Critical behavior of the van der Waals bonded ferromagnet Fe3-xGeTe2

Liu, Yu; Ivanovski, V. N.; Petrovic, C.

doi:10.1103/PhysRevB.96.144429

Critical behavior of the van der Waals bonded ferromagnet ${Fe}_{3 - x} {GeTe}_{2}$

Journal Article · Sun Oct 29 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.96.144429· OSTI ID:1425051

Liu, Yu ^[1]; Ivanovski, V. N. ^[2]; Petrovic, C. ^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of Belgrade (Serbia)

The critical properties of the single-crystalline van der Waals bonded ferromagnet Fe_3-xGeTe₂ were investigated by bulk dc magnetization around the paramagnetic to ferromagnetic (FM) phase transition. The Fe_3-xGeTe₂ single crystals grown by self-flux method with Fe deficiency x ≈ 0.36 exhibit bulk FM ordering below T_c = 152 K. The Mössbauer spectroscopy was used to provide information on defects and local atomic environment in such crystals. Critical exponents β = 0.372(4) with a critical temperature T_c= 151.25(5) K and γ = 1.265(15) with T_c = 151.17(12) K are obtained by the Kouvel-Fisher method, whereas δ = 4.50 ( 1 ) is obtained by a critical isotherm analysis at T_c = 151 K. These critical exponents obey the Widom scaling relation δ = 1 + γ / β , indicating self-consistency of the obtained values. With these critical exponents the isotherm M(H) curves below and above the critical temperatures collapse into two independent universal branches, obeying the single scaling equation m = f±(h), where m and h are renormalized magnetization and field, respectively. The exponents determined in this study are close to those calculated from the results of the renormalization group approach for a heuristic model of three-dimensional Heisenberg (d = 3,n = 3) spins coupled with the attractive long-range interactions between spins that decay as J(r) ≈ r^-(3+σ) with σ = 1.89.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0012704

OSTI ID:: 1425051

Report Number(s):: BNL-114855-2017-JAAM

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 14 Vol. 96; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (40)

