Recent advances in two-dimensional van der Waals magnets

Abstract

Two-dimensional (2D) magnets have evoked tremendous interest within the research community due to their fascinating features and novel mechanisms, as well as their potential applications in magnetic nanodevices. In this review, state-of-the-art research into the exploration of 2D magnets from the perspective of their magnetic interaction and order mechanisms is discussed. The properties of these magnets can be effectively modulated by varying the external parameters, such as the charge carrier doping, thickness effect, pressure and strain. The potential applications of heterostructures of these 2D magnets in terms of the interlayer coupling strength are reviewed, and the challenges and outlook for this field are proposed.

Keywords

Two-dimensional (2D) ferromagnetism / van der Waals (vdW) crystal / magnetic interaction / physical properties

References

[1] Novoselov KS,Morozov SV.Electric field effect in atomically thin carbon films.Science2004;306:666-9

[2] Novoselov KS,Carvalho A.2D materials and van der Waals heterostructures.Science2016;353:aac9439

[3] Nikonov KS,Egorysheva AV,Fedorov VA.Chemical vapor transport growth of vanadium(IV) selenide and vanadium(IV) telluride single crystals.Inorg Mater2017;53:1126-30

[4] Chen B,Wang H.Magnetic properties of layered itinerant electron ferromagnet Fe₃ GeTe₂.J Phys Soc Jpn2013;82:124711

[5] Zhang X,Song Q,Shi J.Magnetic anisotropy of the single-crystalline ferromagnetic insulator Cr₂ Ge₂ Te₆.Jpn J Appl Phys2016;55:033001

[6] Wang Z,Taniguchi T,Mandrus D.Tunneling spin valves based on Fe₃GeTe₂/hBN/Fe₃GeTe₂ van der Waals heterostructures.Nano Lett2018;18:4303-8

[7] Liu C,Li H.Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator.Nat Mater2020;19:522-7

[8] Kong T,Timmons EI.VI₃-a new layered ferromagnetic semiconductor.Adv Mater2019;31:e1808074

[9] Huang C,Wu F.Toward intrinsic room-temperature ferromagnetism in two-dimensional semiconductors.J Am Chem Soc2018;140:11519-25

[10] Gong C,Li Z.Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals.Nature2017;546:265-9

[11] Otrokov MM,Bentmann H.Prediction and observation of an antiferromagnetic topological insulator.Nature2019;576:416-22

[12] Otrokov MM,Blanco-Rey M.Unique thickness-dependent properties of the van der Waals interlayer antiferromagnet MnBi₂Te₄ films.Phys Rev Lett2019;122:107202

[13] Tsen AW,Kim YD.Nature of the quantum metal in a two-dimensional crystalline superconductor.Nature Phys2016;12:208-12

[14] Song Q,Ergeçen E.Evidence for a single-layer van der Waals multiferroic.Nature2022;602:601-5

[15] Fumega AO,Dreher P.Absence of ferromagnetism in VSe₂ caused by its charge density wave phase.J Phys Chem C2019;123:27802-10

[16] Xi X,Wang Z.Strongly enhanced charge-density-wave order in monolayer NbSe₂.Nat Nanotechnol2015;10:765-9

[17] Chen L,Gao B.Topological spin excitations in honeycomb ferromagnet CrI₃.Phys Rev X2018;8

[18] Cao Q,Sang L,Liu G.Defect introduced paramagnetism and weak localization in two-dimensional metal VSe₂.Nanotechnology2017;28:475703

[19] Liu H,Zhou Z.Quasi-2D transport and weak antilocalization effect in few-layered VSe₂.Nano Lett2019;19:4551-9

[20] Wu Y,Zhang J.Néel-type skyrmion in WTe₂/Fe₃GeTe₂ van der Waals heterostructure.Nat Commun2020;11:3860 PMCID:PMC7395126

[21] Liu Y,Duan X.Van der Waals heterostructures and devices.Nat Rev Mater2016;1:1-17

[22] Thiel L,Tschudin MA.Probing magnetism in 2D materials at the nanoscale with single-spin microscopy.Science2019;364:973-6

[23] Avsar A,Guinea F,van Wees B.Colloquium: Spintronics in graphene and other two-dimensional materials.Rev Mod Phys2020;92:021003

[24] Tokura Y,Tsukazaki A.Magnetic topological insulators.Nat Rev Phys2019;1:126-43

[25] Tannous C.Magnetic information-storage materials. In: Kasap S, Capper P, editors. Springer Handbook of Electronic and Photonic Materials. Cham: Springer International Publishing; 2017. p. 1.

