Magnetic ground states and magnetodielectric effect in $R\mathrm{Cr}{\left({\mathrm{BO}}_{3}\right)}_{2}$ ( $R=\mathrm{Y}$ and Ho)
Abstract
Here, the layered perovskites RCr(BO_{3})_{2} (R = Y and Ho) with magnetic triangular lattices were studied by performing ac/dc susceptibility, specific heat, elastic and inelastic neutron scattering, and dielectric constant measurements. The results show (i) both samples' Cr^{3+} spins order in a canted antiferromagnetic structure with T_{N} around 8–9 K, while the Ho^{3+} ions do not order down to T=1.5 K in HoCr(BO_{3})_{2}; (ii) when a critical magnetic field HC around 23 T is applied below T_{N}, the Cr^{3+} spins in the Y compound and both the Cr^{3+} and Ho^{3+} spins in the Ho compound order in a ferromagnetic state; (iii) both samples exhibit dielectric constant anomalies around the transition temperature and critical field, but the Ho compound displays a much stronger magnetodielectric response. We speculate that this is due to the magnetostriction, which depends on both the Cr^{3+} and the Ho^{3+} ions' ordering in the Ho compound. Moreover, by using linear spinwave theory to simulate the inelastic neutron scattering data, we estimated the Y compound's intralayer and interlayer exchange strengths as ferromagnetic J_{1} = –0.12 meV and antiferromagnetic J_{2} = 0.014 meV, respectively. The competition between different kinds of superexchange interactions results in the ferromagnetic intralayer interaction.
 Authors:

 Univ. of Tennessee, Knoxville, TN (United States)
 Univ. of Tennessee, Knoxville, TN (United States); Florida State Univ., Tallahassee, FL (United States)
 Florida State Univ., Tallahassee, FL (United States)
 Anhui Univ., Anhui (People's Republic of China)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1486972
 Alternate Identifier(s):
 OSTI ID: 1355953
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 17; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Sinclair, R., Zhou, H. D., Lee, Minseong, Choi, E. Sang, Li, G., Hong, Tao, and Calder, Stuart A. Magnetic ground states and magnetodielectric effect in RCr(BO3)2 (R=Y and Ho). United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.174410.
Sinclair, R., Zhou, H. D., Lee, Minseong, Choi, E. Sang, Li, G., Hong, Tao, & Calder, Stuart A. Magnetic ground states and magnetodielectric effect in RCr(BO3)2 (R=Y and Ho). United States. https://doi.org/10.1103/PhysRevB.95.174410
Sinclair, R., Zhou, H. D., Lee, Minseong, Choi, E. Sang, Li, G., Hong, Tao, and Calder, Stuart A. Mon .
"Magnetic ground states and magnetodielectric effect in RCr(BO3)2 (R=Y and Ho)". United States. https://doi.org/10.1103/PhysRevB.95.174410. https://www.osti.gov/servlets/purl/1486972.