Fe3GeTe2 and Ni3GeTe2 — Two New Layered Transition-Metal Compounds: Crystal Structures, HRTEM Investigations, and Magnetic and Electrical Properties. Deiseroth, Hans-Joerg; Aleksandrov, Krasimir; Reiner, Christof ChemInform, Vol. 37, Issue 26 https://doi.org/10.1002/chin.200626003	journal	June 2006
Fe3GeTe2 and Ni3GeTe2 – Two New Layered Transition-Metal Compounds: Crystal Structures, HRTEM Investigations, and Magnetic and Electrical Properties Deiseroth, Hans-Jörg; Aleksandrov, Krasimir; Reiner, Christof European Journal of Inorganic Chemistry, Vol. 2006, Issue 8 https://doi.org/10.1002/ejic.200501020	journal	April 2006
On a generalised approach to first and second order magnetic transitions Banerjee, B. K. Physics Letters, Vol. 12, Issue 1 https://doi.org/10.1016/0031-9163(64)91158-8	journal	September 1964
Magnetic properties of crystallineand amorphous alloys: A systematic discussion based on the Rhodes-Wohlfarth plot Wohlfarth, E. P. Journal of Magnetism and Magnetic Materials, Vol. 7, Issue 1-4 https://doi.org/10.1016/0304-8853(78)90163-4	journal	January 1978
Recent progress in the theory of itinerant electron magnetism Moriya, Tôru Journal of Magnetism and Magnetic Materials, Vol. 14, Issue 1 https://doi.org/10.1016/0304-8853(79)90201-4	journal	December 1979
Ferromagnetic Order, Strong Magnetocrystalline Anisotropy, and Magnetocaloric Effect in the Layered Telluride Fe _3−δ GeTe ₂ Verchenko, Valeriy Yu.; Tsirlin, Alexander A.; Sobolev, Alexei V. Inorganic Chemistry, Vol. 54, Issue 17 https://doi.org/10.1021/acs.inorgchem.5b01260	journal	August 2015
Recent Advances in Two-Dimensional Materials beyond Graphene Bhimanapati, Ganesh R.; Lin, Zhong; Meunier, Vincent ACS Nano, Vol. 9, Issue 12 https://doi.org/10.1021/acsnano.5b05556	journal	October 2015
Coupling of Crystal Structure and Magnetism in the Layered, Ferromagnetic Insulator CrI ₃ McGuire, Michael A.; Dixit, Hemant; Cooper, Valentino R. Chemistry of Materials, Vol. 27, Issue 2 https://doi.org/10.1021/cm504242t	journal	January 2015
Giant Magnetic Anisotropy of Transition-Metal Dimers on Defected Graphene Hu, Jun; Wu, Ruqian Nano Letters, Vol. 14, Issue 4 https://doi.org/10.1021/nl404627h	journal	March 2014
Van der Waals heterostructures Geim, A. K.; Grigorieva, I. V. Nature, Vol. 499, Issue 7459, p. 419-425 https://doi.org/10.1038/nature12385	journal	July 2013
The chemistry of two-dimensional layered transition metal dichalcogenide nanosheets Chhowalla, Manish; Shin, Hyeon Suk; Eda, Goki Nature Chemistry, Vol. 5, Issue 4, p. 263-275 https://doi.org/10.1038/nchem.1589	journal	April 2013
Critical behavior of the van der Waals bonded high T C ferromagnet Fe3GeTe2 Liu, Bingjie; Zou, Youming; Zhou, Shiming Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-06671-5	journal	July 2017
Critical phenomenon of the near room temperature skyrmion material FeGe Zhang, Lei; Han, Hui; Ge, Min Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep22397	journal	February 2016
Robust intrinsic ferromagnetism and half semiconductivity in stable two-dimensional single-layer chromium trihalides Zhang, Wei-Bing; Qu, Qian; Zhu, Peng Journal of Materials Chemistry C, Vol. 3, Issue 48 https://doi.org/10.1039/C5TC02840J	journal	January 2015
Ultrathin nanosheets of CrSiTe ₃ : a semiconducting two-dimensional ferromagnetic material Lin, Ming-Wei; Zhuang, Houlong L.; Yan, Jiaqiang Journal of Materials Chemistry C, Vol. 4, Issue 2 https://doi.org/10.1039/C5TC03463A	journal	January 2016
Strong spin-lattice coupling in CrSiTe ₃ Casto, L. D.; Clune, A. J.; Yokosuk, M. O. APL Materials, Vol. 3, Issue 4 https://doi.org/10.1063/1.4914134	journal	April 2015
The theory of equilibrium critical phenomena Fisher, M. E. Reports on Progress in Physics, Vol. 30, Issue 2 https://doi.org/10.1088/0034-4885/30/2/306	journal	July 1967
The theory of equilibrium critical phenomena Fisher, M. E. Reports on Progress in Physics, Vol. 31, Issue 1 https://doi.org/10.1088/0034-4885/31/1/508	journal	January 1968
Universal window for two-dimensional critical exponents Taroni, A.; Bramwell, S. T.; Holdsworth, P. C. W. Journal of Physics: Condensed Matter, Vol. 20, Issue 27 https://doi.org/10.1088/0953-8984/20/27/275233	journal	June 2008
Competing antiferromagnetism in a quasi-2D itinerant ferromagnet: Fe ₃ GeTe ₂ Yi, Jieyu; Zhuang, Houlong; Zou, Qiang 2D Materials, Vol. 4, Issue 1 https://doi.org/10.1088/2053-1583/4/1/011005	journal	November 2016
Criterion for Ferromagnetism from Observations of Magnetic Isotherms Arrott, Anthony Physical Review, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRev.108.1394	journal	December 1957
Detailed Magnetic Behavior of Nickel Near its Curie Point Kouvel, James S.; Fisher, Michael E. Physical Review, Vol. 136, Issue 6A https://doi.org/10.1103/PhysRev.136.A1626	journal	December 1964
Critical exponents from field theory Le Guillou, J. C.; Zinn-Justin, J. Physical Review B, Vol. 21, Issue 9 https://doi.org/10.1103/PhysRevB.21.3976	journal	May 1980
Critical behavior at paramagnetic to ferromagnetic phase transition in Pr 0.5 Sr 0.5 MnO 3 : A bulk magnetization study Pramanik, A. K.; Banerjee, A. Physical Review B, Vol. 79, Issue 21 https://doi.org/10.1103/PhysRevB.79.214426	journal	June 2009
Magnetic ground state of semiconducting transition-metal trichalcogenide monolayers Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert H. Physical Review B, Vol. 91, Issue 23 https://doi.org/10.1103/PhysRevB.91.235425	journal	June 2015
Computational discovery of ferromagnetic semiconducting single-layer CrSnTe 3 Zhuang, Houlong L.; Xie, Yu; Kent, P. R. C. Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035407	journal	July 2015
Magnetic structure and phase stability of the van der Waals bonded ferromagnet Fe 3 − x GeTe 2 May, Andrew F.; Calder, Stuart; Cantoni, Claudia Physical Review B, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevB.93.014411	journal	January 2016
Strong anisotropy and magnetostriction in the two-dimensional Stoner ferromagnet Fe 3 GeTe 2 Zhuang, Houlong L.; Kent, P. R. C.; Hennig, Richard G. Physical Review B, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevB.93.134407	journal	April 2016
Electronic correlation and magnetism in the ferromagnetic metal Fe 3 GeTe 2 Zhu, Jian-Xin; Janoschek, Marc; Chaves, D. S. Physical Review B, Vol. 93, Issue 14 https://doi.org/10.1103/PhysRevB.93.144404	journal	April 2016
Tricritical behavior of the two-dimensional intrinsically ferromagnetic semiconductor CrGeTe 3 Lin, G. T.; Zhuang, H. L.; Luo, X. Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevB.95.245212	journal	June 2017
Approximate Equation of State For Nickel Near its Critical Temperature Arrott, Anthony; Noakes, John E. Physical Review Letters, Vol. 19, Issue 14 https://doi.org/10.1103/PhysRevLett.19.786	journal	October 1967
Critical Exponents for Long-Range Interactions Fisher, Michael E.; Ma, Shang-keng; Nickel, B. G. Physical Review Letters, Vol. 29, Issue 14 https://doi.org/10.1103/PhysRevLett.29.917	journal	October 1972
The renormalization group in the theory of critical behavior Fisher, Michael E. Reviews of Modern Physics, Vol. 46, Issue 4 https://doi.org/10.1103/RevModPhys.46.597	journal	October 1974
Magnetic ground state of semiconducting transition metal trichalcogenide monolayers Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert Carnegie Mellon University https://doi.org/10.1184/r1/6507131.v1	text	January 2015
Universal Window for Two Dimensional Critical Exponents Taroni, Andrea; Bramwell, Steven T.; Holdsworth, Peter C. W. arXiv https://doi.org/10.48550/arxiv.0802.0480	text	January 2008
Giant magnetic anisotropy of transition-metal dimers on defected graphene Hu, Jun; Wu, Ruqian arXiv https://doi.org/10.48550/arxiv.1305.5978	text	January 2013
Magnetic ground state of semiconducting transition metal trichalcogenide monolayers Sivadas, Nikhil; Daniels, Matthew W.; Swendsen, Robert H. arXiv https://doi.org/10.48550/arxiv.1503.00412	text	January 2015
Robust Intrinsic Ferromagnetism and Half Semiconductivity in Stable Two-Dimensional Single-Layer Chromium Trihalides Zhang, Wei-Bing; Qu, Qian; Zhu, Peng arXiv https://doi.org/10.48550/arxiv.1507.07275	text	January 2015
Magnetic Properties of Layered Itinerant Electron Ferromagnet Fe ₃ GeTe ₂ Chen, Bin; Yang, JinHu; Wang, HangDong Journal of the Physical Society of Japan, Vol. 82, Issue 12 https://doi.org/10.7566/JPSJ.82.124711	journal	December 2013
Magnetic anisotropy of the single-crystalline ferromagnetic insulator Cr ₂ Ge ₂ Te ₆ Zhang, Xiao; Zhao, Yuelei; Song, Qi Japanese Journal of Applied Physics, Vol. 55, Issue 3 https://doi.org/10.7567/JJAP.55.033001	journal	February 2016

