Two-dimensional quantum universality in the spin-1/2 triangular-lattice quantum antiferromagnet Na 2 BaCo(PO 4 ) 2

Sheng, Jieming; Wang, Le; Candini, Andrea; Jiang, Wenrui; Huang, Lianglong; Xi, Bin; Zhao, Jize; Ge, Han; Zhao, Nan; Fu, Ying; Ren, Jun; Yang, Jiong; Miao, Ping; Tong, Xin; Yu, Dapeng; Wang, Shanmin; Liu, Qihang; Kofu, Maiko; Mole, Richard; Biasiol, Giorgio; Yu, Dehong; Zaliznyak, Igor A.; Mei, Jia-Wei; Wu, Liusuo

doi:10.1073/pnas.2211193119

Two-dimensional quantum universality in the spin-1/2 triangular-lattice quantum antiferromagnet Na ₂ BaCo(PO ₄ ) ₂

Journal Article · Thu Dec 15 00:00:00 EST 2022 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.2211193119· OSTI ID:1905318

^[1]; Wang, Le ^[2]; ^[3]; Jiang, Wenrui ^[2]; Huang, Lianglong ^[2]; Xi, Bin ^[4]; Zhao, Jize ^[5]; ^[6]; ^[6]; Fu, Ying ^[2]; Ren, Jun ^[6]; Yang, Jiong ^[7]; Miao, Ping ^[8]; Tong, Xin ^[8]; Yu, Dapeng ^[2]; Wang, Shanmin ^[6]; ^[6]; Kofu, Maiko ^[9]; Mole, Richard ^[10]; Biasiol, Giorgio ^[11] more »

Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China, Academy for Advanced Interdisciplinary Studies, Southern University of Science and Technology, Shenzhen 518055, China, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, Spallation Neutron Source Science Center (CSNS), Dongguan 523803, China
Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China, Shenzhen Institute for Quantum Science and Engineering, Shenzhen 518055, China
Istituto Sintesi Organica e Fotoreattività (ISOF - CNR) Via P. Gobetti, 101-40129, Bologna, Italy
College of Physics Science and Technology, Yangzhou University, Yangzhou 225002, China
School of Physical Science and Technology &, Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China
Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
Department of Chemistry, Southern University of Science and Technology, Shenzhen 518055, China
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, Spallation Neutron Source Science Center (CSNS), Dongguan 523803, China
Japan Proton Accelerator Research Complex (J-PARC) Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan
Australian Nuclear Science and Technology Organisation, Locked bag 2001, Kirrawee DC, NSW 2232, Australia
Istituto Officina dei Materiali (IOM - CNR), Laboratorio di Tecnologie Avanzate, Superfici e Catalisi (TASC), 34149, Trieste, Italy
Condensed Matter Physics and Materials Science Division, Brookhaven National Laboratory, Upton, NY 11973
Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China, Shenzhen Institute for Quantum Science and Engineering, Shenzhen 518055, China, Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices, Southern University of Science and Technology, Shenzhen 518055, China
Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China, Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices, Southern University of Science and Technology, Shenzhen 518055, China

An interplay of geometrical frustration and strong quantum fluctuations in a spin-1/2 triangular-lattice antiferromagnet (TAF) can lead to exotic quantum states. Here, we report the neutron-scattering, magnetization, specific heat, and magnetocaloric studies of the recently discovered spin-1/2 TAF Na ₂ BaCo(PO ₄ ) ₂ , which can be described by a spin-1/2 easy axis XXZ model. The zero-field neutron diffraction experiment reveals an incommensurate antiferromagnetic ground state with a significantly reduced ordered moment of about 0.54(2) μ _B /Co. Different magnetic phase diagrams with magnetic fields in the a b plane and along the easy c -axis were extracted based on the magnetic susceptibility, specific heat, and elastic neutron-scattering results. In addition, two-dimensional (2D) spin dispersion in the triangular plane was observed in the high-field polarized state, and microscopic exchange parameters of the spin Hamiltonian have been determined through the linear spin wave theory. Consistently, quantum critical behaviors with the universality class of d = 2 and ν z = 1 were established in the vicinity of the saturation field, where a Bose–Einstein condensation (BEC) of diluted magnons occurs. The newly discovered quantum criticality and fractional magnetization phase in this ideal spin-1/2 TAF present exciting opportunities for exploring exotic quantum phenomena.

