Unusual magnetic excitations in the weakly ordered spin- 12 chain antiferromagnet Sr2CuO3: Possible evidence for Goldstone magnon coupled with the amplitude mode

Sergeicheva, E. G.; Sosin, S. S.; Prozorova, L. A.; Gu, G. D.; Zaliznyak, I. A.

doi:10.1103/PhysRevB.95.020411

Title: Unusual magnetic excitations in the weakly ordered spin- $\frac{1}{2}$ chain antiferromagnet ${Sr}_{2} {CuO}_{3}$ : Possible evidence for Goldstone magnon coupled with the amplitude mode

Abstract

We report on an electron spin resonance (ESR) study of a nearly one-dimensional (1D) spin-1/2 chain antiferromagnet, Sr₂CuO₃, with extremely weak magnetic ordering. The ESR spectra at T > T_N, in the disordered Luttinger-spin-liquid phase, reveal nearly ideal Heisenberg-chain behavior with only a very small, field-independent linewidth, ~1/T. In the ordered state, below T_N, we identify field-dependent antiferromagnetic resonance modes, which are well described by pseudo-Goldstone magnons in the model of a collinear biaxial antiferromagnet. Additionally, we observe a major resonant mode with unusual and strongly anisotropic properties, which is not anticipated by the conventional theory of Goldstone spin waves. Lastly, we propose that this unexpected magnetic excitation can be attributed to a field-independent magnon mode renormalized due to its interaction with the high-energy amplitude (Higgs) mode in the regime of weak spontaneous symmetry breaking.

Authors:

Sergeicheva, E. G. ^[1]; Sosin, S. S. ^[2]; Prozorova, L. A. ^[1]; Gu, G. D. ^[3]; Zaliznyak, I. A. ^[3]

P. Kapitza Institute for Physical Problems, Moscow (Russia)
P. Kapitza Institute for Physical Problems, Moscow (Russia); High School of Economics, Moscow (Russia)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2017-01-18

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

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

OSTI Identifier:: 1345730

Alternate Identifier(s):: OSTI ID: 1339768

Report Number(s):: BNL-113531-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO010; KC0201060; TRN: US1700963

Grant/Contract Number:: SC00112704

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 95; Journal Issue: 2; 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


                    Sergeicheva, E. G., Sosin, S. S., Prozorova, L. A., Gu, G. D., and Zaliznyak, I. A. Unusual magnetic excitations in the weakly ordered spin- 12 chain antiferromagnet Sr2CuO3: Possible evidence for Goldstone magnon coupled with the amplitude mode.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevB.95.020411.

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                    Sergeicheva, E. G., Sosin, S. S., Prozorova, L. A., Gu, G. D., & Zaliznyak, I. A. Unusual magnetic excitations in the weakly ordered spin- 12 chain antiferromagnet Sr2CuO3: Possible evidence for Goldstone magnon coupled with the amplitude mode.  United States.  https://doi.org/10.1103/PhysRevB.95.020411

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                    Sergeicheva, E. G., Sosin, S. S., Prozorova, L. A., Gu, G. D., and Zaliznyak, I. A. Wed .  
"Unusual magnetic excitations in the weakly ordered spin- 12 chain antiferromagnet Sr2CuO3: Possible evidence for Goldstone magnon coupled with the amplitude mode".  United States.  https://doi.org/10.1103/PhysRevB.95.020411.  https://www.osti.gov/servlets/purl/1345730.

