Frustrated magnetic interactions in an $S=3/2$ bilayer honeycomb lattice compound ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}$ ( ${\mathrm{NO}}_{3}$)
Abstract
An inelastic neutron scattering study has been performed in an $S=3/2$ bilayer honeycomb lattice compound ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}$ ( ${\mathrm{NO}}_{3}$) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at ambient field, where no longrange magnetic order exists. In the magneticfieldinduced longrange ordered state at 10 T, the magnetic dispersions become slightly more intense, albeit still broad as in the disordered state, and two excitation gaps, probably originating from an easyplane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spinwave theory, we estimated the intraplane and intrabilayer magnetic interactions, which are almost consistent with those determined by ab initio density functional theory calculations, except the third and fourth neighbor intrabilayer interactions. Most importantly, as predicted by the theory, there is no significant frustration in the honeycomb plane but frustrating intrabilayer interactions probably give rise to the disordered ground state.
 Authors:

 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Duke Univ., Durham, NC (United States)
 National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
 Univ. of Yamanashi, Kofu (Japan)
 Tokyo Inst. of Technology, Yokohama (Japan)
 Publication Date:
 Research Org.:
 Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1571846
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 13; 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
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., and Azuma, Masaki. Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3). United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.134430.
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., & Azuma, Masaki. Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3). United States. https://doi.org/10.1103/PhysRevB.100.134430
Matsuda, Masaaki, Dissanayake, Sachith E., Abernathy, Douglas L., Qiu, Y., Copley, J. R. D., Kumada, N., and Azuma, Masaki. Tue .
"Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3)". United States. https://doi.org/10.1103/PhysRevB.100.134430. https://www.osti.gov/servlets/purl/1571846.
@article{osti_1571846,
title = {Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3)},
author = {Matsuda, Masaaki and Dissanayake, Sachith E. and Abernathy, Douglas L. and Qiu, Y. and Copley, J. R. D. and Kumada, N. and Azuma, Masaki},
abstractNote = {An inelastic neutron scattering study has been performed in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at ambient field, where no longrange magnetic order exists. In the magneticfieldinduced longrange ordered state at 10 T, the magnetic dispersions become slightly more intense, albeit still broad as in the disordered state, and two excitation gaps, probably originating from an easyplane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spinwave theory, we estimated the intraplane and intrabilayer magnetic interactions, which are almost consistent with those determined by ab initio density functional theory calculations, except the third and fourth neighbor intrabilayer interactions. Most importantly, as predicted by the theory, there is no significant frustration in the honeycomb plane but frustrating intrabilayer interactions probably give rise to the disordered ground state.},
doi = {10.1103/PhysRevB.100.134430},
journal = {Physical Review B},
number = 13,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Nature of the Spin Liquid State of the Hubbard Model on a Honeycomb Lattice
journal, August 2011
 Clark, B. K.; Abanin, D. A.; Sondhi, S. L.
 Physical Review Letters, Vol. 107, Issue 8
The Disk Chopper Spectrometer at NIST: a new instrument for quasielastic neutron scattering studies
journal, August 2003
 Copley, J. R. D.; Cook, J. C.
 Chemical Physics, Vol. 292, Issue 23
Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valencebond crystal formation
journal, July 2011
 Albuquerque, A. F.; Schwandt, D.; Hetényi, B.
 Physical Review B, Vol. 84, Issue 2
Anyons in an exactly solved model and beyond
journal, January 2006
 Kitaev, Alexei
 Annals of Physics, Vol. 321, Issue 1
DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
journal, November 2009
 Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming
 Journal of Research of the National Institute of Standards and Technology, Vol. 114, Issue 6
Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
journal, June 2010
 Mulder, A.; Ganesh, R.; Capriotti, L.
 Physical Review B, Vol. 81, Issue 21
Groundstate properties, excitation spectra, and phase transitions in the $S=\frac{1}{2}$ and $S=\frac{3}{2}$ bilayer Heisenberg models on the honeycomb lattice
journal, January 2012
 Oitmaa, J.; Singh, R. R. P.