@article{osti_1486972,
title = {Magnetic ground states and magnetodielectric effect in RCr(BO3)2 (R=Y and Ho)},
author = {Sinclair, R. and Zhou, H. D. and Lee, Minseong and Choi, E. Sang and Li, G. and Hong, Tao and Calder, Stuart A.},
abstractNote = {Here, the layered perovskites RCr(BO3)2 (R = Y and Ho) with magnetic triangular lattices were studied by performing ac/dc susceptibility, specific heat, elastic and inelastic neutron scattering, and dielectric constant measurements. The results show (i) both samples' Cr3+ spins order in a canted antiferromagnetic structure with TN around 8–9 K, while the Ho3+ ions do not order down to T=1.5 K in HoCr(BO3)2; (ii) when a critical magnetic field HC around 23 T is applied below TN, the Cr3+ spins in the Y compound and both the Cr3+ and Ho3+ spins in the Ho compound order in a ferromagnetic state; (iii) both samples exhibit dielectric constant anomalies around the transition temperature and critical field, but the Ho compound displays a much stronger magnetodielectric response. We speculate that this is due to the magnetostriction, which depends on both the Cr3+ and the Ho3+ ions' ordering in the Ho compound. Moreover, by using linear spinwave theory to simulate the inelastic neutron scattering data, we estimated the Y compound's intralayer and interlayer exchange strengths as ferromagnetic J1 = –0.12 meV and antiferromagnetic J2 = 0.014 meV, respectively. The competition between different kinds of superexchange interactions results in the ferromagnetic intralayer interaction.},
doi = {10.1103/PhysRevB.95.174410},
journal = {Physical Review B},
number = 17,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}
Figures / Tables:
Works referenced in this record:
Spinliquid versus spiralorder phases in the anisotropic triangular lattice
journal, January 2013
 Tocchio, Luca F.; Feldner, Hélène; Becca, Federico
 Physical Review B, Vol. 87, Issue 3
Charge Frustration and Dielectric Dispersion in LuFe _{2} O _{4}
journal, May 2000
 Ikeda, Naoshi; Kohn, Kay; Myouga, Nobuyuki
 Journal of the Physical Society of Japan, Vol. 69, Issue 5
Structural and magnetoelectric interactions of (Ca, Mg)doped polycrystalline multiferroic CuFeO2
journal, May 2014
 Elkhouni, T.; Amami, M.; Colin, C. V.
 Materials Research Bulletin, Vol. 53
Magnetic structure of the conductive triangularlattice antiferromagnet PdCrO ${}_{2}$
journal, March 2014
 Takatsu, Hiroshi; Nénert, Gwilherm; Kadowaki, Hiroaki
 Physical Review B, Vol. 89, Issue 10
Gapless quantum spin liquid ground state in the spin1 antiferromagnet 6HB ${\mathrm{Ba}}_{3}{\mathrm{NiSb}}_{2}{\mathrm{O}}_{9}$
journal, June 2016
 Quilliam, J. A.; Bert, F.; Manseau, A.
 Physical Review B, Vol. 93, Issue 21
SymmetryBased Computational Tools for Magnetic Crystallography
journal, July 2015
 PerezMato, J. M.; Gallego, S. V.; Tasci, E. S.
 Annual Review of Materials Research, Vol. 45, Issue 1
MagneticFieldInduced Ferroelectric State in ${\mathrm{DyFeO}}_{3}$
journal, August 2008
 Tokunaga, Y.; Iguchi, S.; Arima, T.
 Physical Review Letters, Vol. 101, Issue 9
Landau model for the multiferroic delafossite antiferromagnets
journal, October 2016
 Ribeiro, J. L.; PerezMato, J. M.; Vieira, L. G.
 Journal of Magnetism and Magnetic Materials, Vol. 416
Recent advances in magnetic structure determination by neutron powder diffraction
journal, October 1993
 RodríguezCarvajal, Juan
 Physica B: Condensed Matter, Vol. 192, Issue 12
Quantum spin liquid states
journal, April 2017
 Zhou, Yi; Kanoda, Kazushi; Ng, TaiKai
 Reviews of Modern Physics, Vol. 89, Issue 2
Antiferromagnetic order in the pyrochlores ${R}_{2}{\mathrm{Ge}}_{2}{\mathrm{O}}_{7}(R=\mathrm{Er},\mathrm{Yb})$
journal, October 2015
 Dun, Z. L.; Li, X.; Freitas, R. S.
 Physical Review B, Vol. 92, Issue 14
Large offdiagonal magnetoelectric coupling in the quantum paraelectric antiferromagnet ${\text{EuTiO}}_{3}$
journal, February 2010
 Shvartsman, V. V.; Borisov, P.; Kleemann, W.
