High-order harmonics and the reverse of the squaring up process in the triangular-lattice magnet HoPdAl4⁢Ge2

Gao, Fei; Ren, Weijun; Wang, Chin-Wei; Yano, S.; Calder, Stuart; Zhang, Qiang; Wu, Hengheng; An, Meng; Jing, Yanpei; Li, Bing; Zhang, Zhidong

doi:10.1103/physrevb.109.134407

Title: High-order harmonics and the reverse of the squaring up process in the triangular-lattice magnet HoPdAl₄⁢Ge₂

Journal Article · 05 April 2024 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.109.134407 · OSTI ID:2439853

^[1];

^[2]; Yano, S. ^[2];

^[3];

^[1];

^[1]; Jing, Yanpei ^[1]; Li, Bing ^[1];

^[1]

Chinese Academy of Sciences (CAS) (China); Univ. of Science and Technology of China (China)
National Synchrotron Radiation Research Center, Hsinchu (Taiwan)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

We uncover high-order harmonics and the reverse of the squaring-up process, in terms of analyzing the evolution of magnetic orders in a centrosymmetric layered triangular-lattice magnet HoPdAl₄⁢Ge₂, based on a detailed study of the crystal structure, magnetic susceptibility, magnetization, heat capacity, and magnetic structure. Temperature dependencies of magnetic susceptibility and heat capacity show two magnetic transitions at T_N = 10.5 K and T_t = 5.5 K. Below T_N, Ho³⁺ spins order antiferromagnetically as a transverse spin-density wave with the propagation vector k₁ = (001.5 – δ) with δ ≈ 0.18. Upon further cooling through T_t, the high-order harmonics with k_n = (001.5 – nδ), n = 3, 5, 7 develop, suggesting a squaring-up process. It is surprising that the squaring-up process does not continue down to 0 K but reverses the trend below 3 K. Magnetic-field-induced metastable transitions were observed in M⁡(H) curves with the fields applied both parallel and perpendicular to the triangular-lattice plane. Neutron-diffraction results suggest that the magnetization process in HoPdAl₄⁢Ge₂ involves the conversion of k_n = (001.5 – n⁢δ) with n = 1, 3, 5, 7, to a ferromagnetic k_F = (000) component. It is worth noting that the already weak seventh harmonic magnetic peak is enhanced by applying a small magnetic field in the ab plane at 1.5 K or warming up to 3 K, accompanied by a slight decrease of δ.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2439853

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 13 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (48)

