Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2

doi:10.1038/s41467-018-04601-1

Title: Amplitude mode in the planar triangular antiferromagnet Na_0.9MnO₂

Abstract

Amplitude modes arising from symmetry breaking in materials are of broad interest in condensed matter physics. These modes reflect an oscillation in the amplitude of a complex order parameter, yet are typically unstable and decay into oscillations of the order parameter’s phase. This renders stable amplitude modes rare, and exotic effects in quantum antiferromagnets have historically provided a realm for their detection. Here we report an alternate route to realizing amplitude modes in magnetic materials by demonstrating that an antiferromagnet on a two-dimensional anisotropic triangular lattice (α-Na0.9MnO2) exhibits a long-lived, coherent oscillation of its staggered magnetization field. Our results show that geometric frustration of Heisenberg spins with uniaxial single-ion anisotropy can renormalize the interactions of a dense two-dimensional network of moments into largely decoupled, one-dimensional chains that manifest a longitudinally polarized bound state. This bound state is driven by the Ising-like anisotropy inherent to the Mn3+ ions of this compound.

Authors:

Dally, Rebecca L. ^[1];

^[2]; Xu, Zhijun ^[2]; Chisnell, Robin ^[3];

^[4]; Lynn, Jeffrey W. ^[3]; Balents, Leon ^[5]; Wilson, Stephen D. ^[6]

Univ. of California, Santa Barbara, CA (United States). Materials Dept.; Boston College, Chestnut Hill, MA (United States). Dept. of Physics
National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research; Univ. of Maryland, College Park, MD (United States). Dept. of Materials Science and Engineering
National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division
Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
Univ. of California, Santa Barbara, CA (United States). Materials Dept.

Publication Date:: 2018-06-05

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of California, Santa Barbara, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1474479

Alternate Identifier(s):: OSTI ID: 1594776

Grant/Contract Number:: AC05-00OR22725; SC0017752; FG02-08ER 46524

Resource Type:: Accepted Manuscript

Journal Name:: Nature Communications

Additional Journal Information:: Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Dally, Rebecca L., Zhao, Yang, Xu, Zhijun, Chisnell, Robin, Stone, Matthew B., Lynn, Jeffrey W., Balents, Leon, and Wilson, Stephen D. Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2.  United States: N. p., 2018. 
        Web.  doi:10.1038/s41467-018-04601-1.

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                    Dally, Rebecca L., Zhao, Yang, Xu, Zhijun, Chisnell, Robin, Stone, Matthew B., Lynn, Jeffrey W., Balents, Leon, & Wilson, Stephen D. Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2.  United States.  doi:10.1038/s41467-018-04601-1.

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                    Dally, Rebecca L., Zhao, Yang, Xu, Zhijun, Chisnell, Robin, Stone, Matthew B., Lynn, Jeffrey W., Balents, Leon, and Wilson, Stephen D. Tue .  
        "Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2".  United States.  doi:10.1038/s41467-018-04601-1.  https://www.osti.gov/servlets/purl/1474479.

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@article{osti_1474479,

  title        = {Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2},

  author       = {Dally, Rebecca L. and Zhao, Yang and Xu, Zhijun and Chisnell, Robin and Stone, Matthew B. and Lynn, Jeffrey W. and Balents, Leon and Wilson, Stephen D.},

  abstractNote = {Amplitude modes arising from symmetry breaking in materials are of broad interest in condensed matter physics. These modes reflect an oscillation in the amplitude of a complex order parameter, yet are typically unstable and decay into oscillations of the order parameter’s phase. This renders stable amplitude modes rare, and exotic effects in quantum antiferromagnets have historically provided a realm for their detection. Here we report an alternate route to realizing amplitude modes in magnetic materials by demonstrating that an antiferromagnet on a two-dimensional anisotropic triangular lattice (α-Na0.9MnO2) exhibits a long-lived, coherent oscillation of its staggered magnetization field. Our results show that geometric frustration of Heisenberg spins with uniaxial single-ion anisotropy can renormalize the interactions of a dense two-dimensional network of moments into largely decoupled, one-dimensional chains that manifest a longitudinally polarized bound state. This bound state is driven by the Ising-like anisotropy inherent to the Mn3+ ions of this compound.},

  doi          = {10.1038/s41467-018-04601-1},

  journal      = {Nature Communications},

  number       = 1,

  volume       = 9,

  place        = {United States},

  year         = {2018},

  month        = {6}

}

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DOI: 10.1038/s41467-018-04601-1