 Physical Review B, Vol. 81, Issue 6
Spin liquid state in the disordered triangular lattice ${\mathrm{Sc}}_{2}{\mathrm{Ga}}_{2}{\mathrm{CuO}}_{7}$ revealed by NMR
journal, April 2016
 Khuntia, P.; Kumar, R.; Mahajan, A. V.
 Physical Review B, Vol. 93, Issue 14
Magnetic phases of the quasitwodimensional antiferromagnet ${\mathrm{CuCrO}}_{2}$ on a triangular lattice
journal, September 2016
 Sakhratov, Yu. A.; Svistov, L. E.; Kuhns, P. L.
 Physical Review B, Vol. 94, Issue 9
Successive Magnetic Phase Transitions and Multiferroicity in the SpinOne TriangularLattice Antiferromagnet ${\mathrm{Ba}}_{3}{\mathrm{NiNb}}_{2}{\mathbf{O}}_{9}$
journal, December 2012
 Hwang, J.; Choi, E. S.; Ye, F.
 Physical Review Letters, Vol. 109, Issue 25
Coupling between magnetism and dielectric properties in quantum paraelectric ${\mathrm{EuTiO}}_{3}$
journal, July 2001
 Katsufuji, T.; Takagi, H.
 Physical Review B, Vol. 64, Issue 5
Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
journal, December 2011
 Honecker, A.; Cabra, D. C.; Everts, H. U.
 Physical Review B, Vol. 84, Issue 22
Crystal structures and magnetic properties of lanthanide containing borates LnM(BO3)2 (Ln=Y, Ho–Lu; M=Sc, Cr)
journal, October 2013
 Doi, Yoshihiro; Satou, Tatsuya; Hinatsu, Yukio
 Journal of Solid State Chemistry, Vol. 206
Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa ${}_{2}$ S ${}_{4}$ and NiGa ${}_{2}$ S ${}_{4}$
journal, August 2012
 Zhao, Songrui; Dalmas de Réotier, P.; Yaouanc, A.
 Physical Review B, Vol. 86, Issue 6
Review / Synthèse : Triangular antiferromagnets
journal, September 1997
 Collins, M. F.; Petrenko, O. A.
 Canadian Journal of Physics, Vol. 75, Issue 9
Experimental Realization of a Spin $1/2$ TriangularLattice Heisenberg Antiferromagnet
journal, January 2012
 Shirata, Yutaka; Tanaka, Hidekazu; Matsuo, Akira
 Physical Review Letters, Vol. 108, Issue 5
Superexchange interaction and symmetry properties of electron orbitals
journal, July 1959
 Kanamori, Junjiro
 Journal of Physics and Chemistry of Solids, Vol. 10, Issue 23
Successive Phase Transitions and Extended SpinExcitation Continuum in the $S\mathbf{=}\frac{1}{2}$ TriangularLattice Antiferromagnet ${\mathrm{Ba}}_{3}{\mathrm{CoSb}}_{2}{\mathbf{O}}_{9}$
journal, December 2012
 Zhou, H. D.; Xu, Cenke; Hallas, A. M.
 Physical Review Letters, Vol. 109, Issue 26
Magnetization Process of the Triangular Lattice Antiferromagnets, R b F e ( M o O _{4} ) _{2} and C s F e ( S O _{4} ) _{2}
journal, August 1996
 Inami, Toshiya; Ajiro, Yoshitami; Goto, Tsuneaki
 Journal of the Physical Society of Japan, Vol. 65, Issue 8
$A$ Ag ${}_{2}M$ [VO ${}_{4}{]}_{2}$ ( $A=\mathrm{Ba},\phantom{\rule{0.16em}{0ex}}\mathrm{Sr}$ ; $M\phantom{\rule{0.16em}{0ex}}=\phantom{\rule{0.16em}{0ex}}\mathrm{Co},\phantom{\rule{0.16em}{0ex}}\mathrm{Ni}$ ): A series of ferromagnetic insulators
journal, June 2012
 Möller, Angela; Amuneke, Ngozi E.; Daniel, Phillip
 Physical Review B, Vol. 85, Issue 21
Series of phase transitions and multiferroicity in the quasitwodimensional spin $\frac{1}{2}$ triangularlattice antiferromagnet ${\mathrm{Ba}}_{3}{\mathrm{CoNb}}_{2}{\mathrm{O}}_{9}$
journal, March 2014
 Lee, M.; Hwang, J.; Choi, E. S.
