Orbital Dimer Model for the Spin-Glass State in Y2Mo2O7

Thygesen, Peter M. M.; Paddison, Joseph A. M.; Zhang, Ronghuan; Beyer, Kevin A.; Chapman, Karena W.; Playford, Helen Y.; Tucker, Matthew G.; Keen, David A.; Hayward, Michael A.; Goodwin, Andrew L.

doi:10.1103/PhysRevLett.118.067201

Title: Orbital Dimer Model for the Spin-Glass State in $Y_{2} {Mo}_{2} O_{7}$

Journal Article · Wed Feb 08 00:00:00 EST 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.118.067201· OSTI ID:1390903

Thygesen, Peter M. M. ^[1]; Paddison, Joseph A. M. ^[2]; Zhang, Ronghuan ^[1]; Beyer, Kevin A. ^[3]; Chapman, Karena W. ^[3]; Playford, Helen Y. ^[4]; Tucker, Matthew G. ^[5]; Keen, David A. ^[4]; Hayward, Michael A. ^[1]; Goodwin, Andrew L. ^[1]

Univ. of Oxford, Oxford (United Kingdom)
Univ. of Oxford, Oxford (United Kingdom); Rutherford Appleton Lab., Oxfordshire (United Kingdom); Georgia Inst. of Technology, Atlanta, GA (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)
Rutherford Appleton Lab., Oxfordshire (United Kingdom)
Rutherford Appleton Lab., Oxfordshire (United Kingdom); Diamond Light Source, Oxfordshire (United Kingdom); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

The formation of a spin glass generally requires that magnetic exchange interactions are both frustrated and disordered. Consequently, the origin of spin-glass behavior in Y₂Mo₂O₇-in which magnetic Mo⁴⁺ ions occupy a frustrated pyrochlore lattice with minimal compositional disorder-has been a longstanding question. Here, we use neutron and x-ray pair-distribution function (PDF) analysis to develop a disorder model that resolves apparent incompatibilities between previously reported PDF, extended x-rayabsorption fine structure spectroscopy, and NMR studies, and provides a new and physical explanation of the exchange disorder responsible for spin-glass formation. We show that Mo⁴⁺ ions displace according to a local "two-in-two-out" rule on each Mo₄ tetrahedron, driven by orbital dimerization of Jahn-Teller active Mo⁴⁺ ions. Long-range orbital order is prevented by the macroscopic degeneracy of dimer coverings permitted by the pyrochlore lattice. Cooperative O^2- displacements yield a distribution of Mo-O-Mo angles, which in turn introduces disorder into magnetic interactions. In conclusion, our study demonstrates experimentally how frustration of atomic displacements can assume the role of compositional disorder in driving a spin-glass transition.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: Rutherford Appleton Laboratory, ISIS Pulsed Neutron and Muon Facility; STFC Daresbury Laboratory; Engineering and Physical Sciences Research Council (EPSRC); European Research Council (ERC); Argonne National Laboratory, Advanced Photon Source; USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1390903

Alternate ID(s):: OSTI ID: 1343354

Journal Information:: Physical Review Letters, Vol. 118, Issue 6; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 32 works

Citation information provided by
Web of Science

References (69)