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@article{osti_1345730,

  title        = {Unusual magnetic excitations in the weakly ordered spin- 12 chain antiferromagnet Sr2CuO3: Possible evidence for Goldstone magnon coupled with the amplitude mode},

  author       = {Sergeicheva, E. G. and Sosin, S. S. and Prozorova, L. A. and Gu, G. D. and Zaliznyak, I. A.},

  abstractNote = {We report on an electron spin resonance (ESR) study of a nearly one-dimensional (1D) spin-1/2 chain antiferromagnet, Sr2CuO3, with extremely weak magnetic ordering. The ESR spectra at T > TN, in the disordered Luttinger-spin-liquid phase, reveal nearly ideal Heisenberg-chain behavior with only a very small, field-independent linewidth, ~1/T. In the ordered state, below TN, we identify field-dependent antiferromagnetic resonance modes, which are well described by pseudo-Goldstone magnons in the model of a collinear biaxial antiferromagnet. Additionally, we observe a major resonant mode with unusual and strongly anisotropic properties, which is not anticipated by the conventional theory of Goldstone spin waves. Lastly, we propose that this unexpected magnetic excitation can be attributed to a field-independent magnon mode renormalized due to its interaction with the high-energy amplitude (Higgs) mode in the regime of weak spontaneous symmetry breaking.},

  doi          = {10.1103/PhysRevB.95.020411},

  journal      = {Physical Review B},

  number       = 2,

  volume       = 95,

  place        = {United States},

  year         = {2017},

  month        = {1}

}

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Works referenced in this record:

Longitudinal magnetic dynamics and dimensional crossover in the quasi-one-dimensional spin- $\frac{1}{2}$ Heisenberg antiferromagnet ${KCuF}_{3}$
journal, April 2005

Lake, B.; Tennant, D. A.; Nagler, S. E.
Physical Review B, Vol. 71, Issue 13
DOI: 10.1103/PhysRevB.71.134412

Roton Minimum as a Fingerprint of Magnon-Higgs Scattering in Ordered Quantum Antiferromagnets
journal, November 2015

Powalski, M.; Uhrig, G. S.; Schmidt, K. P.
Physical Review Letters, Vol. 115, Issue 20
DOI: 10.1103/PhysRevLett.115.207202

A glimpse of a Luttinger liquid
journal, April 2005

Zaliznyak, Igor A.
Nature Materials, Vol. 4, Issue 4
DOI: 10.1038/nmat1358

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

Zheludev, A.; Kakurai, K.; Masuda, T.
Physical Review Letters, Vol. 89, Issue 19
DOI: 10.1103/PhysRevLett.89.197205

Symmetry and the macroscopic dynamics of magnetic materials
journal, January 1980

Andreev, Aleksandr F.; Marchenko, Vladimir I.
Soviet Physics Uspekhi, Vol. 23, Issue 1
DOI: 10.1070/PU1980v023n01ABEH004859

Electron spin resonance in $S = \frac{1}{2}$ antiferromagnetic chains
journal, March 2002

Oshikawa, Masaki; Affleck, Ian
Physical Review B, Vol. 65, Issue 13
DOI: 10.1103/PhysRevB.65.134410

Quasi-one-dimensional spin- $\frac{1}{2}$ Heisenberg magnets in their ordered phase: Correlation functions
journal, November 1997

Essler, Fabian H. L.; Tsvelik, Alexei M.; Delfino, Gesualdo
Physical Review B, Vol. 56, Issue 17
DOI: 10.1103/PhysRevB.56.11001

Quark confinement and topology of gauge theories
journal, March 1977

Polyakov, A. M.
Nuclear Physics B, Vol. 120, Issue 3
DOI: 10.1016/0550-3213(77)90086-4

An introduction to lattice gauge theory and spin systems
journal, October 1979

Kogut, John B.
Reviews of Modern Physics, Vol. 51, Issue 4
DOI: 10.1103/RevModPhys.51.659

Magnetic Susceptibility of Ideal Spin 1 $/$ 2 Heisenberg Antiferromagnetic Chain Systems, ${Sr}_{2} {CuO}_{3}$ and ${SrCuO}_{2}$
journal, April 1996

Motoyama, N.; Eisaki, H.; Uchida, S.
Physical Review Letters, Vol. 76, Issue 17
DOI: 10.1103/PhysRevLett.76.3212

