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

Journal Article · 18 January 2017 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.95.020411 · OSTI ID:1345730

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)

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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

OSTI ID:: 1345730

Report Number(s):: BNL--113531-2017-JA; KC0201060

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 95; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (39)

Higgs Bosons in Particle Physics and in Condensed Matter Volovik, G. E.; Zubkov, M. A. Journal of Low Temperature Physics, Vol. 175, Issue 1-2 https://doi.org/10.1007/s10909-013-0905-7	journal	October 2013
Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model Haldane, F. D. M. Physics Letters A, Vol. 93, Issue 9 https://doi.org/10.1016/0375-9601(83)90631-X	journal	February 1983
Quark confinement and topology of gauge theories Polyakov, A. M. Nuclear Physics B, Vol. 120, Issue 3 https://doi.org/10.1016/0550-3213(77)90086-4	journal	March 1977
Quantum Field Theory in Condensed Matter Physics Tsvelik, Alexei M. Cambridge University Press https://doi.org/10.1017/CBO9780511615832	book	January 2010
Field Theories of Condensed Matter Physics Fradkin, Eduardo Cambridge University Press https://doi.org/10.1017/CBO9781139015509	book	January 2013
Quantum criticality and universal scaling of a quantum antiferromagnet Lake, Bella; Tennant, D. Alan; Frost, Chris D. Nature Materials, Vol. 4, Issue 4 https://doi.org/10.1038/nmat1327	journal	March 2005
A glimpse of a Luttinger liquid Zaliznyak, Igor A. Nature Materials, Vol. 4, Issue 4 https://doi.org/10.1038/nmat1358	journal	April 2005
Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds Walters, Andrew C.; Perring, Toby G.; Caux, Jean-Sébastien Nature Physics, Vol. 5, Issue 12 https://doi.org/10.1038/nphys1405	journal	October 2009
Confinement of fractional quantum number particles in a condensed-matter system Lake, Bella; Tsvelik, Alexei M.; Notbohm, Susanne Nature Physics, Vol. 6, Issue 1 https://doi.org/10.1038/nphys1462	journal	November 2009
Quantum and classical criticality in a dimerized quantum antiferromagnet Merchant, P.; Normand, B.; Krämer, K. W. Nature Physics, Vol. 10, Issue 5 https://doi.org/10.1038/nphys2902	journal	April 2014
Pulsed Critical Field Measurements in Magnetic Systems Foner, Simon; Hou, Shou‐Ling Journal of Applied Physics, Vol. 33, Issue 3 https://doi.org/10.1063/1.1728697	journal	March 1962
Symmetry and the macroscopic dynamics of magnetic materials Andreev, Aleksandr F.; Marchenko, Vladimir I. Soviet Physics Uspekhi, Vol. 23, Issue 1 https://doi.org/10.1070/PU1980v023n01ABEH004859	journal	January 1980
Antiferromagnetism Nagamiya, T.; Yosida, K.; Kubo, R. Advances in Physics, Vol. 4, Issue 13 https://doi.org/10.1080/00018735500101154	journal	January 1955
Reflecting magnons Hofman, Diego M.; Maldacena, Juan M. Journal of High Energy Physics, Vol. 2007, Issue 11 https://doi.org/10.1088/1126-6708/2007/11/063	journal	November 2007
Broken Symmetries Goldstone, Jeffrey; Salam, Abdus; Weinberg, Steven Physical Review, Vol. 127, Issue 3 https://doi.org/10.1103/PhysRev.127.965	journal	August 1962
Quasi-one-dimensional spin- 1 2 Heisenberg magnets in their ordered phase: Correlation functions Essler, Fabian H. L.; Tsvelik, Alexei M.; Delfino, Gesualdo Physical Review B, Vol. 56, Issue 17 https://doi.org/10.1103/PhysRevB.56.11001	journal	November 1997
Electron spin resonance in S = 1 2 antiferromagnetic chains Oshikawa, Masaki; Affleck, Ian Physical Review B, Vol. 65, Issue 13 https://doi.org/10.1103/PhysRevB.65.134410	journal	March 2002
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 Kojima, K. M.; Yamanobe, J.; Eisaki, H. Physical Review B, Vol. 70, Issue 9 https://doi.org/10.1103/PhysRevB.70.094402	journal	September 2004
Longitudinal magnetic dynamics and dimensional crossover in the quasi-one-dimensional spin- 1 2 Heisenberg antiferromagnet KCuF 3 Lake, B.; Tennant, D. A.; Nagler, S. E. Physical Review B, Vol. 71, Issue 13 https://doi.org/10.1103/PhysRevB.71.134412	journal	April 2005
Spinon confinement in the one-dimensional Ising-like antiferromagnet SrCo 2 V 2 O 8 Wang, Zhe; Schmidt, M.; Bera, A. K. Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.140404	journal	April 2015