[26] Mcguire MA,Cooper VR.Coupling of crystal structure and magnetism in the layered, ferromagnetic insulator CrI₃.Chem Mater2015;27:612-20

[27] Banerjee A,Yan JQ.Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet.Nat Mater2016;15:733-40

[28] Zhou P,Sun LZ.Two dimensional antiferromagnetic Chern insulator: NiRuCl₆.Nano Lett2016;16:6325-30

[29] Zhang X,Wu D,Zhou Z.MnPSe₃ monolayer: a promising 2D visible-light photohydrolytic catalyst with high carrier mobility.Adv Sci (Weinh)2016;3:1600062 PMCID:PMC5096250

[30] Desai SB,Amani M.Gold-mediated exfoliation of ultralarge optoelectronically-perfect monolayers.Adv Mater2016;28:4053-8

[31] Yang K,Wu H,Radaelli PG.Magneto-optical kerr switching properties of (CrI₃ ) ₂ and (CrBr₃ /CrI₃ ) bilayers.ACS Appl Electron Mater2020;2:1373-80

[32] Zhong D,Linpeng X.Layer-resolved magnetic proximity effect in van der Waals heterostructures.Nat Nanotechnol2020;15:187-91

[33] Song T,Tu MW.Giant tunneling magnetoresistance in spin-filter van der Waals heterostructures.Science2018;360:1214-8

[34] Gong Y.Preface to the special issue on tungsten-and molybdenum-based two-dimensional materials for energy storage and conversion.Tungsten2020;2:107-8

[35] Luo G,Liu X.Preface to the special issue on plasma facing materials for fusion energy.Tungsten2019;1:121-121

[36] Jiang S,Wang Z,Mak KF.Spin tunnel field-effect transistors based on two-dimensional van der Waals heterostructures.Nat Electron2019;2:159-63

[37] Tombros N,Popinciuc M,van Wees BJ.Electronic spin transport and spin precession in single graphene layers at room temperature.Nature2007;448:571-4

[38] Sun Y,Wu X.Room-temperature ferromagnetism in two-dimensional Fe₂Si nanosheet with enhanced spin-polarization ratio.Nano Lett2017;17:2771-7

[39] Escolar J,Craciun MF.Anisotropic magnetoconductance and coulomb blockade in defect engineered Cr₂Ge₂Te₆ van der Waals heterostructures.Phys Rev B2019;100

[40] Miao GX,Moodera JS.Magnetoresistance in double spin filter tunnel junctions with nonmagnetic electrodes and its unconventional bias dependence.Phys Rev Lett2009;102:076601

[41] Alghamdi M,Li J.Highly efficient spin-orbit torque and switching of layered ferromagnet Fe₃GeTe₂.Nano Lett2019;19:4400-5

[42] Li LJ,Loh KP,Özyilmaz B.Controlling many-body states by the electric-field effect in a two-dimensional material.Nature2016;529:185-9

[43] Hu W,Stroppa A,Wu H.2D hybrid CrCl₂ (N₂C₄H₄)₂ with tunable ferromagnetic half-metallicity.J Mater Chem C2021;9:5985-91

[44] Deng Y,Song Y.Gate-tunable room-temperature ferromagnetism in two-dimensional Fe₃GeTe₂.Nature2018;563:94-9

[45] Zhang C,Sanvito S.First-principles prediction of a room-temperature ferromagnetic janus VSSe monolayer with piezoelectricity, ferroelasticity, and large valley polarization.Nano Lett2019;19:1366-70

[46] Hohenberg PC.Existence of long-range order in one and two dimensions.Phys Rev1967;158:383-6

[47] Mermin ND.Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic heisenberg models.Phys Rev Lett1966;17:1133-6

[48] Lines ME.Magnetism in two dimensions.Journal of Applied Physics1969;40:1352-8

[49] Kohlhepp J,Cordes S.Power laws of magnetization in ferromagnetic monolayers and the two-dimensional Ising model.Phys Rev B Condens Matter1992;45:12287-91

[50] Pacilé D,Girit ÇÖ.The two-dimensional phase of boron nitride: Few-atomic-layer sheets and suspended membranes.Appl Phys Lett2008;92:133107

[51] Li L,Ye GJ.Black phosphorus field-effect transistors.Nat Nanotechnol2014;9:372-7

[52] Naguib M,Presser V.Two-dimensional nanocrystals produced by exfoliation of Ti₃AlC₂.Adv Mater2011;23:4248-53