Reflecting magnons
journal, November 2007

Hofman, Diego M.; Maldacena, Juan M.
Journal of High Energy Physics, Vol. 2007, Issue 11
DOI: 10.1088/1126-6708/2007/11/063

Higgs Bosons in Particle Physics and in Condensed Matter
journal, October 2013

Volovik, G. E.; Zubkov, M. A.
Journal of Low Temperature Physics, Vol. 175, Issue 1-2
DOI: 10.1007/s10909-013-0905-7

Nobel Lecture: Evading the Goldstone theorem
journal, July 2014

Higgs, Peter W.
Reviews of Modern Physics, Vol. 86, Issue 3
DOI: 10.1103/RevModPhys.86.851

Neutron diffraction investigation of the $H - T$ phase diagram above the longitudinal incommensurate phase of ${BaCo}_{2} V_{2} O_{8}$
journal, October 2015

Grenier, B.; Simonet, V.; Canals, B.
Physical Review B, Vol. 92, Issue 13
DOI: 10.1103/PhysRevB.92.134416

Quantum Critical Scaling and Temperature-Dependent Logarithmic Corrections in the Spin-Half Heisenberg Chain
journal, January 1997

Starykh, O. A.; Singh, R. R. P.; Sandvik, A. W.
Physical Review Letters, Vol. 78, Issue 3
DOI: 10.1103/PhysRevLett.78.539

Heisenberg necklace model in a magnetic field
journal, August 2016

Tsvelik, A. M.; Zaliznyak, I. A.
Physical Review B, Vol. 94, Issue 7
DOI: 10.1103/PhysRevB.94.075152

Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional Antiferromagnets ${Sr}_{2} {CuO}_{3}$ and ${Ca}_{2} {CuO}_{3}$
journal, March 1997

Kojima, K. M.; Fudamoto, Y.; Larkin, M.
Physical Review Letters, Vol. 78, Issue 9
DOI: 10.1103/PhysRevLett.78.1787

Exact Analysis of ESR Shift in the Spin- $1 / 2$ Heisenberg Antiferromagnetic Chain
journal, July 2005

Maeda, Yoshitaka; Sakai, Kazumitsu; Oshikawa, Masaki
Physical Review Letters, Vol. 95, Issue 3
DOI: 10.1103/PhysRevLett.95.037602

Low-Temperature Electron Spin Resonance Theory for Half-Integer Spin Antiferromagnetic Chains
journal, June 1999

Oshikawa, Masaki; Affleck, Ian
Physical Review Letters, Vol. 82, Issue 25
DOI: 10.1103/PhysRevLett.82.5136

Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
journal, March 2015

Furuya, Shunsuke C.; Sato, Masahiro
Journal of the Physical Society of Japan, Vol. 84, Issue 3
DOI: 10.7566/JPSJ.84.033704

Symmetry and the macroscopic dynamics of magnetic materials [Simmetriya i makroskopicheskaya dinamika magnetikov]
journal, January 1980

Andreev, Aleksandr F.; Marchenko, V. I.
Uspekhi Fizicheskih Nauk, Vol. 130, Issue 1
DOI: 10.3367/UFNr.0130.198001b.0039

Broken Symmetries
journal, August 1962

Goldstone, Jeffrey; Salam, Abdus; Weinberg, Steven
Physical Review, Vol. 127, Issue 3
DOI: 10.1103/PhysRev.127.965

Multicritical Point in the Magnetic Phase Diagram of CsNi ${Cl}_{3}$
journal, January 1988

Plumer, M. L.; Hood, Kevin; Caillé, A.
Physical Review Letters, Vol. 60, Issue 1
DOI: 10.1103/PhysRevLett.60.45

Spinon confinement in the one-dimensional Ising-like antiferromagnet ${SrCo}_{2} V_{2} O_{8}$
journal, April 2015

Wang, Zhe; Schmidt, M.; Bera, A. K.
Physical Review B, Vol. 91, Issue 14
DOI: 10.1103/PhysRevB.91.140404