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

Sponsoring Organization:: Guangdong Basic and Applied Basic Research Foundation; National Key Research and Development Program of China; National Natural Science Foundation of China (NSFC); Science, Technology and Innovation Commission of Shenzhen Municipality; USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0012704

OSTI ID:: 1905318

Alternate ID(s):: OSTI ID: 1906940

Report Number(s):: BNL-223835-2022-JAAM; e2211193119

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 51 Vol. 119; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

References (54)

Recent advances in magnetic structure determination by neutron powder diffraction Rodríguez-Carvajal, Juan Physica B: Condensed Matter, Vol. 192, Issue 1-2 https://doi.org/10.1016/0921-4526(93)90108-I	journal	October 1993
Deep levels in MBE grown AlGaAs/GaAs heterostructures Cavallini, A. Microelectronic Engineering, Vol. 73-74 https://doi.org/10.1016/S0167-9317(04)00250-3	journal	June 2004
Horace : Software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments Ewings, R. A.; Buts, A.; Le, M. D. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 834 https://doi.org/10.1016/j.nima.2016.07.036	journal	October 2016
Quantum Phase Transitions Sachdev, Subir https://doi.org/10.1017/CBO9780511973765	book	January 2011
Onset of antiferromagnetism in heavy-fermion metals Schröder, A.; Aeppli, G.; Coldea, R. Nature, Vol. 407, Issue 6802 https://doi.org/10.1038/35030039	journal	September 2000
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms Greiner, Markus; Mandel, Olaf; Esslinger, Tilman Nature, Vol. 415, Issue 6867 https://doi.org/10.1038/415039a	journal	January 2002
Crystallization of spin superlattices with pressure and field in the layered magnet SrCu2(BO3)2 Haravifard, S.; Graf, D.; Feiguin, A. E. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11956	journal	June 2016
Bose–Einstein condensation in magnetic insulators Giamarchi, Thierry; Rüegg, Christian; Tchernyshyov, Oleg Nature Physics, Vol. 4, Issue 3 https://doi.org/10.1038/nphys893	journal	March 2008
Tomonaga–Luttinger liquid behavior and spinon confinement in YbAlO3 Wu, L. S.; Nikitin, S. E.; Wang, Z. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08485-7	journal	February 2019
Possible itinerant excitations and quantum spin state transitions in the effective spin-1/2 triangular-lattice antiferromagnet Na2BaCo(PO4)2 Li, N.; Huang, Q.; Yue, X. Y. Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-18041-3	journal	August 2020
Field-tunable quantum disordered ground state in the triangular-lattice antiferromagnet NaYbO2 Bordelon, Mitchell M.; Kenney, Eric; Liu, Chunxiao Nature Physics, Vol. 15, Issue 10 https://doi.org/10.1038/s41567-019-0594-5	journal	July 2019
Review of Cernox™ (Zirconium Oxy-Nitride) Thin-Film Resistance Temperature Sensors Courts, S. Scott TEMPERATURE: Its Measurement and Control in Science and Industry; Volume VII; Eighth Temperature Symposium, AIP Conference Proceedings https://doi.org/10.1063/1.1627157	conference	January 2003
AC measurement of heat capacity and magnetocaloric effect for pulsed magnetic fields Kohama, Yoshimitsu; Marcenat, Christophe; Klein, Thierry Review of Scientific Instruments, Vol. 81, Issue 10 https://doi.org/10.1063/1.3475155	journal	October 2010
Quantum critical fluctuations in layered YFe ₂ Al ₁₀ Wu, L. S.; Kim, M. S.; Park, K. Proceedings of the National Academy of Sciences, Vol. 111, Issue 39 https://doi.org/10.1073/pnas.1413112111	journal	September 2014
Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice Zhong, Ruidan; Guo, Shu; Xu, Guangyong Proceedings of the National Academy of Sciences, Vol. 116, Issue 29 https://doi.org/10.1073/pnas.1906483116	journal	July 2019
Unusual ordered phases of highly frustrated magnets: a review Starykh, Oleg A. Reports on Progress in Physics, Vol. 78, Issue 5 https://doi.org/10.1088/0034-4885/78/5/052502	journal	April 2015
Magnetization plateaux of the S = 1/2 two-dimensional frustrated antiferromagnet Cs ₂ CuBr ₄ Ono, T.; Tanaka, H.; Kolomiyets, O. Journal of Physics: Condensed Matter, Vol. 16, Issue 11 https://doi.org/10.1088/0953-8984/16/11/028	journal	March 2004