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Anisotropic magnetocaloric effect in Fe3−xGeTe2 Liu, Yu; Li, Jun; Tao, Jing Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-49654-4	journal	September 2019
Critical properties of the quasi-two-dimensional metallic ferromagnet Fe _2.85 GeTe ₂ Mao, Qianhui; Chen, Bin; Yang, Jinhu Journal of Physics: Condensed Matter, Vol. 30, Issue 34 https://doi.org/10.1088/1361-648x/aad43b	journal	August 2018
Field-dependent anisotropic magnetic coupling in layered ferromagnetic Fe 3 − x GeTe 2 Liu, Wei; Wang, Yamei; Fan, Jiyu Physical Review B, Vol. 100, Issue 10 https://doi.org/10.1103/physrevb.100.104403	journal	September 2019
Angular dependence of the topological Hall effect in the uniaxial van der Waals ferromagnet Fe 3 GeTe 2 You, Yurong; Gong, Yuanyuan; Li, Hang Physical Review B, Vol. 100, Issue 13 https://doi.org/10.1103/physrevb.100.134441	journal	October 2019
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Magnetic Properties of Proton Irradiated Mn3Si2Te6 van der Waals Single Crystals Martinez, L. M.; Saiz, C. L.; Cosio, A. MRS Advances, Vol. 4, Issue 40 https://doi.org/10.1557/adv.2019.260	journal	January 2019
Magnetic Properties of Proton Irradiated Fe2.7GeTe2 Bulk Crystals Olmos, R.; Cosio, A.; Saiz, C. L. MRS Advances, Vol. 4, Issue 40 https://doi.org/10.1557/adv.2019.277	journal	January 2019
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