[53] Manzeli S,Pasquier D,Kis A.2D transition metal dichalcogenides.Nat Rev Mater2017;2:17033

[54] Zhuang HL,Kent PRC.Computational discovery of ferromagnetic semiconducting single-layer CrSnTe₃.Phys Rev B2015;92

[55] Ge Y,Xu Y.Broadband nonlinear photoresponse of 2D TiS₂ for ultrashort pulse generation and all-optical thresholding devices.Advanced Optical Materials2018;6:1701166

[56] Joy PA.Magnetism in the layered transition-metal thiophosphates MPS₃ (M = Mn, Fe, and Ni).Phys Rev B Condens Matter1992;46:5425-33

[57] Casto LD,Yokosuk MO.Strong spin-lattice coupling in CrSiTe₃.APL Materials2015;3:041515

[58] Lado JL.On the origin of magnetic anisotropy in two dimensional CrI₃.2D Mater2017;4:035002

[59] Grönke M,Schmidt P.Chromium trihalides Cr.X6:1901410

[60] Cai X,Wilson NP.Atomically thin CrCl₃: an in-plane layered antiferromagnetic insulator.Nano Lett2019;19:3993-8

[61] Huang B,Navarro-Moratalla E.Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit.Nature2017;546:270-3

[62] Zhou Y,Yang P.Tensile strain switched ferromagnetism in layered NbS₂ and NbSe₂.ACS Nano2012;6:9727-36

[63] Chua R,He X.Can reconstructed se-deficient line defects in monolayer VSe₂ induce magnetism?.Adv Mater2020;32:e2000693

[64] Bonilla M,Ma Y.Strong room-temperature ferromagnetism in VSe₂ monolayers on van der Waals substrates.Nat Nanotechnol2018;13:289-93

[65] Meng L,Si K,Wang J.Recent advances of phase engineering in group VI transition metal dichalcogenides.Tungsten2019;1:46-58

[66] Ding X,Ahmed S,Ding J.Enhanced ferromagnetism in WS₂ via defect engineering.Journal of Alloys and Compounds2019;772:740-4

[67] Yun SJ,Ha DM.Ferromagnetic order at room temperature in monolayer WSe₂ semiconductor via vanadium dopant.Adv Sci (Weinh)2020;7:1903076 PMCID:PMC7201245

[68] Tongay S,Appleton BR,Hebard AF.Magnetic properties of MoS₂: existence of ferromagnetism.Appl Phys Lett2012;101:123105

[69] Xia B,Liu P,Shi S.Zigzag-edge related ferromagnetism in MoSe₂ nanoflakes.Phys Chem Chem Phys2015;17:32505-10

[70] Liu W,Yang Y.Critical behavior of the single-crystalline van der Waals bonded ferromagnet Cr₂Ge₂Te₆.Phys Rev B2018;98

[71] Blei M,Song Q.Synthesis, engineering, and theory of 2D van der Waals magnets.Applied Physics Reviews2021;8:021301

[72] Park SY,Liu Y.Controlling the magnetic anisotropy of the van der Waals ferromagnet Fe₃GeTe₂ through hole doping.Nano Lett2020;20:95-100

[73] Zhang RX,Das Sarma S.Möbius insulator and higher-order topology in MnBi2nTe3n+1.Phys Rev Lett2020;124:136407

[74] Mak KF,Ralph DC.Probing and controlling magnetic states in 2D layered magnetic materials.Nat Rev Phys2019;1:646-61

[75] Zhang S,Luo N.Two-dimensional magnetic materials: structures, properties and external controls.Nanoscale2021;13:1398-424

[76] Flem G, Brec R, Ouvard G, Louisy A, Segransan P. Magnetic interactions in the layer compounds MPX₃ (M = Mn, Fe, Ni; X = S, Se).Journal of Physics and Chemistry of Solids1982;43:455-61

[77] Kim K,Lee JU.Suppression of magnetic ordering in XXZ-type antiferromagnetic monolayer NiPS₃.Nat Commun2019;10:345 PMCID:PMC6341093

[78] Menichetti G,Polini M.Electronic structure and magnetic properties of few-layer Cr₂Ge₂Te₆: the key role of nonlocal electron-electron interaction effects.2D Mater2019;6:045042

[79] Deiseroth H,Reiner C,Kremer RK.Fe₃GeTe₂ and Ni₃GeTe₂ - two new layered transition - metal compounds: crystal structures, HRTEM investigations, and magnetic and electrical properties.Eur J Inorg Chem2006;2006:1561-7