 Physical Review B, Vol. 85, Issue 1
${\mathbb{Z}}_{2}$ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
journal, July 2011
 Lu, YuanMing; Ran, Ying
 Physical Review B, Vol. 84, Issue 2
Synthesis, Crystal Structure, and Magnetic Properties of Bi _{3} Mn _{4} O _{12} (NO _{3} ) Oxynitrate Comprising S = 3/2 Honeycomb Lattice
journal, June 2009
 Smirnova, Olga; Azuma, Masaki; Kumada, Nobuhiro
 Journal of the American Chemical Society, Vol. 131, Issue 23
Origin of magnetic frustration in ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}\left({\mathrm{NO}}_{3}\right)$
journal, October 2017
 Alaei, Mojtaba; Mosadeq, Hamid; Sarsari, Ismaeil Abdolhosseini
 Physical Review B, Vol. 96, Issue 14
DzyaloshinskyMoriya interaction and fieldinduced magnetic order in an antiferromagnetic honeycomb lattice compound Bi ${}_{3}$ Mn ${}_{4}$ O ${}_{12}$ (NO ${}_{3}$ ) studied by highfield electron spin resonance
journal, October 2012
 Okubo, Susumu; Ueda, Tomonari; Ohta, Hitoshi
 Physical Review B, Vol. 86, Issue 14
Néel to dimer transition in spin $S$ antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
journal, December 2011
 Ganesh, R.; Isakov, Sergei V.; Paramekanti, Arun
 Physical Review B, Vol. 84, Issue 21
Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice
journal, January 2014
 Zhang, Hao; Arlego, M.; Lamas, C. A.
 Physical Review B, Vol. 89, Issue 2
Quantum paramagnetic ground states on the honeycomb lattice and fieldinduced Néel order
journal, April 2011
 Ganesh, R.; Sheng, D. N.; Kim, YoungJune
 Physical Review B, Vol. 83, Issue 14
Calculation of magnetic exchange couplings in the $S=3/2$ honeycomb system (Bi ${}_{3}$ Mn ${}_{4}$ O ${}_{12}$ )NO ${}_{3}$ from first principles
journal, April 2011
 Kandpal, Hem C.; van den Brink, Jeroen
 Physical Review B, Vol. 83, Issue 14
Magnetic ground state of the frustrated honeycomb lattice antiferromagnet Bi ${}_{3}$ Mn ${}_{4}$ O ${}_{12}$ (NO ${}_{3}$ )
journal, May 2012
 Onishi, N.; Oka, K.; Azuma, M.
 Physical Review B, Vol. 85, Issue 18
Complete phase diagram of the spin $\frac{1}{2}$ ${J}_{1}$  ${J}_{2}$  ${J}_{3}$ model (with ${J}_{3}$ = ${J}_{2}$ ) on the honeycomb lattice
journal, April 2012
 Bishop, R. F.; Li, P. H. Y.
 Physical Review B, Vol. 85, Issue 15
Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet
journal, March 2013
 Ganesh, R.; van den Brink, Jeroen; Nishimoto, Satoshi
 Physical Review Letters, Vol. 110, Issue 12
Unexpected $z$ Direction Ising Antiferromagnetic Order in a Frustrated Spin $1/2$ ${J}_{1}{J}_{2}$ $XY$ Model on the Honeycomb Lattice
journal, December 2013
 Zhu, Zhenyue; Huse, David A.; White, Steven R.
 Physical Review Letters, Vol. 111, Issue 25
Weak Plaquette Valence Bond Order in the $S\mathbf{=}1/2$ Honeycomb ${J}_{1}\mathbf{}{J}_{2}$ Heisenberg Model
journal, March 2013
 Zhu, Zhenyue; Huse, David A.; White, Steven R.
 Physical Review Letters, Vol. 110, Issue 12
Design and operation of the wide angularrange chopper spectrometer ARCS at the Spallation Neutron Source
journal, January 2012
 Abernathy, D. L.; Stone, M. B.; Loguillo, M. J.
 Review of Scientific Instruments, Vol. 83, Issue 1
Quantum disordered phase on the frustrated honeycomb lattice
journal, March 2011
 Cabra, D. C.; Lamas, C. A.; Rosales, H. D.
 Physical Review B, Vol. 83, Issue 9
Short and Long Range Magnetic Ordering in βMnO _{2} –A Temperature Study–
journal, December 2004
 Regulski, Marcin; Przeniosło, Radosław; Sosnowska, Izabela
 Journal of the Physical Society of Japan, Vol. 73, Issue 12
Disordered Ground State and Magnetic FieldInduced LongRange Order in an $S=3/2$ Antiferromagnetic Honeycomb Lattice Compound ${\mathrm{Bi}}_{3}{\mathrm{Mn}}_{4}{\mathrm{O}}_{12}({\mathrm{NO}}_{3})$
journal, October 2010
 Matsuda, M.; Azuma, M.; Tokunaga, M.