Formation of isomorphic Ir3+ and Ir4+ octamers and spin dimerization in the spinel CuIr2S4 Radaelli, Paolo G.; Horibe, Y.; Gutmann, Matthias J. Nature, Vol. 416, Issue 6877 https://doi.org/10.1038/416155a	journal	March 2002
Quest for Frustration Driven Distortion in $Y_{2} M o_{2} O_{7}$ Sagi, Eva; Ofer, Oren; Keren, Amit Physical Review Letters, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevLett.94.237202	journal	June 2005
Valence Bond Glass on an fcc Lattice in the Double Perovskite ${Ba}_{2} {YMoO}_{6}$ de Vries, M. A.; Mclaughlin, A. C.; Bos, J. -W. G. Physical Review Letters, Vol. 104, Issue 17 https://doi.org/10.1103/PhysRevLett.104.177202	journal	April 2010
Nature of the Transition between a Ferromagnetic Metal and a Spin-Glass Insulator in Pyrochlore Molybdates Hanasaki, N.; Watanabe, K.; Ohtsuka, T. Physical Review Letters, Vol. 99, Issue 8 https://doi.org/10.1103/PhysRevLett.99.086401	journal	August 2007
Local and average structures of the spin-glass pyrochlore $Y_{2} {Mo}_{2} O_{7}$ from neutron diffraction and neutron pair distribution function analysis Greedan, J. E.; Gout, Delphine; Lozano-Gorrin, A. D. Physical Review B, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevB.79.014427	journal	January 2009
Anomalous Magnetotransport Properties of $R_{2} {Mo}_{2} O_{7}$ near the Magnetic Phase Boundary Katsufuji, T.; Hwang, H. Ẏ.; Cheong, S-W. Physical Review Letters, Vol. 84, Issue 9 https://doi.org/10.1103/PhysRevLett.84.1998	journal	February 2000
From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores Clark, L.; Nilsen, G. J.; Kermarrec, E. Physical Review Letters, Vol. 113, Issue 11 https://doi.org/10.1103/PhysRevLett.113.117201	journal	September 2014
Local lattice disorder in the geometrically frustrated spin-glass pyrochlore $Y_{2} {Mo}_{2} O_{7}$ Booth, C. H.; Gardner, J. S.; Kwei, G. H. Physical Review B, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevB.62.R755	journal	July 2000
Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder Saunders, T. E.; Chalker, J. T. Physical Review Letters, Vol. 98, Issue 15 https://doi.org/10.1103/PhysRevLett.98.157201	journal	April 2007
Frustration-driven spin freezing in the $S = \frac{1}{2}$ fcc perovskite ${Sr}_{2} {MgReO}_{6}$ Wiebe, C. R.; Greedan, J. E.; Kyriakou, P. P. Physical Review B, Vol. 68, Issue 13 https://doi.org/10.1103/PhysRevB.68.134410	journal	October 2003
Observation of all-in type tetrahedral displacements in nonmagnetic pyrochlore niobates Torigoe, S.; Ishimoto, Y.; Aoishi, Y. Physical Review B, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevB.93.085109	journal	February 2016
On the origin of heavy quasiparticles in LiV ₂ O ₄ Fulde, P.; Yaresko, A. N.; Zvyagin, A. A. Europhysics Letters (EPL), Vol. 54, Issue 6 https://doi.org/10.1209/epl/i2001-00322-3	journal	June 2001
The Structure and Entropy of Ice and of Other Crystals with Some Randomness of Atomic Arrangement Pauling, Linus Journal of the American Chemical Society, Vol. 57, Issue 12 https://doi.org/10.1021/ja01315a102	journal	December 1935
Magnetic-susceptibility and specific-heat studies of spin-glass-like ordering in the pyrochlore compounds $R_{2}$ ${Mo}_{2}$ $O_{7}$ ( R =Y, Sm, or Gd) Raju, N. P.; Gmelin, E.; Kremer, R. K. Physical Review B, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevB.46.5405	journal	September 1992
Solvable Model of a Spin-Glass Sherrington, David; Kirkpatrick, Scott Physical Review Letters, Vol. 35, Issue 26 https://doi.org/10.1103/PhysRevLett.35.1792	journal	December 1975
Frustration Driven Lattice Distortion: An NMR Investigation of $Y_{2} {Mo}_{2} O_{7}$ Keren, Amit; Gardner, Jason S. Physical Review Letters, Vol. 87, Issue 17 https://doi.org/10.1103/PhysRevLett.87.177201	journal	October 2001
Successive Spin Freezing Behavior in a Pyrochlore Antiferromagnet Y ₂ Mo ₂ O ₇ under Magnetic Fields Miyoshi, Kiyotaka; Nishimura, Yoshinori; Honda, Kenji Journal of the Physical Society of Japan, Vol. 69, Issue 11 https://doi.org/10.1143/JPSJ.69.3517	journal	November 2000
The oxygen positional parameter in pyrochlores and its dependence on disorder Minervini, Licia; Grimes, Robin W.; Tabira, Yasunori Philosophical Magazine A, Vol. 82, Issue 1 https://doi.org/10.1080/01418610208240001	journal	January 2002
Orbital Liquid in Three-Dimensional Mott Insulator: ${LaTiO}_{3}$ Khaliullin, G.; Maekawa, S. Physical Review Letters, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevLett.85.3950	journal	October 2000
The crystal structure of the spin-glass pyrochlore, Y2Mo2O7 Reimers, J. N.; Greedan, J. E.; Sato, M. Journal of Solid State Chemistry, Vol. 72, Issue 2 https://doi.org/10.1016/0022-4596(88)90042-4	journal	February 1988
Charge-ice dynamics in the negative thermal expansion material Cd(CN) $_{2}$ Fairbank, Vanessa E.; Thompson, Amber L.; Cooper, Richard I. Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.104113	journal	September 2012
Spin-glass transition in geometrically frustrated antiferromagnets with weak disorder Andreanov, A.; Chalker, J. T.; Saunders, T. E. Physical Review B, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevB.81.014406	journal	January 2010