[80] Yan J,Heitmann T.Crystal growth and magnetic structure of MnBi₂Te₄.Phys Rev Materials2019;3

[81] Xue Y,Wang H.Thickness-dependent magnetotransport properties in 1T VSe₂ single crystals prepared by chemical vapor deposition.Nanotechnology2020;31:145712

[82] Kim K,Kim J.Antiferromagnetic ordering in van der Waals 2D magnetic material MnPS₃ probed by Raman spectroscopy.2D Mater2019;6:041001

[83] Yi J,Zou Q.Competing antiferromagnetism in a quasi-2D itinerant ferromagnet: Fe₃GeTe₂.2D Mater2017;4:011005

[84] Mcguire MA,Kc S.Magnetic behavior and spin-lattice coupling in cleavable van der Waals layered CrCl₃ crystals.Phys Rev Materials2017;1

[85] Qi H,Sun J.Production methods of Van der Waals heterostructures based on transition metal dichalcogenides.Crystals2018;8:35

[86] Adhikari S,Kim D.Progress in powder coating technology using Atomic layer deposition.Adv Mater Interfaces2018;5:1800581

[87] Nunn W,Jalan B.A review of molecular-beam epitaxy of wide bandgap complex oxide semiconductors.J Mater Res2021;36:4846-64

[88] Liu H,Shi JA.Observation of the kondo effect in multilayer single-crystalline VTe₂ nanoplates.Nano Lett2019;19:8572-80

[89] Bagga V.Synthesis, magnetic ordering, transport studies on spintronic device heterostructures of 2D magnetic materials: a review.Materials Today: Proceedings2020;28:1938-42

[90] Jiang H,Wang X.Synthesis of magnetic two-dimensional materials by chemical vapor deposition.Nano Res2021;14:1789-801

[91] Liu S,Zou Y.Wafer-scale two-dimensional ferromagnetic Fe₃GeTe₂ thin films grown by molecular beam epitaxy.NPJ 2D Mater Appl2017;1

[92] Huang P,Xu S,Zhang X.Recent advances in two-dimensional ferromagnetism: materials synthesis, physical properties and device applications.Nanoscale2020;12:2309-27

[93] Wu M,Cao T.Physical origin of giant excitonic and magneto-optical responses in two-dimensional ferromagnetic insulators.Nat Commun2019;10:2371 PMCID:PMC6542836

[94] Gibertini M,Morpurgo AF.Magnetic 2D materials and heterostructures.Nat Nanotechnol2019;14:408-19

[95] Gong C.& Zhang, X. Two-dimensional magnetic crystals and emergent heterostructure devices.Science2019; 363:eaav4450

[96] Kitaev A.Anyons in an exactly solved model and beyond.Ann Phys2006;321:2-111

[97] Hikami S.Phase transition of quasi-two dimensional planar system.Progress of Theoretical Physics1980;63:387-401

[98] Kosterlitz JM.Ordering, metastability and phase transitions in two-dimensional systems.J Phys C: Solid State Phys1973;6:1181-203

[99] Iwashita T.Effects of biquadratic exchange in ferromagnets.Phys Rev B1976;14:3090-6

[100] Dzyaloshinsky I.A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics.Journal of Physics and Chemistry of Solids1958;4:241-55

[101] Moriya T.Anisotropic superexchange interaction and weak ferromagnetism.Phys Rev1960;120:91-8

[102] Grechnev A,Katsnelson MI.Thermodynamics of a two-dimensional Heisenberg ferromagnet with dipolar interaction.Phys Rev B2005;71

[103] Jiang P,Chen D.Stacking tunable interlayer magnetism in bilayer CrI3.Phys Rev B2019;99

[104] Kan M,Sun Q.Ferromagnetism in MnX₂ (X = S, Se) monolayers.Phys Chem Chem Phys2014;16:4990-4

[105] Burch KS,Park JG.Magnetism in two-dimensional van der Waals materials.Nature2018;563:47-52

[106] Liu J,Sun JT.Spin-orientation-dependent topological states in Two-dimensional antiferromagnetic NiTl₂S₄ monolayers.Nano Lett2019;19:3321-6

[107] Bender SA,Tserkovnyak Y.Electronic pumping of quasiequilibrium Bose-Einstein-condensed magnons.Phys Rev Lett2012;108:246601

[108] Park T,Liang J.Néel-type skyrmions and their current-induced motion in van der Waals ferromagnet-based heterostructures.Phys Rev B2021;103

