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Nano Research 2022, 15(6): 5758-5766 https://doi.org/10.1007/s12274-022-4316-4
Research Article | Issue | Published: 04 April 2022

Negative differential friction coefficients of two-dimensional commensurate contacts dominated by electronic phase transition

Show Author's Information Kun Liu1,2,  Jiangtao Cheng2,  Xingju Zhao2,  Yandi Zhu2,  Xiaoyan Ren2,  Jinlei Shi2,  Zhengxiao Guo3,4,  Chongxin Shan2( ),  Hongjie Liu1( ),  Shunfang Li2( )
Laser Fusion Research Center, Chinese Academy of Engineering Physics, Mianyang 621900, China
Key Laboratory of Material Physics, Ministry of Education, School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
Department of Chemistry and Department of Mechanical Engineering, the University of Hong Kong, Hong Kong 999077, China
HKU Zhejiang Institute of Research and Innovation, Qinshan SciTech City, Hangzhou 311305, China
Keywords:
first-principles calculations, two-dimensional (2D) magnetic materials, CrI3, negative differential friction coefficient
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Liu K, Cheng J, Zhao X, et al. Negative differential friction coefficients of two-dimensional commensurate contacts dominated by electronic phase transition. Nano Research, 2022, 15(6): 5758-5766. https://doi.org/10.1007/s12274-022-4316-4
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Abstract Full text Electronic supplementary material About this article

Friction force (f) usually increases with the normal load (N) macroscopically, according to the classic law of Da Vinci–Amontons (f = µN), with a positive and finite friction coefficient (µ). Herein near-zero and negative differential friction (ZNDF) coefficients are discovered in two-dimensional (2D) van der Waals (vdW) magnetic CrI3 commensurate contacts. It is identified that the ferromagnetic–antiferromagnetic phase transition of the interlayer couplings of the bilayer CrI3 can significantly reduce the interfacial sliding energy barriers and thus contribute to ZNDF. Moreover, phase transition between the in-plane (px and py) and out-of-plane (pz) wave-functions dominates the sliding barrier evolutions, which is attributed to the delicate interplays among the interlayer vdW, electrostatic interactions, and the intralayer deformation of the CrI3 layers under external load. The present findings may motivate a new concept of slide-spintronics and are expected to play an instrumental role in design of novel magnetic solid lubricants applied in various spintronic nano-devices.


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Electronic supplementary material
About this article

Negative differential friction coefficients of two-dimensional commensurate contacts dominated by electronic phase transition

Show Author's information Kun Liu1,2, Jiangtao Cheng2, Xingju Zhao2, Yandi Zhu2, Xiaoyan Ren2, Jinlei Shi2, Zhengxiao Guo3,4, Chongxin Shan2( ), Hongjie Liu1( ), Shunfang Li2( )
Laser Fusion Research Center, Chinese Academy of Engineering Physics, Mianyang 621900, China
Key Laboratory of Material Physics, Ministry of Education, School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, China
Department of Chemistry and Department of Mechanical Engineering, the University of Hong Kong, Hong Kong 999077, China
HKU Zhejiang Institute of Research and Innovation, Qinshan SciTech City, Hangzhou 311305, China

Abstract

Friction force (f) usually increases with the normal load (N) macroscopically, according to the classic law of Da Vinci–Amontons (f = µN), with a positive and finite friction coefficient (µ). Herein near-zero and negative differential friction (ZNDF) coefficients are discovered in two-dimensional (2D) van der Waals (vdW) magnetic CrI3 commensurate contacts. It is identified that the ferromagnetic–antiferromagnetic phase transition of the interlayer couplings of the bilayer CrI3 can significantly reduce the interfacial sliding energy barriers and thus contribute to ZNDF. Moreover, phase transition between the in-plane (px and py) and out-of-plane (pz) wave-functions dominates the sliding barrier evolutions, which is attributed to the delicate interplays among the interlayer vdW, electrostatic interactions, and the intralayer deformation of the CrI3 layers under external load. The present findings may motivate a new concept of slide-spintronics and are expected to play an instrumental role in design of novel magnetic solid lubricants applied in various spintronic nano-devices.