Scaling of Nonlinear Susceptibility in MnCu and GdAl Spin-Glasses Barbara, B.; Malozemoff, A. P.; Imry, Y. Physical Review Letters, Vol. 47, Issue 25 https://doi.org/10.1103/PhysRevLett.47.1852	journal	December 1981
Spin freezing in the geometrically frustrated pyrochlore antiferromagnet ${Tb}_{2}$ ${Mo}_{2}$ $O_{7}$ Gaulin, B. D.; Reimers, J. N.; Mason, T. E. Physical Review Letters, Vol. 69, Issue 22 https://doi.org/10.1103/PhysRevLett.69.3244	journal	November 1992
Some experimental aspects of spin glasses: A review Huang, C. Y. Journal of Magnetism and Magnetic Materials, Vol. 51, Issue 1-3 https://doi.org/10.1016/0304-8853(85)90002-2	journal	August 1985
A comparison of various commonly used correlation functions for describing total scattering Keen, David A. Journal of Applied Crystallography, Vol. 34, Issue 2 https://doi.org/10.1107/S0021889800019993	journal	April 2001
Nonlinear susceptibility measurements at the spin-glass transition of the pyrochlore antiferromagnet Y2Mo2O7 Gingras, M. J. P.; Stager, C. V.; Gaulin, B. D. Journal of Applied Physics, Vol. 79, Issue 8 https://doi.org/10.1063/1.362062	journal	January 1996
The Polaris powder diffractometer at ISIS Hull, S.; Smith, R. I.; David, W. I. F. Physica B: Condensed Matter, Vol. 180-181 https://doi.org/10.1016/0921-4526(92)90533-X	journal	June 1992
Quasispin Glass in a Geometrically Frustrated Magnet LaForge, A. D.; Pulido, S. H.; Cava, R. J. Physical Review Letters, Vol. 110, Issue 1 https://doi.org/10.1103/PhysRevLett.110.017203	journal	January 2013
Origin of magnetic freezing in pyrochlore $Y_{2} {Mo}_{2} O_{7}$ Ofer, Oren; Keren, Amit; Gardner, Jason S. Physical Review B, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevB.82.092403	journal	September 2010
Spin dynamics in geometrically frustrated antiferromagnetic pyrochlores Gardner, J. S.; Ehlers, G.; Bramwell, S. T. Journal of Physics: Condensed Matter, Vol. 16, Issue 11 https://doi.org/10.1088/0953-8984/16/11/011	journal	March 2004
Aging and memory properties of topologically frustrated magnets Dupuis, V.; Vincent, E.; Hammann, J. Journal of Applied Physics, Vol. 91, Issue 10 https://doi.org/10.1063/1.1450823	journal	January 2002
Geometric Frustration, Electronic Instabilities, and Charge Singlets in $Y_{2} {N b}_{2} O_{7}$ Blaha, P.; Singh, D. J.; Schwarz, K. Physical Review Letters, Vol. 93, Issue 21 https://doi.org/10.1103/PhysRevLett.93.216403	journal	November 2004
Spin glass with non-random interactions Villain, J. Journal of Physics C: Solid State Physics, Vol. 10, Issue 10 https://doi.org/10.1088/0022-3719/10/10/014	journal	May 1977
Magnetic pyrochlore oxides Gardner, Jason S.; Gingras, Michel J. P.; Greedan, John E. Reviews of Modern Physics, Vol. 82, Issue 1 https://doi.org/10.1103/RevModPhys.82.53	journal	January 2010
Spin-Orbital Short-Range Order on a Honeycomb-Based Lattice Nakatsuji, S.; Kuga, K.; Kimura, K. Science, Vol. 336, Issue 6081 https://doi.org/10.1126/science.1212154	journal	May 2012
Anisotropic Spin-Glass Behavior in ${Fe}_{2}$ Ti $O_{5}$ Atzmony, U.; Gurewitz, E.; Melamud, M. Physical Review Letters, Vol. 43, Issue 11 https://doi.org/10.1103/PhysRevLett.43.782	journal	September 1979
Dynamic Spin Ice: $\Pr_{2} {Sn}_{2} O_{7}$ Zhou, H. D.; Wiebe, C. R.; Janik, J. A. Physical Review Letters, Vol. 101, Issue 22 https://doi.org/10.1103/PhysRevLett.101.227204	journal	November 2008
Atomic displacements in the charge ice pyrochlore ${Bi}_{2} {Ti}_{2} O_{6} O^{'}$ studied by neutron total scattering Shoemaker, Daniel P.; Seshadri, Ram; Hector, Andrew L. Physical Review B, Vol. 81, Issue 14 https://doi.org/10.1103/PhysRevB.81.144113	journal	April 2010
Liquidlike correlations in single-crystalline Y $_{2}$ Mo $_{2}$ O $_{7}$ : An unconventional spin glass Silverstein, H. J.; Fritsch, K.; Flicker, F. Physical Review B, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevB.89.054433	journal	February 2014
The relative influences of disorder and of frustration on the glassy dynamics in magnetic systems Ladieu, F.; Bert, F.; Dupuis, V. Journal of Physics: Condensed Matter, Vol. 16, Issue 11 https://doi.org/10.1088/0953-8984/16/11/023	journal	March 2004
Glassy Statics and Dynamics in the Chemically Ordered Pyrochlore Antiferromagnet $Y_{2} {Mo}_{2} O_{7}$ Gardner, J. S.; Gaulin, B. D.; Lee, S. -H. Physical Review Letters, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevLett.83.211	journal	July 1999
Frustrated ferroelectricity in niobate pyrochlores McQueen, T. M.; West, D. V.; Muegge, B. Journal of Physics: Condensed Matter, Vol. 20, Issue 23 https://doi.org/10.1088/0953-8984/20/23/235210	journal	April 2008
PDFfit2 and PDFgui: computer programs for studying nanostructure in crystals Farrow, C. L.; Juhas, P.; Liu, J. W. Journal of Physics: Condensed Matter, Vol. 19, Issue 33 https://doi.org/10.1088/0953-8984/19/33/335219	journal	July 2007
Neutron spin echo studies of the glass-like pyrochlore Y2Mo2O7 Gardner, J. S.; Ehlers, G.; Heffner, R. H. Journal of Magnetism and Magnetic Materials, Vol. 226-230 https://doi.org/10.1016/S0304-8853(00)00770-8	journal	May 2001