[109] Jiang J,Li R.Topological spin textures in a two-dimensional MnBi₂(Se,Te)₄ Janus material.Appl Phys Lett2021;119:072401

[110] Jiang J,Mi W.Electrical control of topological spin textures in two-dimensional multiferroics.Nanoscale2021;13:20609-14

[111] Pervishko AA,Eriksson O.Another view on Gilbert damping in two-dimensional ferromagnets.Sci Rep2018;8:17148 PMCID:PMC6249205

[112] Afanasiev D,Matthiesen M.Controlling the anisotropy of a van der Waals antiferromagnet with light.Sci Adv2021;7:eabf3096 PMCID:PMC8172129

[113] Seyler KL,Klein DR.Ligand-field helical luminescence in a 2D ferromagnetic insulator.Nature Phys2018;14:277-81

[114] Zhong D,Linpeng X.Van der Waals engineering of ferromagnetic semiconductor heterostructures for spin and valleytronics.Sci Adv2017;3:e1603113 PMCID:PMC5451195

[115] Webster L,Yan JA.Distinct spin-lattice and spin-phonon interactions in monolayer magnetic CrI₃.Phys Chem Chem Phys2018;20:23546-55

[116] Katanin A.Quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities.Phys Rev B2010;81

[117] Yazyev OV,Louie SG.Theory of magnetic edge states in chiral graphene nanoribbons.Phys Rev B2011;84

[118] Seyler KL,Huang B.Valley manipulation by optically tuning the magnetic proximity effect in WSe₂/CrI₃ heterostructures.Nano Lett2018;18:3823-8

[119] Dolui K,Sanvito S.Electric field effects on armchair MoS₂ nanoribbons.ACS Nano2012;6:4823-34

[120] Tian Y,Henriksen EA,Yang L.Optically driven magnetic phase transition of monolayer RuCl₃.Nano Lett2019;19:7673-80

[121] Tian S,Li C.Ferromagnetic van der Waals crystal VI₃.J Am Chem Soc2019;141:5326-33

[122] Ersan F,Sarikurt S.Exploring the electronic and magnetic properties of new metal halides from bulk to two-dimensional monolayer: RuX₃ (X = Br, I).Journal of Magnetism and Magnetic Materials2019;476:111-9

[123] Tartaglia TA,Lado JL.Accessing new magnetic regimes by tuning the ligand spin-orbit coupling in van der Waals magnets.Sci Adv2020;6:eabb9379 PMCID:PMC7439302

[124] Zhang Z,Jiang C,Gao W.Direct photoluminescence probing of ferromagnetism in monolayer two-dimensional CrBr₃.Nano Lett2019;19:3138-42

[125] Liu J,Kawazoe Y.Exfoliating biocompatible ferromagnetic Cr-trihalide monolayers.Phys Chem Chem Phys2016;18:8777-84

[126] Ren Y,Wan W,Ge Y.High-temperature ferromagnetic semiconductors: Janus monolayer vanadium trihalides.Phys Rev B2020;101

[127] Yaresko AN.Electronic band structure and exchange coupling constants in ACr₂X₄ spinels (A=Zn , Cd, Hg; X=O , S, Se).Phys Rev B2008;77

[128] Bedoya-Pinto A,Pandeya AK.Intrinsic 2D-XY ferromagnetism in a van der Waals monolayer.Science2021;374:616-20

[129] Ubrig N,Teyssier J.Low-temperature monoclinic layer stacking in atomically thin CrI₃ crystals.2D Mater2019;7:015007

[130] Torelli D.Calculating critical temperatures for ferromagnetic order in two-dimensional materials.2D Mater2019;6:015028

[131] Chen L,Stone MB.Magnetic Field Effect on Topological Spin Excitations in CrI₃.Phys Rev X2021;11

[132] Li R,Shi X,Bai H.Two-dimensional Janus FeXY (X, Y = Cl, Br, and I, X ≠ Y) monolayers: half-metallic ferromagnets with tunable magnetic properties under strain.ACS Appl Mater Interfaces2021;13:38897-905

[133] Qi S,Wang X.Valley polarization, magnetic anisotropy and Dzyaloshinskii-Moriya interaction of two-dimensional graphene/Janus 2H-VSeX(X = S, Te) heterostructures.Carbon2021;174:540-55

[134] Fu L,Zhou B.Prediction of high spin polarization and perpendicular magnetic anisotropy in two dimensional ferromagnetic Mn2CXX’ (X, X′=F, Cl, Br, I) Janus monolayers.Physica E: Low-dimensional Systems and Nanostructures2021;134:114932

