Shingo
  • Journal of the Physical Society of Japan, Vol. 81, Issue 2
  • DOI: 10.1143/JPSJ.81.024720

Quasicrystals and crystalline approximants
journal, January 1993


Reinvestigation of long-range magnetic ordering in icosahedral Tb-Mg-Zn
journal, May 1998


Anisotropic Spin Correlations in the Zn-Mg-Ho Icosahedral Quasicrystal
journal, September 1998


Spin freezing in the geometrically frustrated pyrochlore antiferromagnet Tb 2 Mo 2 O 7
journal, November 1992


Frustration Induced Spin Freezing in a Site-Ordered Magnet: Gadolinium Gallium Garnet
journal, March 1995


Spin glasses: Experimental facts, theoretical concepts, and open questions
journal, October 1986


Non-Fermi-Liquid Scaling of the Magnetic Response in UCu 5 x Pd x ( x = 1 , 1.5 )
journal, July 1995


Order and Disorder in Icosahedral Alloys
book, October 1991


Magnetic properties of quasicrystals. [特集・準結晶研究の発展 準結晶の磁性]
journal, January 1990


Magnetic properties of the Ag-In-rare-earth 1/1 approximants
text, January 2010


Noncollinear magnetic order in quasicrystals
text, January 2004


Crystalline phases displaying pseudo-icosahedral symmetry in Ag42In42RE16 (RE = Gd, Tb, Dy, Ho, Er, Tm, Yb, and Lu)
journal, May 2004


A stable binary quasicrystal
journal, November 2000

  • Tsai, A. P.; Guo, J. Q.; Abe, E.
  • Nature, Vol. 408, Issue 6812
  • DOI: 10.1038/35046202

Atomic structure of the binary icosahedral Yb–Cd quasicrystal
journal, December 2006

  • Takakura, Hiroyuki; Gómez, Cesar Pay; Yamamoto, Akiji
  • Nature Materials, Vol. 6, Issue 1
  • DOI: 10.1038/nmat1799

Quantum critical state in a magnetic quasicrystal
journal, October 2012

  • Deguchi, Kazuhiko; Matsukawa, Shuya; Sato, Noriaki K.
  • Nature Materials, Vol. 11, Issue 12
  • DOI: 10.1038/nmat3432

A family of binary magnetic icosahedral quasicrystals based on rare earths and cadmium
journal, June 2013

  • Goldman, Alan I.; Kong, Tai; Kreyssig, Andreas
  • Nature Materials, Vol. 12, Issue 8
  • DOI: 10.1038/nmat3672

Icosahedral quasicrystal in annealed ZnMgSc alloys
journal, November 2001

  • Kaneko, Yasushi; Arichika, Yasuomi; Ishimasa, Tsutomu
  • Philosophical Magazine Letters, Vol. 81, Issue 11
  • DOI: 10.1080/09500830110084984

Stable icosahedral quasicrystals in the Ag-In-Ca, Ag-In-Yb, Ag-In-Ca-Mg and Ag-In-Yb-Mg systems
journal, June 2002


A new well-ordered simple icosahedral quasicrystalline phase in the Zn-Mg-Er system
journal, August 2002


Highly ordered structure of icosahedral quasicrystals in Zn-Mg-RE (RE ≡ rare earth metals) systems
journal, September 1994


Stable Zn[sbnd]Mg[sbnd]rare[sbnd]earth face-centred icosahedral alloys with pentagonal dodecahedral solidification morphology
journal, June 1994


Crystal structure of a hexagonal phase and its relation to a quasicrystalline phase in Zn-Mg-Y alloy
journal, September 1998

  • Takakura, H.; Sato, A.; Yamamoto, A.
  • Philosophical Magazine Letters, Vol. 78, Issue 3
  • DOI: 10.1080/095008398178020

Growth of large-grain R-Mg-Zn quasicrystals from the ternary melt (R = Y, Er, Ho, Dy and Tb)
journal, June 1998


Magnetic properties of single grain R–Mg–Cd primitive icosahedral quasicrystals (R=Y, Gd, Tb or Dy)
journal, April 2004


Formation condition of the icosahedral phase in rapidly quenched Ag–In–RE (rare earth) alloys
journal, January 2006


Systematic study of magnetic properties in Zn-based Tsai-type icosahedral quasicrystals and their approximant
journal, February 2006


Magnetic excitations in the crystalline and quasicrystalline Zn–Mg–Ho phases
journal, June 2007


Magnetism in quasicrystals
journal, May 2008


Magnetic and electrical properties of icosahedral quasicrystalline Al-Mn alloys
journal, August 1986


Spin freezing in icosahedral Tb–Mg–Zn and Tb–Mg–Cd quasicrystals
journal, November 2003


Magnetic properties and 155 Gd Mössbauer spectroscopy of the icosahedral quasicrystal Ag 50 In 36 Gd 14
journal, July 2007


Spin-glass behaviour of icosahedral Mg-Gd-Zn and Mg-Tb-Zn quasi-crystals
journal, March 1995


Fascinating quasicrystals
journal, December 2007

  • Steurer, Walter; Deloudi, Sofia
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 64, Issue 1
  • DOI: 10.1107/s0108767307038627

Works referencing / citing this record:

Spin glasses: redux: an updated experimental/materials survey
journal, April 2015


A neutron diffraction demonstration of long-range magnetic order in the quasicrystal approximant DyCd 6
journal, March 2019

  • Ryan, D. H.; Cadogan, J. M.; Kong, T.
  • AIP Advances, Vol. 9, Issue 3
  • DOI: 10.1063/1.5079991

Composition-driven spin glass to ferromagnetic transition in the quasicrystal approximant Au-Al-Gd
journal, January 2016


Campestarenes: new building blocks with 5-fold symmetry
journal, January 2018

  • Nam, Seong; Ware, David C.; Brothers, Penelope J.
  • Organic & Biomolecular Chemistry, Vol. 16, Issue 35
  • DOI: 10.1039/c8ob00957k

Whirling spin order in the quasicrystal approximant Au 72 Al 14 Tb 14
journal, August 2019


Looking for alternatives to the superspace description of icosahedral quasicrystals
journal, January 2019

  • Madison, A. E.; Madison, P. A.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2221
  • DOI: 10.1098/rspa.2018.0667

Electronic band structure of a two-dimensional oxide quasicrystal
journal, September 2019


Long-range Magnetic Order in Models for Rare Earth Quasicrystals
text, January 2015