Spin-orbital frustration in molybdenum pyrochlores $A_{2}$ Mo $_{2}$ O $_{7}$ ( $A =$ rare earth) Shinaoka, Hiroshi; Motome, Yukitoshi; Miyake, Takashi Physical Review B, Vol. 88, Issue 17 https://doi.org/10.1103/PhysRevB.88.174422	journal	November 2013
Dynamics of the Relaxation-Time Spectrum in a CuMn Spin-Glass Lundgren, L.; Svedlindh, P.; Nordblad, P. Physical Review Letters, Vol. 51, Issue 10 https://doi.org/10.1103/PhysRevLett.51.911	journal	September 1983
Spin-glass-like behavior in Y2Mo2O7, a concentrated, crystalline system with negligible apparent disorder Greedan, J. E.; Sato, M.; Yan, Xu Solid State Communications, Vol. 59, Issue 12 https://doi.org/10.1016/0038-1098(86)90652-6	journal	September 1986
Spin glasses: Experimental facts, theoretical concepts, and open questions Binder, K.; Young, A. P. Reviews of Modern Physics, Vol. 58, Issue 4 https://doi.org/10.1103/RevModPhys.58.801	journal	October 1986
Low temperature spin dynamics of geometrically frustrated antiferromagnets Y2Mo2O7 and Y2Mo1.6Ti0.4O7 studied by muon spin relaxation Dunsiger, S. R.; Kiefl, R. F.; Chow, K. H. Journal of Applied Physics, Vol. 79, Issue 8 https://doi.org/10.1063/1.361908	journal	January 1996
Spin-glass order induced by dynamic frustration Goremychkin, E. A.; Osborn, R.; Rainford, B. D. Nature Physics, Vol. 4, Issue 10 https://doi.org/10.1038/nphys1028	journal	July 2008
Spin Ice State in Frustrated Magnetic Pyrochlore Materials Bramwell, S. T. Science, Vol. 294, Issue 5546 https://doi.org/10.1126/science.1064761	journal	November 2001
Specific heats of the pyrochlore compounds Y ₂ Mo ₂ O ₇ and Y ₂ Ru ₂ O ₇ Blacklock, K.; White, H. W.; Gürmen, E. The Journal of Chemical Physics, Vol. 73, Issue 4 https://doi.org/10.1063/1.440285	journal	August 1980
Extracting the pair distribution function from white-beam X-ray total scattering data Soper, Alan K.; Barney, Emma R. Journal of Applied Crystallography, Vol. 44, Issue 4 https://doi.org/10.1107/S0021889811021455	journal	June 2011
Spin Glass Behavior of Isolated, Geometrically Frustrated Tetrahedra of Iron Atoms in the Intermetallic La ₂₁ Fe ₈ Sn ₇ C ₁₂ Benbow, Evan M.; Dalal, Naresh S.; Latturner, Susan E. Journal of the American Chemical Society, Vol. 131, Issue 9 https://doi.org/10.1021/ja809084n	journal	March 2009
Magnetic properties and magnetic ordering in the Rare Earth Molybdenum(IV) Pyrochlores: R2Mo2O7 Sato, Mineo; Yan, Xu; Greedan, J. E. Zeitschrift f�r anorganische und allgemeine Chemie, Vol. 540, Issue 9-10 https://doi.org/10.1002/zaac.19865400919	journal	September 1986
Spin glasses: redux: an updated experimental/materials survey Mydosh, J. A. Reports on Progress in Physics, Vol. 78, Issue 5 https://doi.org/10.1088/0034-4885/78/5/052501	journal	April 2015
Magnetization and thermoremanent magnetization of Tb2Mo2O7 and Y2Mo2O7 spin glasses Ali, Naushad; Hill, P.; Zhang, X. Journal of Alloys and Compounds, Vol. 181, Issue 1-2 https://doi.org/10.1016/0925-8388(92)90323-2	journal	April 1992
Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet $Y_{2} {Mo}_{2} O_{7}$ Gingras, M. J. P.; Stager, C. V.; Raju, N. P. Physical Review Letters, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevLett.78.947	journal	February 1997
Proton ordering in cubic ice and hexagonal ice; a potential new ice phase—XIc Raza, Zamaan; Alfè, Dario; Salzmann, Christoph G. Physical Chemistry Chemical Physics, Vol. 13, Issue 44 https://doi.org/10.1039/c1cp22506e	journal	January 2011
Spin correlations in the geometrically frustrated pyrochlore ${Tb}_{2} {Mo}_{2} O_{7}$ Singh, D. K.; Helton, J. S.; Chu, S. Physical Review B, Vol. 78, Issue 22 https://doi.org/10.1103/PhysRevB.78.220405	journal	December 2008
The oxygen positional parameter in pyrochlores and its dependence on disorder Minervini, Licia; Grimes, Robin W.; Tabira, Yasunori Philosophical Magazine A, Vol. 82, Issue 1 https://doi.org/10.1080/01418610110066041	journal	January 2002
Anisotropic Spin-Glass Behavior in ${Fe}_{2}$ Ti $O_{5}$ . Atzmony, U.; Gurewitz, E.; Melamud, M. Physical Review Letters, Vol. 43, Issue 16 https://doi.org/10.1103/physrevlett.43.1200.2	journal	October 1979
Frustration Driven Lattice Distortion: An NMR Investigation of Y2Mo2O7 Gardner, Jason S.; Keren, Amit The American Physical Society https://doi.org/10.17877/de290r-12353	text	January 2001
Charge-ice dynamics in the negative thermal expansion material Cd(CN)$_2$ Fairbank, Vanessa E.; Thompson, Amber L.; Cooper, Richard I. arXiv https://doi.org/10.48550/arxiv.1206.0437	text	January 2012
From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores Clark, L.; Nilsen, G. J.; Kermarrec, E. arXiv https://doi.org/10.48550/arxiv.1405.3172	text	January 2014
On the origin of heavy quasiparticles in LiV_2O_4 Fulde, P.; Yaresko, A. N.; Zvyagin, A. A. arXiv https://doi.org/10.48550/arxiv.cond-mat/0101455	text	January 2001
Frustration driven lattice distortion; an NMR investigation of Y2Mo2O7 Keren, Amit; Gardner, Jason S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0109238	text	January 2001
Aging and memory properties of topologically frustrated magnets Dupuis, V.; Vincent, E.; Hammann, J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0109242	text	January 2001