High-order coupled cluster method study of frustrated and unfrustrated quantum magnets in external magnetic fields Farnell, D. J. J.; Zinke, R.; Schulenburg, J. Journal of Physics: Condensed Matter, Vol. 21, Issue 40 https://doi.org/10.1088/0953-8984/21/40/406002	journal	September 2009
Quantum theory of an antiferromagnet on a triangular lattice in a magnetic field Chubukov, A. V.; Golosov, D. I. Journal of Physics: Condensed Matter, Vol. 3, Issue 1 https://doi.org/10.1088/0953-8984/3/1/005	journal	January 1991
Hall nano-probes fabricated by focused ion beam Candini, A.; Gazzadi, G. C.; Bona, A. di Nanotechnology, Vol. 17, Issue 9 https://doi.org/10.1088/0957-4484/17/9/005	journal	March 2006
Effects of interlayer and bi-quadratic exchange coupling on layered triangular lattice antiferromagnets Li, M.; Plumer, M. L.; Quirion, G. Journal of Physics: Condensed Matter, Vol. 32, Issue 13 https://doi.org/10.1088/1361-648X/ab5ea6	journal	January 2020
Microscopic evidence of a quantum magnetization process in the S = 1 2 triangular-lattice Heisenberg-like antiferromagnet Ba 3 CoSb 2 O 9 Liu, X. Z.; Prokhnenko, O.; Yamamoto, D. Physical Review B, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevB.100.094436	journal	September 2019
Magnetism driven by the interplay of fluctuations and frustration in the easy-axis triangular XXZ model with transverse fields Yamamoto, Daisuke; Marmorini, Giacomo; Tabata, Masahiro Physical Review B, Vol. 100, Issue 14 https://doi.org/10.1103/PhysRevB.100.140410	journal	October 2019
Field-induced magnetic transition and spin fluctuations in the quantum spin-liquid candidate CsYbSe 2 Xing, Jie; Sanjeewa, Liurukara D.; Kim, Jungsoo Physical Review B, Vol. 100, Issue 22 https://doi.org/10.1103/PhysRevB.100.220407	journal	December 2019
Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe 2 Ranjith, K. M.; Luther, S.; Reimann, T. Physical Review B, Vol. 100, Issue 22 https://doi.org/10.1103/PhysRevB.100.224417	journal	December 2019
Temporal and field evolution of spin excitations in the disorder-free triangular antiferromagnet Na2BaCo(PO4)2 Lee, S.; Lee, C. H.; Berlie, A. Physical Review B, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevB.103.024413	journal	January 2021
Boson localization and the superfluid-insulator transition Fisher, Matthew P. A.; Weichman, Peter B.; Grinstein, G. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.546	journal	July 1989
Coupled ladders in a magnetic field Giamarchi, T.; Tsvelik, A. M. Physical Review B, Vol. 59, Issue 17 https://doi.org/10.1103/PhysRevB.59.11398	journal	May 1999
Magnetization plateau in the frustrated quantum spin system Cs 2 CuBr 4 Ono, T.; Tanaka, H.; Aruga Katori, H. Physical Review B, Vol. 67, Issue 10 https://doi.org/10.1103/PhysRevB.67.104431	journal	March 2003
Superfluid-insulator transitions on the triangular lattice Burkov, A. A.; Balents, Leon Physical Review B, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevB.72.134502	journal	October 2005
Thermodynamics of the up-up-down phase of the S = 1 2 triangular-lattice antiferromagnet Cs 2 Cu Br 4 Tsujii, H.; Rotundu, C. R.; Ono, T. Physical Review B, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevB.76.060406	journal	August 2007
Supersolid order of frustrated hard-core bosons in a triangular lattice system Jiang, H. C.; Weng, M. Q.; Weng, Z. Y. Physical Review B, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevB.79.020409	journal	January 2009
Variational studies of triangular Heisenberg antiferromagnet in magnetic field Tay, Tiamhock; Motrunich, Olexei I. Physical Review B, Vol. 81, Issue 16 https://doi.org/10.1103/PhysRevB.81.165116	journal	April 2010
Extreme sensitivity of a frustrated quantum magnet: Cs 2 Cu Cl 4 Starykh, Oleg A.; Katsura, Hosho; Balents, Leon Physical Review B, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevB.82.014421	journal	July 2010
Critical magnetization behavior of the triangular- and kagome-lattice quantum antiferromagnets Sakai, Tôru; Nakano, Hiroki Physical Review B, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevB.83.100405	journal	March 2011
Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice Ye, Mengxing; Chubukov, Andrey V. Physical Review B, Vol. 96, Issue 14 https://doi.org/10.1103/PhysRevB.96.140406	journal	October 2017
Cascade of Magnetic-Field-Induced Quantum Phase Transitions in a Spin- 1 2 Triangular-Lattice Antiferromagnet Fortune, N. A.; Hannahs, S. T.; Yoshida, Y. Physical Review Letters, Vol. 102, Issue 25 https://doi.org/10.1103/PhysRevLett.102.257201	journal	June 2009
