Frustrated magnetic interactions in an S=3/2 bilayer honeycomb lattice compound Bi3Mn4O12 (NO3)

Matsuda, Masaaki; Dissanayake, Sachith E.; Abernathy, Douglas L.; Qiu, Y.; Copley, J. R. D.; Kumada, N.; Azuma, Masaki

doi:10.1103/PhysRevB.100.134430

Title: Frustrated magnetic interactions in an $S = 3 / 2$ bilayer honeycomb lattice compound ${Bi}_{3} {Mn}_{4} O_{12}$ ( ${NO}_{3}$ )

Abstract

An inelastic neutron scattering study has been performed in an $S = 3 / 2$ bilayer honeycomb lattice compound ${Bi}_{3} {Mn}_{4} O_{12}$ ( ${NO}_{3}$ ) at ambient and high magnetic fields. Relatively broad and monotonically dispersive magnetic excitations were observed at ambient field, where no long-range magnetic order exists. In the magnetic-field-induced long-range 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 easy-plane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spin-wave 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:

^[1];

^[2];

^[1];

^[3]; Copley, J. R. D. ^[3]; Kumada, N. ^[4]; Azuma, Masaki ^[5]

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:: Tue Oct 22 00:00:00 EDT 2019

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1571846

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 100; Journal Issue: 13; Journal ID: ISSN 2469-9950

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.

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                    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

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                    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.

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@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 long-range magnetic order exists. In the magnetic-field-induced long-range 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 easy-plane magnetic anisotropy and intrabilayer interactions, develop. Here, analyzing the magnetic dispersions using the linear spin-wave 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         = {Tue Oct 22 00:00:00 EDT 2019},

  month        = {Tue Oct 22 00:00:00 EDT 2019}

}

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https://doi.org/10.1103/PhysRevB.100.134430

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Figures / Tables:

FIG. 1: Schematic structure of the honeycomb bilayer in Bi₃Mn₄O₁₂(NO₃). The open circles represent the Mn⁴⁺ moments. Magnetic interactions in a honeycomb plane $J$₁ (bold solid line), $J$₂(dashed line), and $J$₃ (long dashed dotted line) (a) and intrabilayer interactions $J$_1c (bold solid line), $J$_2c (dashed line), $J$_3c (long dashed dottedmore »

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Works referenced in this record:

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Title: Frustrated magnetic interactions in an S = 3 / 2 bilayer honeycomb lattice compound Bi 3 Mn 4 O 12 ( NO 3 )

Abstract

Citation Formats

Figures / Tables:

Nature of the Spin Liquid State of the Hubbard Model on a Honeycomb Lattice journal, August 2011

The Disk Chopper Spectrometer at NIST: a new instrument for quasielastic neutron scattering studies journal, August 2003

Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation journal, July 2011

Anyons in an exactly solved model and beyond journal, January 2006

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data journal, November 2009

Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice journal, June 2010

Broken discrete symmetries in a frustrated honeycomb antiferromagnet journal, March 2013

Ground-state properties, excitation spectra, and phase transitions in the S = 1 2 and S = 3 2 bilayer Heisenberg models on the honeycomb lattice journal, January 2012

Z 2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice journal, July 2011

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

Origin of magnetic frustration in Bi 3 Mn 4 O 12 ( NO 3 ) journal, October 2017

Dzyaloshinsky-Moriya interaction and field-induced magnetic order in an antiferromagnetic honeycomb lattice compound Bi 3 Mn 4 O 12 (NO 3 ) studied by high-field electron spin resonance journal, October 2012

Néel to dimer transition in spin- S antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models journal, December 2011

Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice journal, January 2014

Quantum paramagnetic ground states on the honeycomb lattice and field-induced Néel order journal, April 2011

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

Magnetic ground state of the frustrated honeycomb lattice antiferromagnet Bi 3 Mn 4 O 12 (NO 3 ) journal, May 2012

Complete phase diagram of the spin- 1 2 J 1 - J 2 - J 3 model (with J 3 = J 2 ) on the honeycomb lattice journal, April 2012

Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet journal, March 2013

Unexpected z -Direction Ising Antiferromagnetic Order in a Frustrated Spin- 1 / 2 J 1 − J 2 X Y Model on the Honeycomb Lattice journal, December 2013

Weak Plaquette Valence Bond Order in the S = 1 / 2 Honeycomb J 1 − J 2 Heisenberg Model journal, March 2013

Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source journal, January 2012

Quantum disordered phase on the frustrated honeycomb lattice journal, March 2011

Short and Long Range Magnetic Ordering in β-MnO 2 –A Temperature Study– journal, December 2004

Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S = 3 / 2 Antiferromagnetic Honeycomb Lattice Compound Bi 3 Mn 4 O 12 ( NO 3 ) journal, October 2010

Neutron-scattering study of antiferromagnetism in YBa 2 Cu 3 O 6.15 journal, November 1993

Field-induced multiple order-by-disorder state selection in an antiferromagnetic honeycomb bilayer lattice journal, April 2016

Magnetic Structure of β -MnO 2 : X-ray Magnetic Scattering Study journal, January 2001

Linear spin wave theory for single-Q incommensurate magnetic structures journal, March 2015

Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice journal, June 2016

Spin-gap phase of a quantum spin system on a honeycomb lattice journal, October 2006

The ground states of the classical heisenberg and planar models on the triangular and plane hexagonal lattices journal, February 1986

Plaquette valence bond ordering in a J 1 – J 2 Heisenberg antiferromagnet on a honeycomb lattice journal, May 2011