Introduction to Frustrated Magnetism Lacroix, Claudine; Mendels, Philippe; Mila, Frédéric Springer Series in Solid-State Sciences https://doi.org/10.1007/978-3-642-10589-0	book	January 2011
The high-resolution powder diffractometer at the high flux isotope reactor Garlea, V. O.; Chakoumakos, B. C.; Moore, S. A. Applied Physics A, Vol. 99, Issue 3 https://doi.org/10.1007/s00339-010-5603-6	journal	March 2010
Specific heat and modulated magnetic structures in the HoNi0.5Cu0.5 and ErNi0.6Cu0.4 compounds Gignoux, D.; Gomez-Sal, J. C.; Lemaire, R. Solid State Communications, Vol. 21, Issue 7 https://doi.org/10.1016/0038-1098(77)90833-X	journal	February 1977
Field induced magnetic structures in TbNi2Si2 Blanco, J. A.; Gignoux, D.; Schmitt, D. Journal of Magnetism and Magnetic Materials, Vol. 97, Issue 1-3 https://doi.org/10.1016/0304-8853(91)90154-3	journal	June 1991
Field induced magnetic structures in hexagonal HoAlGa Ball, A. R.; Gignoux, D.; Schmitt, D. Journal of Magnetism and Magnetic Materials, Vol. 110, Issue 3 https://doi.org/10.1016/0304-8853(92)90221-9	journal	May 1992
Commensurability versus incommensurability in rare earth intermetallic compounds Gignoux, D.; Schmitt, D. Journal of Magnetism and Magnetic Materials, Vol. 129, Issue 1 https://doi.org/10.1016/0304-8853(94)90429-4	journal	January 1994
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
Antiferromagnetic order in TbFe2Al10 and DyFe2Al10 Reehuis, M.; Fehrmann, B.; Wolff, M. W. Physica B: Condensed Matter, Vol. 276-278 https://doi.org/10.1016/S0921-4526(99)01787-1	journal	March 2000
Evolution of the magnetic structure of TbRu2Al10 in applied field White, R.; Hutchison, W. D.; Mizushima, T. Journal of Alloys and Compounds, Vol. 679 https://doi.org/10.1016/j.jallcom.2016.04.039	journal	September 2016
Magnetic ordering in GdAuAl4Ge2 and TbAuAl4Ge2: Layered compounds with triangular lanthanide nets Feng, Keke; Leahy, Ian Andreas; Oladehin, Olatunde Journal of Magnetism and Magnetic Materials, Vol. 564 https://doi.org/10.1016/j.jmmm.2022.170006	journal	December 2022
Wombat: The high-intensity powder diffractometer at the OPAL reactor Studer, Andrew J.; Hagen, Mark E.; Noakes, Terrence J. Physica B: Condensed Matter, Vol. 385-386 https://doi.org/10.1016/j.physb.2006.05.323	journal	November 2006
Topological hall transport: Materials, mechanisms and potential applications Wang, Han; Dai, Yingying; Chow, Gan-Moog Progress in Materials Science, Vol. 130 https://doi.org/10.1016/j.pmatsci.2022.100971	journal	October 2022
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
Electronic in-plane symmetry breaking at field-tuned quantum criticality in CeRhIn5 Ronning, F.; Helm, T.; Shirer, K. R. Nature, Vol. 548, Issue 7667 https://doi.org/10.1038/nature23315	journal	August 2017
Skyrmion phase and competing magnetic orders on a breathing kagomé lattice Hirschberger, Max; Nakajima, Taro; Gao, Shang Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13675-4	journal	December 2019
Tunable emergent heterostructures in a prototypical correlated metal Fobes, D. M.; Zhang, S.; Lin, S. -Z. Nature Physics, Vol. 14, Issue 5 https://doi.org/10.1038/s41567-018-0060-9	journal	March 2018
Quantum-critical phase from frustrated magnetism in a strongly correlated metal Zhao, Hengcan; Zhang, Jiahao; Lyu, Meng Nature Physics, Vol. 15, Issue 12 https://doi.org/10.1038/s41567-019-0666-6	journal	September 2019
A suite-level review of the neutron powder diffraction instruments at Oak Ridge National Laboratory Calder, S.; An, K.; Boehler, R. Review of Scientific Instruments, Vol. 89, Issue 9 https://doi.org/10.1063/1.5033906	journal	September 2018
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 Proceedings of the National Academy of Sciences, Vol. 119, Issue 51 https://doi.org/10.1073/pnas.2211193119	journal	December 2022
Analysis and visualisation of neutron-scattering data Richard, D.; Ferrand, M.; Kearley, G. J. Journal of Neutron Research, Vol. 4, Issue 1 https://doi.org/10.1080/10238169608200065	journal	December 1996
Magnetic phase transitions in TbFe₂Al₁₀, HoFe₂Al₁₀and ErFe₂Al₁₀ Reehuis, M.; Wolff, M. W.; Krimmel, A. Journal of Physics: Condensed Matter, Vol. 15, Issue 10 https://doi.org/10.1088/0953-8984/15/10/323	journal	March 2003
Investigations of the singlet ground state system: PrIrSi ₃ Anand, V. K.; Adroja, D. T.; Bhattacharyya, A. Journal of Physics: Condensed Matter, Vol. 26, Issue 30 https://doi.org/10.1088/0953-8984/26/30/306001	journal	July 2014
Multiple surface states, nontrivial band topology, and antiferromagnetism in GdAuAl₄Ge₂ Zhang, Chengcheng; Wang, Yuan; Zhang, Fayuan Chinese Physics B, Vol. 32, Issue 7 https://doi.org/10.1088/1674-1056/acca0e	journal	June 2023
SIKA—the multiplexing cold-neutron triple-axis spectrometer at ANSTO Wu, C. -M.; Deng, G.; Gardner, J. S. Journal of Instrumentation, Vol. 11, Issue 10 https://doi.org/10.1088/1748-0221/11/10/P10009	journal	October 2016
Field-induced magnetic states in the metallic rare-earth layered triangular antiferromagnet TbAuAl4Ge2 Leahy, Ian A.; Feng, Keke; Dery, Roei Physical Review B, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevB.106.094426	journal	September 2022
Competition between commensurate and incommensurate phases in rare-earth systems: Effects onH-Tmagnetic phase diagrams Gignoux, D.; Schmitt, D. Physical Review B, Vol. 48, Issue 17 https://doi.org/10.1103/PhysRevB.48.12682	journal	November 1993