Experimental Realization of a Spin- 1 / 2 Triangular-Lattice Heisenberg Antiferromagnet Shirata, Yutaka; Tanaka, Hidekazu; Matsuo, Akira Physical Review Letters, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevLett.108.057205	journal	January 2012
Successive Phase Transitions and Extended Spin-Excitation Continuum in the S = 1 2 Triangular-Lattice Antiferromagnet Ba 3 CoSb 2 O 9 Zhou, H. D.; Xu, Cenke; Hallas, A. M. Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.267206	journal	December 2012
Magnetization Process and Collective Excitations in the S = 1 / 2 Triangular-Lattice Heisenberg Antiferromagnet Ba 3 CoSb 2 O 9 Susuki, Takuya; Kurita, Nobuyuki; Tanaka, Takuya Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.267201	journal	June 2013
Quantum Phase Diagram of the Triangular-Lattice X X Z Model in a Magnetic Field Yamamoto, Daisuke; Marmorini, Giacomo; Danshita, Ippei Physical Review Letters, Vol. 112, Issue 12 https://doi.org/10.1103/PhysRevLett.112.127203	journal	March 2014
Microscopic Model Calculations for the Magnetization Process of Layered Triangular-Lattice Quantum Antiferromagnets Yamamoto, Daisuke; Marmorini, Giacomo; Danshita, Ippei Physical Review Letters, Vol. 114, Issue 2 https://doi.org/10.1103/PhysRevLett.114.027201	journal	January 2015
Quantum criticality and the Tomonaga-Luttinger liquid in one-dimensional Bose gases Yang, Bing; Chen, Yang-Yang; Zheng, Yong-Guang Physical Review Letters, Vol. 119, Issue 16 https://doi.org/10.1103/PhysRevLett.119.165701	journal	October 2017
Avoided Antiferromagnetic Order and Quantum Critical Point in C e C o I n 5 Bianchi, A.; Movshovich, R.; Vekhter, I. Physical Review Letters, Vol. 91, Issue 25 https://doi.org/10.1103/PhysRevLett.91.257001	journal	December 2003
Bose-Einstein Condensation of S = 1 Nickel Spin Degrees of Freedom in NiCl 2 − 4 SC ( NH 2 ) 2 Zapf, V. S.; Zocco, D.; Hansen, B. R. Physical Review Letters, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevLett.96.077204	journal	February 2006
Bose-Einstein condensation in quantum magnets Zapf, Vivien; Jaime, Marcelo; Batista, C. D. Reviews of Modern Physics, Vol. 86, Issue 2 https://doi.org/10.1103/RevModPhys.86.563	journal	May 2014
QUANTUM MECHANICS: To Condense or Not to Condense Rice, T. M. Science, Vol. 298, Issue 5594 https://doi.org/10.1126/science.1078819	journal	October 2002
Quantum Criticality Without Tuning in the Mixed Valence Compound -YbAlB4 Matsumoto, Y.; Nakatsuji, S.; Kuga, K. Science, Vol. 331, Issue 6015 https://doi.org/10.1126/science.1197531	journal	January 2011
Magnetic Properties of Ising-Like Heisenberg Antiferromagnets on the Triangular Lattice Miyashita, Seiji Journal of the Physical Society of Japan, Vol. 55, Issue 10 https://doi.org/10.1143/JPSJ.55.3605	journal	October 1986
AMATERAS: A Cold-Neutron Disk Chopper Spectrometer Nakajima, Kenji; Ohira-Kawamura, Seiko; Kikuchi, Tatsuya Journal of the Physical Society of Japan, Vol. 80, Issue Suppl.B https://doi.org/10.1143/JPSJS.80SB.SB028	journal	January 2011
A Lattice Model of Liquid Helium, I Matsubara, Takeo; Matsuda, Hirotsugu Progress of Theoretical Physics, Vol. 16, Issue 6 https://doi.org/10.1143/PTP.16.569	journal	December 1956
DAVE: A Comprehensive Software Suite for the Reduction, Visualization, and Analysis of Low Energy Neutron Spectroscopic Data Azuah, Richard Tumanjong; Kneller, Larry R.; Qiu, Yiming Journal of Research of the National Institute of Standards and Technology, Vol. 114, Issue 6 https://doi.org/10.6028/jres.114.025	journal	November 2009
Magnetization Process of Spin-1/2 Heisenberg Antiferromagnets on a Layered Triangular Lattice Yamamoto, Daisuke; Marmorini, Giacomo; Danshita, Ippei Journal of the Physical Society of Japan, Vol. 85, Issue 2 https://doi.org/10.7566/JPSJ.85.024706	journal	February 2016
Pelican — a Time of Flight Cold Neutron Polarization Analysis Spectrometer at OPAL Yu, Dehong; Mole, Richard; Noakes, Terry Journal of the Physical Society of Japan, Vol. 82, Issue Suppl.A https://doi.org/10.7566/JPSJS.82SA.SA027	journal	January 2013

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Two-dimensional quantum universality in the spin-1/2 triangular-lattice quantum antiferromagnet Na ₂ BaCo(PO ₄ ) ₂