Quantum criticality and universal scaling of a quantum antiferromagnet
journal, March 2005

Lake, Bella; Tennant, D. Alan; Frost, Chris D.
Nature Materials, Vol. 4, Issue 4
DOI: 10.1038/nmat1327

Susceptibility of the spin 1/2 Heisenberg antiferromagnetic chain
journal, July 1994

Eggert, Sebastian; Affleck, Ian; Takahashi, Minoru
Physical Review Letters, Vol. 73, Issue 2
DOI: 10.1103/PhysRevLett.73.332

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

Merchant, P.; Normand, B.; Krämer, K. W.
Nature Physics, Vol. 10, Issue 5
DOI: 10.1038/nphys2902

Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds
journal, October 2009

Walters, Andrew C.; Perring, Toby G.; Caux, Jean-Sébastien
Nature Physics, Vol. 5, Issue 12
DOI: 10.1038/nphys1405

Chain Breaks and the Susceptibility of ${Sr}_{2} {Cu}_{1 - x} {Pd}_{x} O_{3 + δ}$ and Other Doped Quasi-One-Dimensional Antiferromagnets
journal, March 2007

Sirker, J.; Laflorencie, N.; Fujimoto, S.
Physical Review Letters, Vol. 98, Issue 13
DOI: 10.1103/PhysRevLett.98.137205

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

Haldane, F. D. M.
Physics Letters A, Vol. 93, Issue 9
DOI: 10.1016/0375-9601(83)90631-X

Singularities in Optical Spectra of Quantum Spin Chains
journal, April 1996

Suzuura, H.; Yasuhara, H.; Furusaki, A.
Physical Review Letters, Vol. 76, Issue 14
DOI: 10.1103/PhysRevLett.76.2579

Antiferromagnetism
journal, January 1955

Nagamiya, T.; Yosida, K.; Kubo, R.
Advances in Physics, Vol. 4, Issue 13
DOI: 10.1080/00018735500101154

Dynamics of Coupled Quantum Spin Chains
journal, September 1996

Schulz, H. J.
Physical Review Letters, Vol. 77, Issue 13
DOI: 10.1103/PhysRevLett.77.2790

Confinement of fractional quantum number particles in a condensed-matter system
journal, November 2009

Lake, Bella; Tsvelik, Alexei M.; Notbohm, Susanne
Nature Physics, Vol. 6, Issue 1
DOI: 10.1038/nphys1462

Site-dilution in the quasi-one-dimensional antiferromagnet ${Sr}_{2} ({Cu}_{1 - x} {Pd}_{x}) O_{3}$ : Reduction of Néel temperature and spatial distribution of ordered moment sizes
journal, September 2004

Kojima, K. M.; Yamanobe, J.; Eisaki, H.
Physical Review B, Vol. 70, Issue 9
DOI: 10.1103/PhysRevB.70.094402

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

Pekker, David; Varma, C. M.
Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
DOI: 10.1146/annurev-conmatphys-031214-014350

Pulsed Critical Field Measurements in Magnetic Systems
journal, March 1962

Foner, Simon; Hou, Shou‐Ling
Journal of Applied Physics, Vol. 33, Issue 3
DOI: 10.1063/1.1728697

Works referencing / citing this record:

Magnetic field tuning of quantum spin excitations in a weakly coupled $S = \frac{1}{2}$ Heisenberg spin chain as seen from NMR
journal, September 2019

Ma, Long; Wang, Z.; Hu, L.
Physical Review B, Vol. 100, Issue 12
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Title: Unusual magnetic excitations in the weakly ordered spin- 1 2 chain antiferromagnet Sr 2 CuO 3 : Possible evidence for Goldstone magnon coupled with the amplitude mode

Abstract

Citation Formats

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Multicritical Point in the Magnetic Phase Diagram of CsNi ${Cl}_{3}$
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Spinon confinement in the one-dimensional Ising-like antiferromagnet ${SrCo}_{2} V_{2} O_{8}$
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