[135] Zhang F,Wang X.Spin-dependent electronic structure and magnetic anisotropy of 2D ferromagnetic janus Cr₂I₃.X6:1900778

[136] Xu Y,Mi W.Electronic structure and magnetic properties of two-dimensional h-BN/Janus 2H-VSe_X (X = S, Te) van der Waals heterostructures.Applied Surface Science2021;537:147898

[137] Li R,Mi W.Room temperature spontaneous valley polarization in two-dimensional FeClBr monolayer.Nanoscale2021;13:14807-13

[138] Fu L,Mi W.Spin-dependent electronic structure and magnetic properties of 2D JANUS Mn₂CFCl/CuBiP₂ Se₆ Van Der Waals multiferroic heterostructures.Adv Theory Simul2021;4:2100302

[139] Liang J,Du H.Very large Dzyaloshinskii-Moriya interaction in two-dimensional Janus manganese dichalcogenides and its application to realize skyrmion states.Phys Rev B2020;101

[140] Qi S,Mi W.Tunable valley polarization, magnetic anisotropy and Dzyaloshinskii-Moriya interaction in two-dimensional intrinsic ferromagnetic Janus 2H-VSe_X (X = S, Te) monolayers.Phys Chem Chem Phys2020;22:23597-608

[141] Son S,Lee N.Bulk properties of the van der Waals hard ferromagnet VI3.Phys Rev B2019;99

[142] Ramasubramaniam A.Mn-doped monolayer MoS₂: an atomically thin dilute magnetic semiconductor.Phys Rev B2013;87

[143] Yu W,Herng TS.Chemically exfoliated VSe₂ monolayers with room-temperature ferromagnetism.Adv Mater2019;31:e1903779

[144] Lee S,Kim J.Tuning the charge density wave quantum critical point and the appearance of superconductivity in TiSe₂.Phys Rev Research2021;3

[145] Liu Z,Shao Y.Epitaxially grown monolayer VSe₂: an air-stable magnetic two-dimensional material with low work function at edges.Science Bulletin2018;63:419-25

[146] Wei S,Wang C.Emerging intrinsic magnetism in two-dimensional materials: theory and applications.2D Mater2020;8:012005

[147] Zhang W,Jiang J.Magnetism and magnetocrystalline anisotropy in single-layer PtSe₂: interplay between strain and vacancy.Journal of Applied Physics2016;120:013904

[148] Zhang H,Yang Y.Strain engineering the magnetic states of vacancy-doped monolayer MoSe₂.Journal of Alloys and Compounds2015;635:307-13

[149] Fuh H,Wu S,Chang C.Metal-insulator transition and the anomalous hall effect in the layered magnetic materials VS₂ and VSe₂.New J Phys2016;18:113038

[150] Mishra R,Pennycook SJ,Idrobo J.Long-range ferromagnetic ordering in manganese-doped two-dimensional dichalcogenides.Phys Rev B2013;88

[151] Wang Y,Yi J.Electronic and magnetic properties of Co doped MoS₂ monolayer.Sci Rep2016;6:24153 PMCID:PMC4823719

[152] Shi M,Lu J.Strain-enhanced electron mobility and mobility anisotropy in a two-dimensional vanadium diselenide monolayer.Journal of Applied Physics2019;126:044305

[153] Wang Z,Ding M.Electric-field control of magnetism in a few-layered van der Waals ferromagnetic semiconductor.Nat Nanotechnol2018;13:554-9

[154] Lee JU,Ryoo JH.Ising-type magnetic ordering in atomically thin FePS₃.Nano Lett2016;16:7433-8

[155] Chu H,Island JO.Linear magnetoelectric phase in ultrathin MnPS₃ probed by optical second harmonic generation.Phys Rev Lett2020;124:027601

[156] Wang Y,Li C.Raman scattering study of magnetic layered MPS₃ crystals ( M = Mn , Fe, Ni)*.Chinese Phys B2019;28:056301

[157] Long G,Gibertini M.Persistence of Magnetism in Atomically Thin MnPS₃ Crystals.Nano Lett2020;20:2452-9

[158] Liu S,Bhowmick D.Direct observation of magnon-phonon strong coupling in two-dimensional antiferromagnet at high magnetic fields.Phys Rev Lett2021;127:097401

[159] Kim SY,Sandilands LJ.Charge-spin correlation in van der Waals antiferromagnet NiPS_{3}.Phys Rev Lett2018;120:136402