Neutron diffraction investigation of the H − T phase diagram above the longitudinal incommensurate phase of BaCo 2 V 2 O 8 Grenier, B.; Simonet, V.; Canals, B. Physical Review B, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevB.92.134416	journal	October 2015
Heisenberg necklace model in a magnetic field Tsvelik, A. M.; Zaliznyak, I. A. Physical Review B, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevB.94.075152	journal	August 2016
Roton Minimum as a Fingerprint of Magnon-Higgs Scattering in Ordered Quantum Antiferromagnets Powalski, M.; Uhrig, G. S.; Schmidt, K. P. Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.207202	journal	November 2015
Multicritical Point in the Magnetic Phase Diagram of CsNi Cl 3 Plumer, M. L.; Hood, Kevin; Caillé, A. Physical Review Letters, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevLett.60.45	journal	January 1988
Susceptibility of the spin 1/2 Heisenberg antiferromagnetic chain Eggert, Sebastian; Affleck, Ian; Takahashi, Minoru Physical Review Letters, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevLett.73.332	journal	July 1994
Singularities in Optical Spectra of Quantum Spin Chains Suzuura, H.; Yasuhara, H.; Furusaki, A. Physical Review Letters, Vol. 76, Issue 14 https://doi.org/10.1103/PhysRevLett.76.2579	journal	April 1996
Magnetic Susceptibility of Ideal Spin 1 / 2 Heisenberg Antiferromagnetic Chain Systems, Sr 2 CuO 3 and SrCuO 2 Motoyama, N.; Eisaki, H.; Uchida, S. Physical Review Letters, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevLett.76.3212	journal	April 1996
Dynamics of Coupled Quantum Spin Chains Schulz, H. J. Physical Review Letters, Vol. 77, Issue 13 https://doi.org/10.1103/PhysRevLett.77.2790	journal	September 1996
Reduction of Ordered Moment and Néel Temperature of Quasi-One-Dimensional Antiferromagnets Sr 2 CuO 3 and Ca 2 CuO 3 Kojima, K. M.; Fudamoto, Y.; Larkin, M. Physical Review Letters, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevLett.78.1787	journal	March 1997
Quantum Critical Scaling and Temperature-Dependent Logarithmic Corrections in the Spin-Half Heisenberg Chain Starykh, O. A.; Singh, R. R. P.; Sandvik, A. W. Physical Review Letters, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevLett.78.539	journal	January 1997
Low-Temperature Electron Spin Resonance Theory for Half-Integer Spin Antiferromagnetic Chains Oshikawa, Masaki; Affleck, Ian Physical Review Letters, Vol. 82, Issue 25 https://doi.org/10.1103/PhysRevLett.82.5136	journal	June 1999
Dominance of the Excitation Continuum in the Longitudinal Spectrum of Weakly Coupled Heisenberg S = 1 / 2 Chains Zheludev, A.; Kakurai, K.; Masuda, T. Physical Review Letters, Vol. 89, Issue 19 https://doi.org/10.1103/PhysRevLett.89.197205	journal	October 2002
Exact Analysis of ESR Shift in the Spin- 1 / 2 Heisenberg Antiferromagnetic Chain Maeda, Yoshitaka; Sakai, Kazumitsu; Oshikawa, Masaki Physical Review Letters, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevLett.95.037602	journal	July 2005
Chain Breaks and the Susceptibility of Sr 2 Cu 1 − x Pd x O 3 + δ and Other Doped Quasi-One-Dimensional Antiferromagnets Sirker, J.; Laflorencie, N.; Fujimoto, S. Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.137205	journal	March 2007
An introduction to lattice gauge theory and spin systems Kogut, John B. Reviews of Modern Physics, Vol. 51, Issue 4 https://doi.org/10.1103/RevModPhys.51.659	journal	October 1979
Nobel Lecture: Evading the Goldstone theorem Higgs, Peter W. Reviews of Modern Physics, Vol. 86, Issue 3 https://doi.org/10.1103/RevModPhys.86.851	journal	July 2014
Amplitude/Higgs Modes in Condensed Matter Physics Pekker, David; Varma, C. M. Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014350	journal	March 2015
Symmetry and the macroscopic dynamics of magnetic materials [Simmetriya i makroskopicheskaya dinamika magnetikov] Andreev, Aleksandr F.; Marchenko, V. I. Uspekhi Fizicheskih Nauk, Vol. 130, Issue 1 https://doi.org/10.3367/UFNr.0130.198001b.0039	journal	January 1980
Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions Furuya, Shunsuke C.; Sato, Masahiro Journal of the Physical Society of Japan, Vol. 84, Issue 3 https://doi.org/10.7566/JPSJ.84.033704	journal	March 2015

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