Cited By (8)

Universal geometric frustration in pyrochlores Trump, B. A.; Koohpayeh, S. M.; Livi, K. J. T. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05033-7	journal	July 2018
Local orbital degeneracy lifting as a precursor to an orbital-selective Peierls transition Bozin, E. S.; Yin, W. G.; Koch, R. J. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-11372-w	journal	August 2019
First-principles studies of spin-orbital physics in pyrochlore oxides Shinaoka, Hiroshi; Motome, Yukitoshi; Miyake, Takashi Journal of Physics: Condensed Matter, Vol. 31, Issue 32 https://doi.org/10.1088/1361-648x/ab162f	journal	May 2019
Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet Müller, Patrick; Lohmann, Andre; Richter, Johannes Physical Review B, Vol. 100, Issue 2 https://doi.org/10.1103/physrevb.100.024424	journal	July 2019
Orbital molecules in vanadium oxide spinels Browne, Alexander J.; Attfield, J. Paul Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.024112	journal	January 2020
Spin-Orbital Glass Transition in a Model of a Frustrated Pyrochlore Magnet without Quenched Disorder Mitsumoto, Kota; Hotta, Chisa; Yoshino, Hajime Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/physrevlett.124.087201	journal	February 2020
Persistent three- and four-atom orbital molecules in the spinel $Al V_{2} O_{4}$ Browne, Alexander J.; Kimber, Simon A. J.; Attfield, J. Paul Physical Review Materials, Vol. 1, Issue 5 https://doi.org/10.1103/physrevmaterials.1.052003	journal	October 2017
First-principles studies of spin-orbital physics in pyrochlore oxides Shinaoka, Hiroshi; Motome, Yukitoshi; Miyake, Takashi arXiv https://doi.org/10.48550/arxiv.1810.09596	text	January 2018