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Works referenced in this record:

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Works referencing / citing this record:

Cluster glass behavior of the frustrated birnessites $A_{x} Mn O_{2} \cdot y H_{2} O (A = Na, K)$
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Kulish, L. D.; Scholtens, R.; Blake, G. R.
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Nanoscale degeneracy lifting in a geometrically frustrated antiferromagnet
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Title: Amplitude mode in the planar triangular antiferromagnet Na0.9MnO2

Abstract

Citation Formats

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point journal, July 2017

Longitudinal spin fluctuations of coupled integer-spin chains: Haldane triplet dynamics in the ordered phase of CsNiCl 3 journal, February 1999

Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State journal, April 1983

Dominance of the Excitation Continuum in the Longitudinal Spectrum of Weakly Coupled Heisenberg S = 1 / 2 Chains journal, October 2002

The resolution function in neutron diffractometry. I. The resolution function of a neutron diffractometer and its application to phonon measurements journal, September 1967

Electrochemical Properties of Monoclinic NaMnO2 journal, January 2011

Magnetoelastic Coupling and Symmetry Breaking in the Frustrated Antiferromagnet α − NaMnO 2 journal, December 2007

Multiple Twinning As a Structure Directing Mechanism in Layered Rock-Salt-Type Oxides: NaMnO 2 Polymorphism, Redox Potentials, and Magnetism journal, May 2014

Orbital Ordering in Frustrated Jahn-Teller Systems with 90° Exchange journal, November 2002

Longitudinal excitations in quantum antiferromagnets journal, August 2011

One- and two-magnon excitations in a one-dimensional antiferromagnet in a magnetic field journal, October 1981

Magnetic structure and properties of the S = 5 ∕ 2 triangular antiferromagnet α − Na Fe O 2 journal, July 2007

Floating zone growth of α-Na0.90MnO2 single crystals journal, February 2017

Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl 3 journal, May 2008

Two-magnon excitations observed by neutron scattering in the two-dimensional spin- 5 2 Heisenberg antiferromagnet Rb 2 Mn F 4 journal, July 2005

S =2 antiferromagnetic quantum spin chain journal, August 1996

Frustration-induced nanometre-scale inhomogeneity in a triangular antiferromagnet journal, January 2014

Polarized-Neutron Observation of Longitudinal Haldane-Gap Excitations in Nd 2 BaNiO 5 journal, March 1999

Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet BaCo 2 V 2 O 8 journal, January 2015

Magnetic interactions in α − Na Mn O 2 : Quantum spin-2 system on a spatially anisotropic two-dimensional triangular lattice journal, January 2008

Polarization Analysis of Thermal-Neutron Scattering journal, May 1969

One-Dimensional Magnetic Fluctuations in the Spin-2 Triangular Lattice α − NaMnO 2 journal, August 2009

Quantum and classical criticality in a dimerized quantum antiferromagnet journal, April 2014

Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study journal, June 2013

Experimental Realization of a 2D Fractional Quantum Spin Liquid journal, February 2001

Haldane Gap and Hidden Order in the S = 2 Antiferromagnetic Quantum Spin Chain journal, June 1995

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

Novel Longitudinal Mode in the Coupled Quantum Chain Compound KCuF 3 journal, July 2000

Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model journal, February 1983

Magnetic frustration in α-NaMnO 2 and CuMnO 2 journal, April 2011

Spin dynamics and the Haldane gap in the spin-1 quasi-one-dimensional antiferromagnet CsNiCl 3 journal, July 1988

Amplitude/Higgs Modes in Condensed Matter Physics journal, March 2015

Higgs mode and its decay in a two-dimensional antiferromagnet journal, March 2017

3He spin filters for a thermal neutron triple axis spectrometer journal, July 2007

Double-Focusing Thermal Triple-Axis Spectrometer at the NCNR journal, January 2012

Cluster glass behavior of the frustrated birnessites A x Mn O 2 · y H 2 O ( A = Na , K ) journal, December 2019

Nanoscale degeneracy lifting in a geometrically frustrated antiferromagnet journal, January 2020