Keywords: first-principles calculations, two-dimensional (2D) magnetic materials, CrI3, negative differential friction coefficient

References(64)

1
Persson, B. N. J. Sliding Friction: Physical Principles and Applications, 2nd ed.; Springer: Berlin, 2000.https://doi.org/10.1007/978-3-662-04283-0
DOI
2

Vanossi, A.; Manini, N.; Urbakh, M.; Zapperi, S.; Tosatti, E. Colloquium: Modeling friction: From nanoscale to mesoscale. Rev. Mod. Phys. 2013, 85, 529–552.
DOI Google Scholar
3

Persson, B. N. J. Theory of rubber friction and contact mechanics. J. Chem. Phys. 2001, 115, 3840–3861.
DOI Google Scholar
4

Urbakh, M.; Klafter, J.; Gourdon, D.; Israelachvili, J. The nonlinear nature of friction. Nature 2004, 430, 525–528.
DOI Google Scholar
5

Bormuth, V.; Varga, V.; Howard, J.; Schäffer, E. Protein friction limits diffusive and directed movements of kinesin motors on microtubules. Science 2009, 325, 870–873.
DOI Google Scholar
6

Holmberg, K.; Andersson, P.; Erdemir, A. Global energy consumption due to friction in passenger cars. Tribology International 2012, 47, 221–234.
DOI Google Scholar
7

Holmberg, K.; Erdemir, A. Influence of tribology on global energy consumption, costs and emissions. Friction 2017, 5, 263–284.
DOI Google Scholar
8

Tshiprut, Z.; Zelner, S.; Urbakh, M. Temperature-induced enhancement of nanoscale friction. Phys. Rev. Lett. 2009, 102, 136102.
DOI Google Scholar
9

Guerra, R.; Tartaglino, U.; Vanossi, A.; Tosatti, E. Ballistic nanofriction. Nat. Mater. 2010, 9, 634–637.
DOI Google Scholar
10

Persson, B. N. J.; Albohr, O.; Tartaglino, U.; Volokitin, A. I.; Tosatti, E. On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion. J. Phys. Condens. Matter 2005, 17, R1–R62.
DOI Google Scholar
11

Xie, H. T.; Wang, S. L.; Huang, H. Effects of surface roughness on the kinetic friction of SiC nanowires on SiN substrates. Tribol. Lett. 2018, 66, 15.
DOI Google Scholar
12

Li, S. Z.; Li, Q. Y.; Carpick, R. W.; Gumbsch, P.; Liu, X. Z.; Ding, X. D.; Sun, J.; Li, J. The evolving quality of frictional contact with graphene. Nature 2016, 539, 541–545.
DOI Google Scholar
13

Lee, C.; Li, Q. Y.; Kalb, W.; Liu, X. Z.; Berger, H.; Carpick, R. W.; Hone, J. Frictional characteristics of atomically thin sheets. Science 2010, 328, 76–80.
DOI Google Scholar
14

Filleter, T.; McChesney, J. L.; Bostwick, A.; Rotenberg, E.; Emtsev, K. V.; Seyller, T.; Horn, K.; Bennewitz, R. Friction and dissipation in epitaxial graphene films. Phys. Rev. Lett. 2009, 102, 086102.
DOI Google Scholar
15

Gnecco, E.; Bennewitz, R.; Gyalog, T.; Loppacher, C.; Bammerlin, M.; Meyer, E.; Güntherodt, H. J. Velocity dependence of atomic friction. Phys. Rev. Lett. 2000, 84, 1172–1175.
DOI Google Scholar
16

Thorén, P. A.; de Wijn, A. S.; Borgani, R.; Forchheimer, D.; Haviland, D. B. Imaging high-speed friction at the nanometer scale. Nat. Commun. 2016, 7, 13836.
DOI Google Scholar
17

Dayo, A.; Alnasrallah, W.; Krim, J. Superconductivity-dependent sliding friction. Phys. Rev. Lett. 1998, 80, 1690–1693.
DOI Google Scholar
18

Park, J. Y.; Ogletree, D. F.; Thiel, P. A.; Salmeron, M. Electronic control of friction in silicon pn junctions. Science 2006, 313, 186.
DOI Google Scholar
19

Kisiel, M.; Gnecco, E.; Gysin, U.; Marot, L.; Rast, S.; Meyer, E. Suppression of electronic friction on Nb films in the superconducting state. Nat. Mater. 2011, 10, 119–122.
DOI Google Scholar
20