Novel Spin-Liquid States in the Frustrated Heisenberg Antiferromagnet on the Honeycomb Lattice journal, November 2010

Exotic disordered phases in the quantum J 1 - J 2 model on the honeycomb lattice journal, January 2013

Impact of Mn–O–O–Mn superexchange pathways in a honeycomb lattice Mn oxide with small charge-transfer energy journal, May 2013

Schwinger boson mean field theories of spin liquid states on a honeycomb lattice: Projective symmetry group analysis and critical field theory journal, July 2010

Quantum disordered phase on the frustrated honeycomb lattice text, January 2010

Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice text, January 2010

Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice text, January 2010

Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice text, January 2010

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

Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation text, January 2011

Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet text, January 2013

Linear spin wave theory for single-Q incommensurate magnetic structures text, January 2014

Field induced multiple order-by-disorder state selection in antiferromagnetic honeycomb bilayer lattice text, January 2015

Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice text, January 2015

Origin of magnetic frustration in Bi$_3$Mn$_4$O$_{12}$(NO$_3$) text, January 2017

Anyons in an exactly solved model and beyond text, January 2005

Title: Frustrated magnetic interactions in an $S = 3 / 2$ bilayer honeycomb lattice compound ${Bi}_{3} {Mn}_{4} O_{12}$ ( ${NO}_{3}$ )

Nature of the Spin Liquid State of the Hubbard Model on a Honeycomb Lattice
journal, August 2011

The Disk Chopper Spectrometer at NIST: a new instrument for quasielastic neutron scattering studies
journal, August 2003

Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation
journal, July 2011

Anyons in an exactly solved model and beyond
journal, January 2006

DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data
journal, November 2009

Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
journal, June 2010

Broken discrete symmetries in a frustrated honeycomb antiferromagnet
journal, March 2013

Ground-state 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

$Z_{2}$ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
journal, July 2011

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

Origin of magnetic frustration in ${Bi}_{3} {Mn}_{4} O_{12} ({NO}_{3})$
journal, October 2017

Dzyaloshinsky-Moriya interaction and field-induced magnetic order in an antiferromagnetic honeycomb lattice compound Bi $_{3}$ Mn $_{4}$ O $_{12}$ (NO $_{3}$ ) studied by high-field electron spin resonance
journal, October 2012

Néel to dimer transition in spin- $S$ antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
journal, December 2011

Quantum phases in the frustrated Heisenberg model on the bilayer honeycomb lattice
journal, January 2014

Quantum paramagnetic ground states on the honeycomb lattice and field-induced Néel order
journal, April 2011

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

Magnetic ground state of the frustrated honeycomb lattice antiferromagnet Bi $_{3}$ Mn $_{4}$ O $_{12}$ (NO $_{3}$ )
journal, May 2012

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

Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet
journal, March 2013

Unexpected $z$ -Direction Ising Antiferromagnetic Order in a Frustrated Spin- $1 / 2$ $J_{1} - J_{2}$ $X Y$ Model on the Honeycomb Lattice
journal, December 2013

Weak Plaquette Valence Bond Order in the $S = 1 / 2$ Honeycomb $J_{1} - J_{2}$ Heisenberg Model
journal, March 2013

Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source
journal, January 2012

Quantum disordered phase on the frustrated honeycomb lattice
journal, March 2011

Short and Long Range Magnetic Ordering in β-MnO ₂ –A Temperature Study–
journal, December 2004

Disordered Ground State and Magnetic Field-Induced Long-Range Order in an $S = 3 / 2$ Antiferromagnetic Honeycomb Lattice Compound ${Bi}_{3} {Mn}_{4} O_{12} ({NO}_{3})$
journal, October 2010

Neutron-scattering study of antiferromagnetism in ${YBa}_{2}$ ${Cu}_{3}$ $O_{6.15}$
journal, November 1993

Field-induced multiple order-by-disorder state selection in an antiferromagnetic honeycomb bilayer lattice
journal, April 2016

Magnetic Structure of β -MnO ₂ : X-ray Magnetic Scattering Study
journal, January 2001

Linear spin wave theory for single-Q incommensurate magnetic structures
journal, March 2015

Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
journal, June 2016

Spin-gap phase of a quantum spin system on a honeycomb lattice
journal, October 2006

The ground states of the classical heisenberg and planar models on the triangular and plane hexagonal lattices
journal, February 1986

Plaquette valence bond ordering in a J ₁ – J ₂ Heisenberg antiferromagnet on a honeycomb lattice
journal, May 2011

Novel Spin-Liquid States in the Frustrated Heisenberg Antiferromagnet on the Honeycomb Lattice
journal, November 2010

Exotic disordered phases in the quantum $J_{1}$ - $J_{2}$ model on the honeycomb lattice
journal, January 2013

Impact of Mn–O–O–Mn superexchange pathways in a honeycomb lattice Mn oxide with small charge-transfer energy
journal, May 2013

Schwinger boson mean field theories of spin liquid states on a honeycomb lattice: Projective symmetry group analysis and critical field theory
journal, July 2010

Quantum disordered phase on the frustrated honeycomb lattice
text, January 2010

Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010

Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010

Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
text, January 2010

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

Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
text, January 2011

Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
text, January 2013

Linear spin wave theory for single-Q incommensurate magnetic structures
text, January 2014

Field induced multiple order-by-disorder state selection in antiferromagnetic honeycomb bilayer lattice
text, January 2015

Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
text, January 2015

Origin of magnetic frustration in Bi$_3$Mn$_4$O$_{12}$(NO$_3$)
text, January 2017

Anyons in an exactly solved model and beyond
text, January 2005