 Physical Review B, Vol. 89, Issue 10
Magnetoelectric compounds with two sets of magnetic sublattices: UCrO4 and NdCrTiO5
journal, August 1974
 Greenblatt, M.; Hornreich, R. M.; Sharon, B.
 Journal of Solid State Chemistry, Vol. 10, Issue 4
Magnetic transitions and magnetodielectric effect in antiferromagnet SrNdFeO ${}_{4}$
journal, June 2012
 Hwang, J.; Choi, E. S.; Zhou, H. D.
 Physical Review B, Vol. 85, Issue 22
Linear spin wave theory for singleQ incommensurate magnetic structures
journal, March 2015
 Toth, S.; Lake, B.
 Journal of Physics: Condensed Matter, Vol. 27, Issue 16
Magnetodielectric effects at magnetic ordering transitions
journal, January 2009
 Lawes, G.; Kimura, T.; Varma, C. M.
 Progress in Solid State Chemistry, Vol. 37, Issue 1
Spinreorientation transition in SrNdFeO _{4}
journal, March 2004
 Oyama, Shigeaki; Wakeshima, Makoto; Hinatsu, Yukio
 Journal of Physics: Condensed Matter, Vol. 16, Issue 10
Magnetoelectric control of spinchiral ferroelectric domains in a triangular lattice antiferromagnet
journal, October 2008
 Kimura, Kenta; Nakamura, Hiroyuki; Ohgushi, Kenya
 Physical Review B, Vol. 78, Issue 14
Magnetic Order Through SuperSuperexchanges in the Polar Magnetoelectric Organic–Inorganic Hybrid Cr[(D _{3} N(CH _{2} ) _{2} PO _{3} )(Cl)(D _{2} O)]
journal, December 2012
 Nénert, Gwilherm; Koo, HyunJoo; Colin, Claire V.
 Inorganic Chemistry, Vol. 52, Issue 2
Shortrange magnetic ordering process for the triangularlattice compound $\mathrm{Ni}{\mathrm{Ga}}_{2}{\mathrm{S}}_{4}$ : A positive muon spin rotation and relaxation study
journal, March 2008
 Yaouanc, A.; Dalmas de Réotier, P.; Chapuis, Y.
 Physical Review B, Vol. 77, Issue 9
Magnetodielectric coupling in ${\mathrm{Mn}}_{3}{\mathrm{O}}_{4}$
journal, July 2007
 Tackett, R.; Lawes, G.; Melot, B. C.
 Physical Review B, Vol. 76, Issue 2
Ferroelectricity from iron valence ordering in the chargefrustrated system LuFe2O4
journal, August 2005
 Ikeda, Naoshi; Ohsumi, Hiroyuki; Ohwada, Kenji
 Nature, Vol. 436, Issue 7054
Static and Dynamical Properties of the Spin $1/2$ Equilateral TriangularLattice Antiferromagnet ${\mathrm{Ba}}_{3}{\mathrm{CoSb}}_{2}{\mathrm{O}}_{9}$
journal, February 2016
 Ma, J.; Kamiya, Y.; Hong, Tao
 Physical Review Letters, Vol. 116, Issue 8
Quantum Paramagnet in a $\pi $ Flux Triangular Lattice Hubbard Model
journal, April 2015
 Rachel, Stephan; Laubach, Manuel; Reuther, Johannes
 Physical Review Letters, Vol. 114, Issue 16
NeutronScattering Measurement of Incommensurate ShortRange Order in Single Crystals of the $S=1$ Triangular Antiferromagnet ${\mathrm{NiGa}}_{2}{\mathbf{S}}_{4}$
journal, July 2010
 Stock, C.; Jonas, S.; Broholm, C.