Kaiser, U.; Schwarz, A.; Wiesendanger, R. Magnetic exchange force microscopy with atomic resolution. Nature 2007, 446, 522–525.
DOI Google Scholar
21

Androulidakis, C.; Koukaras, E. N.; Paterakis, G.; Trakakis, G.; Galiotis, C. Tunable macroscale structural superlubricity in two-layer graphene via strain engineering. Nat. Commun. 2020, 11, 1595.
DOI Google Scholar
22

Luo, J. B.; Liu, M.; Ma, L. R. Origin of friction and the new frictionless technology—Superlubricity: Advancements and future outlook. Nano Energy 2021, 86, 106092.
DOI Google Scholar
23

Andersson, D.; de Wijn, A. S. Understanding the friction of atomically thin layered materials. Nat. Commun. 2020, 11, 420.
DOI Google Scholar
24

Zhang, Y. N.; Hanke, F.; Bortolani, V.; Persson, M.; Wu, R. Q. Why sliding friction of Ne and Kr monolayers is so different on the Pb(111) surface. Phys. Rev. Lett. 2011, 106, 236103.
DOI Google Scholar
25

Gao, W.; Tkatchenko, A. Sliding mechanisms in multilayered hexagonal boron nitride and graphene: The effects of directionality, thickness, and sliding constraints. Phys. Rev. Lett. 2015, 114, 096101.
DOI Google Scholar
26

Vazirisereshk, M. R.; Ye, H.; Ye, Z. J.; Otero-de-la-Roza, A.; Zhao, M. Q.; Gao, Z. L.; Johnson, A. T. C.; Johnson, E. R.; Carpick, R. W.; Martini, A. Origin of nanoscale friction contrast between supported graphene, MoS2, and a graphene/MoS2 heterostructure. Nano Lett. 2019, 19, 5496–5505.
DOI Google Scholar
27

Müser, M. H. Structural lubricity: Role of dimension and symmetry. Eur. Lett. 2004, 66, 97–103.
DOI Google Scholar
28

Shinjo, K.; Hirano, M. Dynamics of friction: Superlubric state. Surf. Sci. 1993, 283, 473–478.
DOI Google Scholar
29

Peyrard, M.; Aubry, S. Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel−Kontorova model. J. Phys. C Solid State Phys. 1983, 16, 1593–1608.
DOI Google Scholar
30

Hirano, M.; Shinjo, K.; Kaneko, R.; Murata, Y. Anisotropy of frictional forces in muscovite mica. Phys. Rev. Lett. 1991, 67, 2642–2645.
DOI Google Scholar
31

Berman, D.; Deshmukh, S. A.; Sankaranarayanan, S. R. S.; Erdemir, A.; Sumant, A. V. Macroscale superlubricity enabled by graphene nanoscroll formation. Science 2015, 348, 1118–1122.
DOI Google Scholar
32

Song, Y. M.; Mandelli, D.; Hod, O.; Urbakh, M.; Ma, M.; Zheng, Q. S. Robust microscale superlubricity in graphite/hexagonal boron nitride layered heterojunctions. Nat. Mater. 2018, 17, 894–899.
DOI Google Scholar
33

Deng, Z.; Smolyanitsky, A.; Li, Q. Y.; Feng, X. Q.; Cannara, R. J. Adhesion-dependent negative friction coefficient on chemically modified graphite at the nanoscale. Nat. Mater. 2012, 11, 1032–1037.
DOI Google Scholar
34

Liu, B. T.; Wang, J.; Zhao, S. J.; Qu, C. Y.; Liu, Y.; Ma, L. R.; Zhang, Z. H.; Liu, K. H.; Zheng, Q. S.; Ma, M. Negative friction coefficient in microscale graphite/mica layered heterojunctions. Sci. Adv. 2020, 6, eaaz6787.
DOI Google Scholar
35

Mandelli, D.; Ouyang, W. G.; Hod, O.; Urbakh, M. Negative friction coefficients in superlubric graphite-hexagonal boron nitride heterojunctions. Phys. Rev. Lett. 2019, 122, 076102.
DOI Google Scholar
36