Amplitude modes in three-dimensional spin dimers away from quantum critical point journal, November 2019

Title: Amplitude mode in the planar triangular antiferromagnet Na_0.9MnO₂

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
journal, July 2017

Longitudinal spin fluctuations of coupled integer-spin chains: Haldane triplet dynamics in the ordered phase of ${CsNiCl}_{3}$
journal, February 1999

Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
journal, April 1983

Dominance of the Excitation Continuum in the Longitudinal Spectrum of Weakly Coupled Heisenberg $S = 1 / 2$ Chains
journal, October 2002

The resolution function in neutron diffractometry. I. The resolution function of a neutron diffractometer and its application to phonon measurements
journal, September 1967

Electrochemical Properties of Monoclinic NaMnO2
journal, January 2011

Magnetoelastic Coupling and Symmetry Breaking in the Frustrated Antiferromagnet $α − {NaMnO}_{2}$
journal, December 2007

Multiple Twinning As a Structure Directing Mechanism in Layered Rock-Salt-Type Oxides: NaMnO ₂ Polymorphism, Redox Potentials, and Magnetism
journal, May 2014

Orbital Ordering in Frustrated Jahn-Teller Systems with 90° Exchange
journal, November 2002

Longitudinal excitations in quantum antiferromagnets
journal, August 2011

One- and two-magnon excitations in a one-dimensional antiferromagnet in a magnetic field
journal, October 1981

Magnetic structure and properties of the $S = 5 ∕ 2$ triangular antiferromagnet $α − Na Fe O_{2}$
journal, July 2007

Floating zone growth of α-Na0.90MnO2 single crystals
journal, February 2017

Quantum Magnets under Pressure: Controlling Elementary Excitations in ${TlCuCl}_{3}$
journal, May 2008

Two-magnon excitations observed by neutron scattering in the two-dimensional spin- $\frac{5}{2}$ Heisenberg antiferromagnet ${Rb}_{2} Mn F_{4}$
journal, July 2005

S =2 antiferromagnetic quantum spin chain
journal, August 1996

Frustration-induced nanometre-scale inhomogeneity in a triangular antiferromagnet
journal, January 2014

Polarized-Neutron Observation of Longitudinal Haldane-Gap Excitations in ${Nd}_{2} {BaNiO}_{5}$
journal, March 1999

Longitudinal and Transverse Zeeman Ladders in the Ising-Like Chain Antiferromagnet ${BaCo}_{2} V_{2} O_{8}$
journal, January 2015

Magnetic interactions in $α − Na Mn O_{2}$ : Quantum spin-2 system on a spatially anisotropic two-dimensional triangular lattice
journal, January 2008

Polarization Analysis of Thermal-Neutron Scattering
journal, May 1969

One-Dimensional Magnetic Fluctuations in the Spin-2 Triangular Lattice $α − {NaMnO}_{2}$
journal, August 2009

Quantum and classical criticality in a dimerized quantum antiferromagnet
journal, April 2014

Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study
journal, June 2013

Experimental Realization of a 2D Fractional Quantum Spin Liquid
journal, February 2001

Haldane Gap and Hidden Order in the S = 2 Antiferromagnetic Quantum Spin Chain
journal, June 1995

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

Novel Longitudinal Mode in the Coupled Quantum Chain Compound ${KCuF}_{3}$
journal, July 2000

Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
journal, February 1983

Magnetic frustration in α-NaMnO ₂ and CuMnO ₂
journal, April 2011

Spin dynamics and the Haldane gap in the spin-1 quasi-one-dimensional antiferromagnet ${CsNiCl}_{3}$
journal, July 1988

Amplitude/Higgs Modes in Condensed Matter Physics
journal, March 2015

Higgs mode and its decay in a two-dimensional antiferromagnet
journal, March 2017

3He spin filters for a thermal neutron triple axis spectrometer
journal, July 2007

Double-Focusing Thermal Triple-Axis Spectrometer at the NCNR
journal, January 2012

Cluster glass behavior of the frustrated birnessites $A_{x} Mn O_{2} \cdot y H_{2} O (A = Na, K)$
journal, December 2019

Nanoscale degeneracy lifting in a geometrically frustrated antiferromagnet
journal, January 2020

Amplitude modes in three-dimensional spin dimers away from quantum critical point
journal, November 2019