[160] Haines CRS,Wildes AR.Pressure-induced electronic and structural phase evolution in the van der Waals compound FePS_{3}.Phys Rev Lett2018;121:266801

[161] Xu C,Xiang H.Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI3 and CrGeTe3 monolayers.npj Comput Mater2018;4

[162] Baranava M,Skachkova V,Danilyuk A.Magnetic interactions in Cr₂Ge₂Te₆ and Cr₂Si₂Te₆ monolayers: ab initio study.Materials Today: Proceedings2020;20:342-7

[163] Liu Y.Critical behavior of quasi-two-dimensional semiconducting ferromagnet Cr₂Ge₂Te₆.Phys Rev B2017;96

[164] Feng YP,Yang M.Prospects of spintronics based on 2D materials.WIREs Comput Mol Sci2017;7

[165] Dong E,Dong Q.Effects of pressure on the structure and properties of layered ferromagnetic Cr₂Ge₂Te₆.Physica B: Condensed Matter2020;595:412344

[166] Song C,Wu X.Surface-vacancy-induced metallicity and layer-dependent magnetic anisotropy energy in Cr₂Ge₂Te₆.J Appl Phys2019;126:105111

[167] Liu W,Han Y.Anisotropic magnetoresistance behaviors in the layered ferromagnetic Cr₂Ge₂Te₆.J Phys D: Appl Phys2020;53:025101

[168] Wang N,Shi M.Transition from ferromagnetic semiconductor to ferromagnetic metal with enhanced curie temperature in Cr₂Ge₂Te₆ via organic ion intercalation.J Am Chem Soc2019;141:17166-73

[169] Fang Y,Zhu Z.Large magneto-optical effects and magnetic anisotropy energy in two-dimensional Cr₂Ge₂Te₆.Phys Rev B2018;98

[170] Han MG,Liu Y.Topological magnetic-spin textures in two-dimensional van der Waals Cr₂Ge₂Te₆.Nano Lett2019;19:7859-65

[171] Tian Y,Ji H,Burch KS.Magneto-elastic coupling in a potential ferromagnetic 2D atomic crystal.2D Mater2016;3:025035

[172] Zhuang HL,Hennig RG.Strong anisotropy and magnetostriction in the two-dimensional Stoner ferromagnet Fe3GeTe2.Phys Rev B2016;93

[173] Tong Q,Yao W.Magnetic proximity effect in a van der Waals Moiré superlattice.Phys Rev Applied2019;12

[174] Qi X.Topological insulators and superconductors.Rev Mod Phys2011;83:1057-110

[175] Mogi M,Kaneko Y.Ferromagnetic insulator Cr₂Ge₂Te₆ thin films with perpendicular remanence.APL Materials2018;6:091104

[176] Tan C,Jung SG.Hard magnetic properties in nanoflake van der Waals Fe₃GeTe₂.Nat Commun2018;9:1554 PMCID:PMC5908800

[177] Wang H,Liu C.Pressure-dependent intermediate magnetic phase in thin Fe₃GeTe₂ flakes.J Phys Chem Lett2020;11:7313-9

[178] May AF,Cantoni C,Mcguire MA.Magnetic structure and phase stability of the van der Waals bonded ferromagnet Fe3-xGeTe2.Phys Rev B2016;93

[179] Fei Z,Malinowski P.Two-dimensional itinerant ferromagnetism in atomically thin Fe₃GeTe₂.Nat Mater2018;17:778-82

[180] Li Q,Gong C.Patterning-induced ferromagnetism of Fe₃GeTe₂ van der Waals materials beyond room temperature.Nano Lett2018;18:5974-80

[181] Hu X,Shen X,Chen Z.Enhanced ferromagnetism and tunable magnetism in Fe₃GeTe₂ monolayer by strain engineering.ACS Appl Mater Interfaces2020;12:26367-73

[182] Zhang Y,Zhu X.Emergence of Kondo lattice behavior in a van der Waals itinerant ferromagnet, Fe₃GeTe₂.Sci Adv2018;4:eaao6791 PMCID:PMC5770166

[183] Zhao M,Xi Y.Kondo holes in the two-dimensional itinerant ising ferromagnet Fe₃GeTe₂.Nano Lett2021;21:6117-23

[184] Wang Y,Long M.Modifications of magnetic anisotropy of Fe₃GeTe₂ by the electric field effect.Appl Phys Lett2020;116:092404