Sun, J. H.; Lu, Y. Y.; Feng, Y. Q.; Lu, Z. B.; Zhang, G. A.; Yuan, Y. P.; Qian, L. M.; Xue, Q. J. Friction-load relationship in the adhesive regime revealing potential incapability of AFM investigations. Tribol. Lett. 2020, 68, 18.
DOI Google Scholar
37

Sun, J. H.; Zhang, Y. N.; Lu, Z. B.; Li, Q. Y.; Xue, Q. J.; Du, S. Y.; Pu, J. B.; Wang, L. P. Superlubricity enabled by pressure-induced friction collapse. J. Phys. Chem. Lett. 2018, 9, 2554–2559.
DOI Google Scholar
38

Yang, C. B.; Xiao, S. Y.; Yang, J. C.; Lu, X. M.; Chu, Y. H.; Zhou, M.; Huang, F. Z.; Zhu, J. S. Dry lubrication of friction on ferroelectric BiFeO3 film. Appl. Surf. Sci. 2018, 457, 797–803.
DOI Google Scholar
39

Sun, J. G.; Zhang, L. L.; Pang, R.; Zhao, X. J.; Cheng, J. T.; Zhang, Y. M.; Xue, X. L.; Ren, X. Y.; Zhu, W. G.; Li, S. F. et al. Negative differential friction predicted in two-dimensional ferroelectric In2Se3 commensurate contacts. Adv. Sci. 2022, 9, 2103443.
DOI Google Scholar
40

Monceau, P.; Richard, J.; Renard, M. Charge-density-wave motion in NbSe3. I. Studies of the differential resistance dVdI. Phys. Rev. B 1982, 25, 931–947.
DOI Google Scholar
41

Chen, L.; Hu, Z. P.; Zhao, A. D.; Wang, B.; Luo, Y.; Yang, J. L.; Hou, J. G. Mechanism for negative differential resistance in molecular electronic devices: Local orbital symmetry matching. Phys. Rev. Lett. 2007, 99, 146803.
DOI Google Scholar
42

Íñiguez, J.; Zubko, P.; Luk'yanchuk, I.; Cano, A. Ferroelectric negative capacitance. Nat. Rev. Mater. 2019, 4, 243–256.
DOI Google Scholar
43

Huang, B.; Clark, G.; Navarro-Moratalla, E.; Klein, D. R.; Cheng, R.; Seyler, K. L.; Zhong, D.; Schmidgall, E.; McGuire, M. A.; Cobden, D. H. et al. Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit. Nature 2017, 546, 270–273.
DOI Google Scholar
44

Sivadas, N.; Okamoto, S.; Xu, X. D.; Fennie, C. J.; Xiao, D. Stacking-dependent magnetism in bilayer CrI3. Nano Lett. 2018, 18, 7658–7664.
DOI Google Scholar
45

Jiang, P. H.; Wang, C.; Chen, D. C.; Zhong, Z. C.; Yuan, Z.; Lu, Z. Y.; Ji, W. Stacking tunable interlayer magnetism in bilayer CrI3. Phys. Rev. B 2019, 99, 144401.
DOI Google Scholar
46

Soriano, D.; Cardoso, C.; Fernández-Rossier, J. Interplay between interlayer exchange and stacking in CrI3 bilayers. Solid State Commun. 2019, 299, 113662.
DOI Google Scholar
47

Chen, W. O.; Sun, Z. Y.; Wang, Z. J.; Gu, L. H.; Xu, X. D.; Wu, S. W.; Gao, C. L. Direct observation of van der Waals stacking-dependent interlayer magnetism. Science 2019, 366, 983–987.
DOI Google Scholar
48

Huang, B.; Clark, G.; Klein, D. R.; MacNeill, D.; Navarro-Moratalla, E.; Seyler, K. L.; Wilson, N.; McGuire, M. A.; Cobden, D. H.; Xiao, D. et al. Electrical control of 2D magnetism in bilayer CrI3. Nat. Nanotechnol. 2018, 13, 544–548.
DOI Google Scholar
49

Song, T.; Fei, Z.; Yankowitz, M.; Lin, Z.; Jiang, Q.; Hwangbo, K.; Zhang, Q.; Sun, B.; Taniguchi, T.; Watanabe, K. et al. Switching 2D magnetic states via pressure tuning of layer stacking. Nat. Mater. 2019, 18, 1298–1302.
DOI Google Scholar
50