 Physical Review Letters, Vol. 105, Issue 3
Spin Disorder on a Triangular Lattice
journal, September 2005
 Nakatsuji, S.
 Science, Vol. 309, Issue 5741
Triangular lattice antiferromagnet RbFe(MoO4)2 in an applied magnetic field
journal, March 2003
 Prozorova, L. A.; Svistov, L. E.; Smirnov, A. I.
 Journal of Magnetism and Magnetic Materials, Vol. 258259
Magnetic phase diagram of the $S=\frac{1}{2}$ triangularlattice Heisenberg antiferromagnet ${\mathrm{Ba}}_{3}\mathrm{Co}{\mathrm{Nb}}_{2}{\mathrm{O}}_{9}$
journal, July 2014
 Yokota, Kazuya; Kurita, Nobuyuki; Tanaka, Hidekazu
 Physical Review B, Vol. 90, Issue 1
Frustrated electrons on a spatially anisotropic triangular lattice: Emergent competition of charge orders and exotic disorders due to thermal fluctuations
journal, December 2014
 Yoshida, Tempei; Hotta, Chisa
 Physical Review B, Vol. 90, Issue 24
Continuous excitations of the triangularlattice quantum spin liquid YbMgGaO4
journal, December 2016
 Paddison, Joseph A. M.; Daum, Marcus; Dun, Zhiling
 Nature Physics, Vol. 13, Issue 2
Bilbao Crystallographic Server. II. Representations of crystallographic point groups and space groups
journal, March 2006
 Aroyo, Mois I.; Kirov, Asen; Capillas, Cesar
 Acta Crystallographica Section A Foundations of Crystallography, Vol. 62, Issue 2
Magnetization plateau in the frustrated quantum spin system ${\mathrm{Cs}}_{2}{\mathrm{CuBr}}_{4}$
journal, March 2003
 Ono, T.; Tanaka, H.; Aruga Katori, H.
 Physical Review B, Vol. 67, Issue 10
HighPressure Sequence of ${\mathrm{Ba}}_{3}{\mathrm{NiSb}}_{2}{\mathrm{O}}_{9}$ Structural Phases: New $S=1$ Quantum Spin Liquids Based on ${\mathrm{Ni}}^{2+}$
journal, November 2011
 Cheng, J. G.; Li, G.; Balicas, L.
 Physical Review Letters, Vol. 107, Issue 19
Quantum disorder in the spatially completely anisotropic triangular lattice
journal, January 2013
 Hauke, Philipp
 Physical Review B, Vol. 87, Issue 1
A new protocol for the determination of magnetic structures using simulated annealing and representational analysis (SARAh)
journal, March 2000
 Wills, A. S.
 Physica B: Condensed Matter, Vol. 276278
Quantum spin liquid in the spin $1\u22152$ triangular antiferromagnet $\mathrm{Et}{\mathrm{Me}}_{3}\mathrm{Sb}{\left[\mathrm{Pd}{\left(\text{dmit}\right)}_{2}\right]}_{2}$
journal, March 2008
 Itou, T.; Oyamada, A.; Maegawa, S.
 Physical Review B, Vol. 77, Issue 10
Resonating valence bonds: A new kind of insulator?
journal, February 1973
 Anderson, P. W.
 Materials Research Bulletin, Vol. 8, Issue 2
Direct Transition from a Disordered to a Multiferroic Phase on a Triangular Lattice
journal, June 2007
 Kenzelmann, M.; Lawes, G.; Harris, A. B.
 Physical Review Letters, Vol. 98, Issue 26
Magnetism and multiferroicity of an isosceles triangular lattice antiferromagnet Sr _{3} NiNb _{2} O _{9}
journal, September 2016
 Lee, M.; Choi, E. S.; Ma, J.