[185] Lin H,Hu C.Current-assisted magnetization reversal in Fe₃GeTe₂ van der Waals homojunctions.Nanoscale2022;14:2352-8

[186] Wu Q,Cao L.Design of metal contacts for monolayer Fe₃GeTe₂ based devices.Appl Phys Lett2019;115:083105

[187] Krstajić P,Ivanov V,Kikoin K.Double-exchange mechanisms for Mn-doped III-V ferromagnetic semiconductors.Phys Rev B2004;70

[188] Wang H,Li Z.Characteristics and temperature-field-thickness evolutions of magnetic domain structures in van der Waals magnet Fe₃GeTe₂ nanolayers.Appl Phys Lett2020;116:192403

[189] Li J,Du S.Intrinsic magnetic topological insulators in van der Waals layered MnBi₂Te₄-family materials.Sci Adv2019;5:eaaw5685 PMCID:PMC6570506

[190] Zhou Y.Electron spin relaxation in graphene from a microscopic approach: role of electron-electron interaction.Phys Rev B2010;82

[191] Soriano D,Fernández-Rossier J.Magnetic two-dimensional chromium trihalides: a theoretical perspective.Nano Lett2020;20:6225-34

[192] Ningrum VP,Wang W.Recent advances in two-dimensional magnets: physics and devices towards spintronic applications.Research (Wash D C)2020;2020:1768918 PMCID:PMC7321532

[193] Javaid M,Tawfik SA.Tuning the Schottky barrier height in a multiferroic In₂Se₃/Fe₃GeTe₂ van der Waals heterojunction.Nanoscale2022;14:4114-22

[194] Kamerbeek AM,Banerjee T.Large room-temperature tunneling anisotropic magnetoresistance and electroresistance in single ferromagnet/Nb:SrTiO₃ Schottky devices.Sci Rep2018;8:1378 PMCID:PMC5777995

[195] Xi Z,Li C.Giant tunnelling electroresistance in metal/ferroelectric/semiconductor tunnel junctions by engineering the Schottky barrier.Nat Commun2017;8:15217 PMCID:PMC5442322

[196] Zhu R,Shen W.Exchange bias in van der Waals CrCl₃/Fe₃GeTe₂ heterostructures.Nano Lett2020;20:5030-5

[197] He QL,Armitage NP,Wang KL.Topological spintronics and magnetoelectronics.Nat Mater2022;21:15-23

[198] Cai R,Lv P.Evidence for anisotropic spin-triplet Andreev reflection at the 2D van der Waals ferromagnet/superconductor interface.Nat Commun2021;12:6725 PMCID:PMC8602320

[199] Kezilebieke S,Dreher P.Electronic and magnetic characterization of epitaxial VSe₂ monolayers on superconducting NbSe₂.Commun Phys2020;3

[200] Alegria LD,Yao N,Cava RJ.Large anomalous Hall effect in ferromagnetic insulator-topological insulator heterostructures.Appl Phys Lett2014;105:053512

[201] Hejazi K,Balents L.Noncollinear phases in moiré magnets.Proc Natl Acad Sci U S A2020;117:10721-6 PMCID:PMC7245139

[202] Balents L,Efetov DK.Superconductivity and strong correlations in moiré flat bands.Nat Phys2020;16:725-33

[203] Tong Q,Xiao J.Skyrmions in the Moiré of van der Waals 2D magnets.Nano Lett2018;18:7194-9

[204] Cardoso C,García-Martínez NA.Van der Waals spin valves.Phys Rev Lett2018;121:067701

[205] Song T,Carnahan C.Voltage control of a van der Waals spin-filter magnetic tunnel junction.Nano Lett2019;19:915-20

[206] Lin H,Hu C.Spin-valve effect in Fe₃GeTe₂/MoS₂/Fe₃GeTe₂ van der Waals heterostructures.ACS Appl Mater Interfaces2020;12:43921-6

[207] Gennes P. Coupling between ferromagnets through a superconducting layer.Physics Letters1966;23:10-1

[208] Fukami S,Zhang C.A spin-orbit torque switching scheme with collinear magnetic easy axis and current configuration.Nat Nanotechnol2016;11:621-5

[209] Wang X,Xia X.Current-driven magnetization switching in a van der Waals ferromagnet Fe₃GeTe₂.Sci Adv2019;5:eaaw8904 PMCID:PMC6707781

[210] Johansen Ø,Sudbø A,Brataas A.Current control of magnetism in two-dimensional Fe₃GeTe₂.Phys Rev Lett2019;122:217203