Magnetic structure ofNpPd2Al3: Relevance to the coexistence of superconductivity and magnetism inUPd2Al3 Hiess, A.; Bourdarot, F.; Burlet, P. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.1138	journal	January 1997
Magnetic order and crystal structure in the superconducting RNi 2 B 2 C materials Lynn, J. W.; Skanthakumar, S.; Huang, Q. Physical Review B, Vol. 55, Issue 10 https://doi.org/10.1103/PhysRevB.55.6584	journal	March 1997
Magnetic field and temperature dependence of the amplitude-modulated magnetic structure ofPrNi2Si2determined by single-crystal neutron diffraction Blanco, J. A.; Fåk, B.; Ressouche, E. Physical Review B, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevB.82.054414	journal	August 2010
Approaching quantum criticality in a partially geometrically frustrated heavy-fermion metal Fritsch, V.; Bagrets, N.; Goll, G. Physical Review B, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevB.89.054416	journal	February 2014
Electronic nature of the lock-in magnetic transition in Ce X Al 4 Si 2 Gunasekera, J.; Harriger, L.; Dahal, A. Physical Review B, Vol. 93, Issue 15 https://doi.org/10.1103/PhysRevB.93.155151	journal	April 2016
Dynamical splitting of cubic crystal field levels in rare-earth cage compounds Amara, Mehdi Physical Review B, Vol. 99, Issue 17 https://doi.org/10.1103/PhysRevB.99.174405	journal	May 2019
Quantum Bicriticality in the Heavy-Fermion Metamagnet YbAgGe Tokiwa, Y.; Garst, M.; Gegenwart, P. Physical Review Letters, Vol. 111, Issue 11 https://doi.org/10.1103/PhysRevLett.111.116401	journal	September 2013
Enhanced Hybridization Sets the Stage for Electronic Nematicity in CeRhIn 5 Rosa, P. F. S.; Thomas, S. M.; Balakirev, F. F. Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRevLett.122.016402	journal	January 2019
Geometrical Frustration in the Ferromagnetic Pyrochlore Ho 2 Ti 2 O 7 Harris, M. J.; Bramwell, S. T.; McMorrow, D. F. Physical Review Letters, Vol. 79, Issue 13 https://doi.org/10.1103/PhysRevLett.79.2554	journal	September 1997
Electronic structure and magnetism in the layered triangular lattice compound CeAuAl4Ge2 Zhang, S.; Aryal, N.; Huang, K. Physical Review Materials, Vol. 1, Issue 4 https://doi.org/10.1103/PhysRevMaterials.1.044404	journal	September 2017
Magnetic-field and composition tuned antiferromagnetic instability in the quantum spin-liquid candidate NaYb O 2 Guo, Jie; Zhao, Xinguo; Ohira-Kawamura, Seiko Physical Review Materials, Vol. 4, Issue 6 https://doi.org/10.1103/PhysRevMaterials.4.064410	journal	June 2020
Magnetic symmetry in the Bilbao Crystallographic Server: a computer program to provide systematic absences of magnetic neutron diffraction Gallego, Samuel V.; Tasci, Emre S.; de la Flor, Gemma Journal of Applied Crystallography, Vol. 45, Issue 6 https://doi.org/10.1107/S0021889812042185	journal	November 2012
Rietveld refinement guidelines McCusker, L. B.; Von Dreele, R. B.; Cox, D. E. Journal of Applied Crystallography, Vol. 32, Issue 1 https://doi.org/10.1107/S0021889898009856	journal	February 1999
ECHIDNA: a decade of high-resolution neutron powder diffraction at OPAL Avdeev, Maxim; Hester, James R. Journal of Applied Crystallography, Vol. 51, Issue 6 https://doi.org/10.1107/S1600576718014048	journal	November 2018
Characteristic signatures of quantum criticality driven by geometrical frustration Tokiwa, Yoshifumi; Stingl, Christian; Kim, Moo-Sung Science Advances, Vol. 1, Issue 3 https://doi.org/10.1126/sciadv.1500001	journal	April 2015
Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet Kurumaji, Takashi; Nakajima, Taro; Hirschberger, Max Science, Vol. 365, Issue 6456 https://doi.org/10.1126/science.aau0968	journal	August 2019
Realization of the kagome spin ice state in a frustrated intermetallic compound Zhao, Kan; Deng, Hao; Chen, Hua Science, Vol. 367, Issue 6483 https://doi.org/10.1126/science.aaw1666	journal	March 2020
Current Status of the Taiwanese Cold Triple Axis Spectrometer, SIKA, at ANSTO Yano, S.; Iles, G. N.; Peng, J. -Ch. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques, Vol. 14, Issue S1 https://doi.org/10.1134/S1027451020070514	journal	October 2020
Neutron Diffraction Study of PrCo₂Si₂in Pulsed High Magnetic Field Nojiri, Hiroyuki; Uchi, Makoto; Watamura, Sigeki Journal of the Physical Society of Japan, Vol. 60, Issue 7 https://doi.org/10.1143/JPSJ.60.2380	journal	July 1991
Symmetry-Based Computational Tools for Magnetic Crystallography Perez-Mato, J. M.; Gallego, S. V.; Tasci, E. S. Annual Review of Materials Research, Vol. 45, Issue 1 https://doi.org/10.1146/annurev-matsci-070214-021008	journal	July 2015
Extending the knowledge on the quaternary rare earth nickel aluminum germanides of the RENiAl4Ge2 series (RE=Y, Sm, Gd–Tm, Lu) – structural, magnetic and NMR-spectroscopic investigations Witt, Melina; Bönnighausen, Judith; Eustermann, Fabian Zeitschrift für Naturforschung B, Vol. 75, Issue 1-2 https://doi.org/10.1515/znb-2019-0176	journal	February 2020
Thermodynamic Investigation of Metamagnetic Transitions and Partial Disorder in the Quasi-Kagome Kondo Lattice CePdAl Mochidzuki, Kenji; Shimizu, Yusei; Kondo, Akihiro Journal of the Physical Society of Japan, Vol. 86, Issue 3 https://doi.org/10.7566/JPSJ.86.034709	journal	March 2017