 Journal of Physics: Condensed Matter, Vol. 28, Issue 47
Magnetic phase diagram, critical behavior, and twodimensional to threedimensional crossover in the triangular lattice antiferromagnet $\mathrm{Rb}\mathrm{Fe}{\left(\mathrm{Mo}{\mathrm{O}}_{4}\right)}_{2}$
journal, July 2006
 Svistov, L. E.; Smirnov, A. I.; Prozorova, L. A.
 Physical Review B, Vol. 74, Issue 2
Signatures of indirect $K$ edge resonant inelastic xray scattering on magnetic excitations in a triangularlattice antiferromagnet
journal, July 2015
 Luo, Cheng; Datta, Trinanjan; Huang, Zengye
 Physical Review B, Vol. 92, Issue 3
Multiferroics: a magnetic twist for ferroelectricity
journal, January 2007
 Cheong, SangWook; Mostovoy, Maxim
 Nature Materials, Vol. 6, Issue 1
Muon Spin Relaxation Evidence for the U(1) Quantum SpinLiquid Ground State in the Triangular Antiferromagnet ${\mathrm{YbMgGaO}}_{4}$
journal, August 2016
 Li, Yuesheng; Adroja, Devashibhai; Biswas, Pabitra K.
 Physical Review Letters, Vol. 117, Issue 9
Magnetic phase diagram and multiferroicity of ${\mathrm{Ba}}_{3}{\mathrm{MnNb}}_{2}{\mathrm{O}}_{9}$ : A spin $\frac{5}{2}$ triangular lattice antiferromagnet with weak easyaxis anisotropy
journal, December 2014
 Lee, M.; Choi, E. S.; Huang, X.
 Physical Review B, Vol. 90, Issue 22
SpinDriven Ferroelectricity in Triangular Lattice Antiferromagnets $A{\mathrm{CrO}}_{2}$ ( $A=\mathrm{Cu}$ , Ag, Li, or Na)
journal, August 2008
 Seki, S.; Onose, Y.; Tokura, Y.
 Physical Review Letters, Vol. 101, Issue 6
Evidence for multiferroic characteristics in NdCrTiO 5
journal, June 2014
 Saha, J.; Sharma, G.; Patnaik, S.
 Journal of Magnetism and Magnetic Materials, Vol. 360
Magnetoelectric effect in NdCrTiO ${}_{5}$
journal, January 2012
 Hwang, J.; Choi, E. S.; Zhou, H. D.
 Physical Review B, Vol. 85, Issue 2
Strongly Geometrically Frustrated Magnets
journal, August 1994
 Ramirez, A. P.
 Annual Review of Materials Science, Vol. 24, Issue 1
Multiferroics: Different ways to combine magnetism and ferroelectricity
journal, November 2006
 Khomskii, D. I.
 Journal of Magnetism and Magnetic Materials, Vol. 306, Issue 1
Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice
journal, September 2003
 Shimizu, Y.; Miyagawa, K.; Kanoda, K.
 Physical Review Letters, Vol. 91, Issue 10
Multiferroic and magnetoelectric materials
journal, August 2006
 Eerenstein, W.; Mathur, N. D.; Scott, J. F.
 Nature, Vol. 442, Issue 7104
Magnetodielectric coupling of a polar organicinorganic hybrid Cr(II) phosphonate
journal, August 2008
 Nénert, G.; Adem, U.; Bauer, E. M.
 Physical Review B, Vol. 78, Issue 5
Works referencing / citing this record:
Highthroughput prediction of the groundstate collinear magnetic order of inorganic materials using Density Functional Theory
journal, June 2019
 Horton, Matthew Kristofer; Montoya, Joseph Harold; Liu, Miao
 npj Computational Materials, Vol. 5, Issue 1
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