Li, T.; Jiang, S.; Sivadas, N.; Wang, Z.; Xu, Y.; Weber, D.; Goldberger, J. E.; Watanabe, K.; Taniguchi, T.; Fennie, C. J. et al. Pressure-controlled interlayer magnetism in atomically thin CrI3. Nat. Mater. 2019, 18, 1303–1308.
DOI Google Scholar
51

Soriano, D.; Katsnelson, M. I. Magnetic polaron and antiferromagnetic-ferromagnetic transition in doped bilayer CrI3. Phys. Rev. B 2020, 101, 041402.
DOI Google Scholar
52

Webster, L.; Yan, J. A. Strain-tunable magnetic anisotropy in monolayer CrCl3, CrBr3, and CrI3. Phys. Rev. B 2018, 98, 144411.
DOI Google Scholar
53

Wang, Z.; Gutiérrez-Lezama, I.; Ubrig, N.; Kroner, M.; Gibertini, M.; Taniguchi, T.; Watanabe, K.; Imamoğlu, A.; Giannini, E.; Morpurgo, A. F. Very large tunneling magnetoresistance in layered magnetic semiconductor CrI3. Nat. Commun. 2018, 9, 2516.
DOI Google Scholar
54

Jiang, S. W.; Xie, H. C.; Shan, J.; Mak, K. F. Exchange magnetostriction in two-dimensional antiferromagnets. Nat. Mater. 2020, 19, 1295–1299.
DOI Google Scholar
55

Cantos-Prieto, F.; Falin, A.; Alliati, M.; Qian, D.; Zhang, R.; Tao, T.; Barnett, M. R.; Santos, E. J. G.; Li, L. H.; Navarro-Moratalla, E. Layer-dependent mechanical properties and enhanced plasticity in the van der Waals chromium trihalide magnets. Nano Lett. 2021, 21, 3379–3385.
DOI Google Scholar
56

Stern, M. V.; Waschitz, Y.; Cao, W.; Nevo, I.; Watanabe, K.; Taniguchi, T.; Sela, E.; Urbakh, M.; Hod, O.; Ben Shalom, M. Interfacial ferroelectricity by van der Waals sliding. Science 2021, 372, 1462–1466.
DOI Google Scholar
57

Yasuda, K.; Wang, X. R.; Watanabe, K.; Taniguchi, T.; Jarillo-Herrero, P. Stacking-engineered ferroelectricity in bilayer boron nitride. Science 2021, 372, 1458–1462.
DOI Google Scholar
58

Zheng, Z. R.; Ma, Q.; Bi, Z.; de la Barrera, S.; Liu, M. H.; Mao, N. N.; Zhang, Y.; Kiper, N.; Watanabe, K.; Taniguchi, T. et al. Unconventional ferroelectricity in moiré heterostructures. Nature 2020, 588, 71–76.
DOI Google Scholar
59

Constantinescu, G.; Kuc, A.; Heine, T. Stacking in bulk and bilayer hexagonal boron nitride. Phys. Rev. Lett. 2013, 111, 036104.
DOI Google Scholar
60

Kresse, G.; Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 1996, 54, 11169–11186.
DOI Google Scholar
61

Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 1994, 50, 17953–17979.
DOI Google Scholar
62

Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 1996, 77, 3865–3868.
DOI Google Scholar
63

McGuire, M. A.; Dixit, H.; Cooper, V. R.; Sales, B. C. Coupling of crystal structure and magnetism in the layered, ferromagnetic insulator CrI3. Chem. Mater. 2015, 27, 612–620.
DOI Google Scholar
64

Klimeš, J.; Bowler, D. R.; Michaelides, A. Van der Waals density functionals applied to solids. Phys. Rev. B 2011, 83, 195131.
DOI Google Scholar
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Publication history
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Acknowledgements

Publication history

Received: 22 November 2021
Revised: 09 February 2022
Accepted: 11 March 2022
Published: 04 April 2022
Issue date: April 2022

Copyright

© Tsinghua University Press 2022

Acknowledgements

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12074345, 12174349, 11674289, 11804306, 11634011 and U2030120), and Henan Provincial Key Science and Technology Research Projects (No. 212102210130).

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