Similar Records

Frustrated magnetism in the layered triangular lattice materials K₂Co(SeO₃)₂ and Rb₂Co(SeO₃)₂

Journal Article · 2020 · Physical Review Materials · OSTI ID:1803707

Zhong, Ruidan; Guo, Shu; Cava, R. J.

Magnetic excitations in the spin-1/2 triangular-lattice antiferromagnet Cs₂CuBr₄

Journal Article · 2015 · New Journal of Physics · OSTI ID:1240588

Zvyagin, S. A.; Ozerov, M.; Kamenskyi, D.; +8 more

Field-induced magnetic transition and spin fluctuations in the quantum spin-liquid candidate

{CsYbSe}_{2}

Journal Article · 2019 · Physical Review B · OSTI ID:1606711

Xing, Jie; Sanjeewa, Liurukara D.; Kim, Jungsoo; +3 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
antiferromagnets
magnetic systems
magnetic techniques
magnetization measurements
neutron diffraction
neutron techniques
rare-earth magnetic materials
single crystal materials
x-ray diffraction

Title: High-order harmonics and the reverse of the squaring up process in the triangular-lattice magnet HoPdAl4⁢Ge2

Citation Formats

References (48)

Similar Records

Related Subjects

Title: High-order harmonics and the reverse of the squaring up process in the triangular-lattice magnet HoPdAl₄⁢Ge₂