Similar Records

Spin order and dynamics in the diamond-lattice Heisenberg antiferromagnets

{CuRh}_{2} O_{4}

and

{CoRh}_{2} O_{4}

Journal Article · Wed Aug 09 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1390903

Ge, L.; Flynn, J.; Paddison, Joseph A. M.; +5 more

Frustrated spin-

\frac{1}{2}

molecular magnetism in the mixed-valence antiferromagnets

{Ba}_{3} M {Ru}_{2} O_{9} (M = In

, Y, Lu)

Journal Article · Mon May 22 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1390903

Ziat, D.; Aczel, Adam A.; Sinclair, R.; +6 more

Structural and electronic properties of the first iridium containing mixed B-site spinel oxide:

Cu [{Ir}_{1.5} {Cu}_{0.5}] O_{4}

Journal Article · Mon Sep 27 00:00:00 EDT 2021 · Physical Review Materials · OSTI ID:1390903

Wallace, M. K.; Li, Jun; Labarre, P. G.; +8 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Orbital Dimer Model for the Spin-Glass State in Y 2 Mo 2 O 7

Citation Formats

References (69)

Cited By (8)

Similar Records

Related Subjects

Title: Orbital Dimer Model for the Spin-Glass State in $Y_{2} {Mo}_{2} O_{7}$