 Physical Review Letters, Vol. 105, Issue 18
Neutronscattering study of antiferromagnetism in ${\mathrm{YBa}}_{2}$ ${\mathrm{Cu}}_{3}$ ${\mathrm{O}}_{6.15}$
journal, November 1993
 Shamoto, S.; Sato, M.; Tranquada, J. M.
 Physical Review B, Vol. 48, Issue 18
Fieldinduced multiple orderbydisorder state selection in an antiferromagnetic honeycomb bilayer lattice
journal, April 2016
 Gómez Albarracín, F. A.; Rosales, H. D.
 Physical Review B, Vol. 93, Issue 14
Magnetic Structure of β MnO _{ 2 } : Xray Magnetic Scattering Study
journal, January 2001
 Sato, Hirohiko; Wakiya, Koji; Enoki, Toshiaki
 Journal of the Physical Society of Japan, Vol. 70, Issue 1
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
Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
journal, June 2016
 Zhang, Hao; Lamas, Carlos A.; Arlego, Marcelo
 Physical Review B, Vol. 93, Issue 23
Spingap phase of a quantum spin system on a honeycomb lattice
journal, October 2006
 Takano, Ken’ichi
 Physical Review B, Vol. 74, Issue 14
The ground states of the classical heisenberg and planar models on the triangular and plane hexagonal lattices
journal, February 1986
 Katsura, Shigetoshi; Ide, Tsugio; Morita, Tohru
 Journal of Statistical Physics, Vol. 42, Issue 34
Plaquette valence bond ordering in a J _{1} – J _{2} Heisenberg antiferromagnet on a honeycomb lattice
journal, May 2011
 Mosadeq, H.; Shahbazi, F.; Jafari, S. A.
 Journal of Physics: Condensed Matter, Vol. 23, Issue 22
Novel SpinLiquid States in the Frustrated Heisenberg Antiferromagnet on the Honeycomb Lattice
journal, November 2010
 Okumura, Soichiro; Kawamura, Hikaru; Okubo, Tsuyoshi
 Journal of the Physical Society of Japan, Vol. 79, Issue 11
Exotic disordered phases in the quantum ${J}_{1}$  ${J}_{2}$ model on the honeycomb lattice
journal, January 2013
 Zhang, Hao; Lamas, C. A.
 Physical Review B, Vol. 87, Issue 2
Impact of Mn–O–O–Mn superexchange pathways in a honeycomb lattice Mn oxide with small chargetransfer energy
journal, May 2013
 Wadati, H.; Kato, K.; Wakisaka, Y.
 Solid State Communications, Vol. 162
Schwinger boson mean field theories of spin liquid states on a honeycomb lattice: Projective symmetry group analysis and critical field theory
journal, July 2010
 Wang, Fa
 Physical Review B, Vol. 82, Issue 2
Quantum disordered phase on the frustrated honeycomb lattice
text, January 2010
 Cabra, D. C.; Lamas, C. A.; Rosales, H. D.
 arXiv
Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010
 Mulder, A.; Ganesh, R.; Capriotti, L.
 arXiv
Novel spinliquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010
 Okumura, Soichiro; Kawamura, Hikaru; Okubo, Tsuyoshi
 arXiv
Plaquette valencebond ordering in J_1J_2 Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010
 Mosadeq, H.; Shahbazi, F.; Jafari, S. A.
 arXiv
Calculation of magnetic exchange couplings in S=3/2 honeycomb system Bi$_3$Mn$_4$O$_{12}$(NO$_3$)} from first principles
text, January 2011
 Kandpal, Hem C.; Brink, Jeroen van den
 arXiv
Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus ValenceBond Crystal formation
text, January 2011
 Albuquerque, A. F.; Schwandt, D.; Hetényi, B.
 arXiv
Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
text, January 2013
 Ganesh, R.; Brink, Jeroen van den; Nishimoto, Satoshi
 arXiv
Linear spin wave theory for singleQ incommensurate magnetic structures
text, January 2014
 Toth, S.; Lake, B.
 arXiv
Field induced multiple orderbydisorder state selection in antiferromagnetic honeycomb bilayer lattice
text, January 2015
 Albarracín, F. A. Gómez; Rosales, H. D.
 arXiv
Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
text, January 2015
 Zhang, Hao; Lamas, Carlos A.; Arlego, Marcelo
 arXiv
Origin of magnetic frustration in Bi$_3$Mn$_4$O$_{12}$(NO$_3$)
text, January 2017
 Alaei, Mojtaba; Mosadeq, Hamid; Sarsari, Ismail Abdolhossaini
 arXiv
Figures / Tables found in this record: