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Journal articles on the topic 'Two-Dimensional Metals'

Author: Grafiati

Published: 7 September 2023

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1

Ren, Yinti, Liang Hu, Yangfan Shao, Yijian Hu, Li Huang, and Xingqiang Shi. "Magnetism of elemental two-dimensional metals." Journal of Materials Chemistry C 9, no. 13 (2021): 4554–61. http://dx.doi.org/10.1039/d1tc00438g.

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The magnetic properties of 45 2D metals are explored using first-principles calculations. Of the 45 2D metals, 18 are found to be magnetic due to a coordination number decrease and the energy band narrowing of the out-of-plane d orbitals.

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2

Mpoutas, Dimitrios, and Leonidas Tsetseris. "Magnetic two-dimensional C3N2 carbonitrides: semiconductors, metals and half-metals." Phys. Chem. Chem. Phys. 19, no. 39 (2017): 26743–48. http://dx.doi.org/10.1039/c7cp04934j.

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Using density-functional theory (DFT) calculations we probe the spin polarization of functionalized two-dimensional (2D) phthalo-carbonitrides (pc-C₃N₂), i.e., 2D polymers of tetra-cyanoethylene.

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3

Yoon, Hosang, Kitty Y. M. Yeung, Philip Kim, and Donhee Ham. "Plasmonics with two-dimensional conductors." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2012 (March 28, 2014): 20130104. http://dx.doi.org/10.1098/rsta.2013.0104.

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A wealth of effort in photonics has been dedicated to the study and engineering of surface plasmonic waves in the skin of three-dimensional bulk metals, owing largely to their trait of subwavelength confinement. Plasmonic waves in two-dimensional conductors, such as semiconductor heterojunction and graphene, contrast the surface plasmonic waves on bulk metals, as the former emerge at gigahertz to terahertz and infrared frequencies well below the photonics regime and can exhibit far stronger subwavelength confinement. This review elucidates the machinery behind the unique behaviours of the two-dimensional plasmonic waves and discusses how they can be engineered to create ultra-subwavelength plasmonic circuits and metamaterials for infrared and gigahertz to terahertz integrated electronics.

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4

Li, Chao, and Feng Zhai. "Magnetoplasmon spectrum of two-dimensional helical metals." New Journal of Physics 14, no. 1 (January 24, 2012): 013047. http://dx.doi.org/10.1088/1367-2630/14/1/013047.

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5

Sealy, Cordelia. "Making two-dimensional metals the easy way." Materials Today 36 (June 2020): 6. http://dx.doi.org/10.1016/j.mattod.2020.04.017.

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6

Hatatani, Masahiko, and Tôru Moriya. "Ferromagnetic Spin Fluctuations in Two-Dimensional Metals." Journal of the Physical Society of Japan 64, no. 9 (September 15, 1995): 3434–41. http://dx.doi.org/10.1143/jpsj.64.3434.

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7

Toyota, Naoki, and Takahiko Sasaki. "Highly correlated, quasi-two-dimensional organic metals." Physica B: Condensed Matter 186-188 (May 1993): 1056–58. http://dx.doi.org/10.1016/0921-4526(93)90784-4.

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8

Bachurina, O. V., and A. A. Kudreyko. "Two-dimensional discrete breathers in fcc metals." Computational Materials Science 182 (September 2020): 109737. http://dx.doi.org/10.1016/j.commatsci.2020.109737.

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9

Jiang, Zhihao, Stephan Haas, and Malte Rösner. "Plasmonic waveguides from Coulomb-engineered two-dimensional metals." 2D Materials 8, no. 3 (May 25, 2021): 035037. http://dx.doi.org/10.1088/2053-1583/abfedd.

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10

Abrikosov, A. A. "Quantum interference effects in quasi-two-dimensional metals." Physical Review B 61, no. 11 (March 15, 2000): 7770–74. http://dx.doi.org/10.1103/physrevb.61.7770.

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11

Anasori, Babak, Yu Xie, Majid Beidaghi, Jun Lu, Brian C. Hosler, Lars Hultman, Paul R. C. Kent, Yury Gogotsi, and Michel W. Barsoum. "Two-Dimensional, Ordered, Double Transition Metals Carbides (MXenes)." ACS Nano 9, no. 10 (August 13, 2015): 9507–16. http://dx.doi.org/10.1021/acsnano.5b03591.

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12

Wosnitza, J. "Superconducting properties of quasi-two-dimensional organic metals." Physica C: Superconductivity 317-318 (May 1999): 98–107. http://dx.doi.org/10.1016/s0921-4534(99)00049-0.

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13

Bertel, E. "One- and two-dimensional surface states on metals." Surface Science 331-333 (July 1995): 1136–46. http://dx.doi.org/10.1016/0039-6028(95)00074-7.

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14

Feng, Peng, and Xiaolong Tang. "Laser-modulated RKKY interaction in two-dimensional metals." physica status solidi (b) 251, no. 1 (September 3, 2013): 190–94. http://dx.doi.org/10.1002/pssb.201350007.

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15

Liu, Jieying, Jian Tang, Jiaojiao Zhao, Yanchong Zhao, Cheng Shen, Mengzhou Liao, Shuopei Wang, et al. "Hot-Pressed Two-Dimensional Amorphous Metals and Their Electronic Properties." Crystals 12, no. 5 (April 26, 2022): 616. http://dx.doi.org/10.3390/cryst12050616.

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As an emerging research field, two-dimensional (2D) metals have been the subject of increasing research efforts in recent years due to their potential applications. However, unlike typical 2D layered materials, such as graphene, which can be exfoliated from their bulk parent compounds, it is hardly possible to produce 2D metals through exfoliation techniques due to the absence of Van der Waals gaps. Indeed, the lack of effective material preparation methods severely limits the development of this research field. Here, we report a PDMS-assisted hot-pressing method in glovebox to obtain ultraflat nanometer-thick 2D metals/metal oxide amorphous films of various low-melting-point metals and alloys, e.g., gallium (Ga), indium (In), tin (Sn), and Ga0.87Ag0.13 alloy. The valence states extracted from X-ray photoelectron spectroscopy (XPS) indicate that the ratios of oxidation to metal in our 2D films vary among metals. The temperature-dependent electronic measurements show that the transport behavior of 2D metal/metal oxide films conform with the 2D Mott’s variable range hopping (VRH) model. Our experiments provide a feasible and effective approach to obtain various 2D metals.

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16

Liu, Jieying, Jian Tang, Jiaojiao Zhao, Yanchong Zhao, Cheng Shen, Mengzhou Liao, Shuopei Wang, et al. "Hot-Pressed Two-Dimensional Amorphous Metals and Their Electronic Properties." Crystals 12, no. 5 (April 26, 2022): 616. http://dx.doi.org/10.3390/cryst12050616.

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As an emerging research field, two-dimensional (2D) metals have been the subject of increasing research efforts in recent years due to their potential applications. However, unlike typical 2D layered materials, such as graphene, which can be exfoliated from their bulk parent compounds, it is hardly possible to produce 2D metals through exfoliation techniques due to the absence of Van der Waals gaps. Indeed, the lack of effective material preparation methods severely limits the development of this research field. Here, we report a PDMS-assisted hot-pressing method in glovebox to obtain ultraflat nanometer-thick 2D metals/metal oxide amorphous films of various low-melting-point metals and alloys, e.g., gallium (Ga), indium (In), tin (Sn), and Ga0.87Ag0.13 alloy. The valence states extracted from X-ray photoelectron spectroscopy (XPS) indicate that the ratios of oxidation to metal in our 2D films vary among metals. The temperature-dependent electronic measurements show that the transport behavior of 2D metal/metal oxide films conform with the 2D Mott’s variable range hopping (VRH) model. Our experiments provide a feasible and effective approach to obtain various 2D metals.

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17

Wang, Yan, Jong Chan Kim, Ryan J. Wu, Jenny Martinez, Xiuju Song, Jieun Yang, Fang Zhao, Andre Mkhoyan, Hu Young Jeong, and Manish Chhowalla. "Van der Waals contacts between three-dimensional metals and two-dimensional semiconductors." Nature 568, no. 7750 (March 27, 2019): 70–74. http://dx.doi.org/10.1038/s41586-019-1052-3.

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18

Huang, Kai, Jiwei Hou, Qingyun Zhang, Gang Ou, Dongdong Ning, Naveed Hussain, Yushuai Xu, Binghui Ge, Kai Liu, and Hui Wu. "Ultrathin two-dimensional metals with fully exposed (111) facets." Chemical Communications 54, no. 2 (2018): 160–63. http://dx.doi.org/10.1039/c7cc07923k.

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19

DÜRR, W., D. KERKMANN, and D. PESCIA. "EXPERIMENTAL ADVANCES IN TWO-DIMENSIONAL MAGNETISM." International Journal of Modern Physics B 04, no. 03 (March 10, 1990): 401–35. http://dx.doi.org/10.1142/s021797929000019x.

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This paper reviews recent experimental advances toward the physical realization of two-dimensional magnetic systems. In particular, it is shown that truly epitaxial ferromagnetic monolayers of 3-d transition metals atop a non-magnetic substrate are within reach of material science. Magnetism in these systems exhibits a rich variety of new phenomena, unknown to our three-dimensional world but in line with our theoretical picture of physcis in two dimensions.

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20

Lipavský, Pavel, Václav Špička, and Masashi Mizuta. "Phenomenological approach to the two-stream instability in two parallel two-dimensional metals." Physical Review B 60, no. 12 (September 15, 1999): 8665–71. http://dx.doi.org/10.1103/physrevb.60.8665.

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21

Roberts, P. J., T. A. Birks, T. J. Shepherd, D. M. Atkin, and P. St J. Russell. "Two-dimensional photonic band-gap structures as quasi-metals." Optics Letters 21, no. 7 (April 1, 1996): 507. http://dx.doi.org/10.1364/ol.21.000507.

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22

Grigorenko, A. N., P. I. Nikitin, Daniel A. Jelski, and Thomas F. George. "Two-dimensional treatment of nonlinear thermoelectricity in homogeneous metals." Physical Review B 42, no. 12 (October 15, 1990): 7405–8. http://dx.doi.org/10.1103/physrevb.42.7405.

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23

Wang, Tianyu, Quanfeng He, Jingyang Zhang, Zhaoyi Ding, Fucheng Li, and Yong Yang. "The controlled large-area synthesis of two dimensional metals." Materials Today 36 (June 2020): 30–39. http://dx.doi.org/10.1016/j.mattod.2020.02.003.

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24

Brosco, Valentina, Claudio Grimaldi, Emmanuele Cappelluti, and Lara Benfatto. "Two-dimensional Rashba metals: Unconventional low-temperature transport properties." Journal of Physics and Chemistry of Solids 128 (May 2019): 152–60. http://dx.doi.org/10.1016/j.jpcs.2017.10.040.

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25

Wosnitza, J., J. Hagel, J. A. Schlueter, U. Geiser, J. Mohtasham, R. W. Winter, and G. L. Gard. "Unusual interlayer transport in quasi-two-dimensional organic metals." Synthetic Metals 137, no. 1-3 (April 2003): 1269–70. http://dx.doi.org/10.1016/s0379-6779(02)01002-0.

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26

Gall, N. R., E. V. Rut'kov, and A. Ya Tontegode. "Two Dimensional Graphite Films on Metals and Their Intercalation." International Journal of Modern Physics B 11, no. 16 (June 30, 1997): 1865–911. http://dx.doi.org/10.1142/s0217979297000976.

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Two-dimensional graphite films (2DGF) on solids are wonderful objects, real nature-made two-dimensional crystals. Formation on active metal surface of a 2DGF with extremely high adsorption, chemical and catalytic passivity leads to a number of staggering effects. The review is devoted to 2DGF on metals and their nature, structure, modes of formation and physico chemical properties. A nature of absorption bond between 2DGF and metal substrate is discussed in details. A special attention is paid to intercalation of 2DGF — a process when foreign atoms and even molecules (fullerenes C 60 molecules) spontaneously penetrate between graphite film and metal substrate. Modes of intercalation are discussed and a mechanism of it, based on thermal movements of carbon atoms of a graphite layer, proposed earlier, is used for explanation of experimental data. A new, practically important effect-superefficient diffusion of alkaline atoms into transition metal bulk, covered by 2DGF, is reported.

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27

Ashton, Michael, Dorde Gluhovic, Susan B. Sinnott, Jing Guo, Derek A. Stewart, and Richard G. Hennig. "Two-Dimensional Intrinsic Half-Metals With Large Spin Gaps." Nano Letters 17, no. 9 (August 4, 2017): 5251–57. http://dx.doi.org/10.1021/acs.nanolett.7b01367.

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28

Rakitin, R. Yu. "Mechanisms of Grain-Boundary Diffusion in Two-Dimensional Metals." Technical Physics Letters 31, no. 8 (2005): 650. http://dx.doi.org/10.1134/1.2035354.

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29

Xu, F., T. Wen, and T. J. Lu. "Two-dimensional cellular metals as multifunctional structures: topology optimization." Heat and Mass Transfer 45, no. 4 (October 16, 2008): 485–501. http://dx.doi.org/10.1007/s00231-008-0450-0.

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30

Tsetseris, Leonidas. "Functionalization of two-dimensional phthalo-carbonitride with metal atoms." Physical Chemistry Chemical Physics 18, no. 37 (2016): 26088–93. http://dx.doi.org/10.1039/c6cp04668a.

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31

Baranava, M. S., and P. A. Praskurava. "Electronic properties of quasi two-dimensional transition metals chalcogenides with low-dimensional magnetism." Doklady BGUIR 18, no. 7 (November 25, 2020): 87–95. http://dx.doi.org/10.35596/1729-7648-2020-18-7-87-95.

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The search for fundamental physical laws which lead to stable high-temperature ferromagnetism is an urgent task. In addition to the already synthesized two-dimensional materials, there remains a wide list of possible structures, the stability of which is predicted theoretically. The article suggests the results of studying the electronic properties of MAX3 (M = Cr, Fe, A = Ge, Si, X = S, Se, Te) transition metals based compounds with nanostructured magnetism. The research was carried out using quantum mechanical simulation in specialized VASP software and calculations within the Heisenberg model. The ground magnetic states of twodimensional MAX3 and the corresponding energy band structures are determined. We found that among the systems under study, CrGeTe3 is a semiconductor nanosized ferromagnet. In addition, one is a semiconductor with a bandgap of 0.35 eV. Other materials are antiferromagnetic. The magnetic moment in MAX3 is localized on the transition metal atoms: in particular, the main one on the d-orbital of the transition metal atom (and only a small part on the p-orbital of the chalcogen). For CrGeTe3, the exchange interaction integral is calculated. The mechanisms of the formation of magnetic order was established. According to the obtained exchange interaction integrals, a strong ferromagnetic order is formed in the semiconductor plane. The distribution of the projection density of electronic states indicates hybridization between the d-orbital of the transition metal atom and the p-orbital of the chalcogen. The study revealed that the exchange interaction by the mechanism of superexchange is more probabilistic.

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32

YANAGISAWA, Fumiya, Tomoaki NIIYAMA, and Tomotsugu SHIMOKAWA. "Size effects on mechanical properties of one-dimensional and two-dimensional nanostructured metals." Proceedings of The Computational Mechanics Conference 2016.29 (2016): 4_285. http://dx.doi.org/10.1299/jsmecmd.2016.29.4_285.

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33

Hong, Yi-Lun, Zhibo Liu, Lei Wang, Tianya Zhou, Wei Ma, Chuan Xu, Shun Feng, et al. "Chemical vapor deposition of layered two-dimensional MoSi2N4 materials." Science 369, no. 6504 (August 6, 2020): 670–74. http://dx.doi.org/10.1126/science.abb7023.

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Identifying two-dimensional layered materials in the monolayer limit has led to discoveries of numerous new phenomena and unusual properties. We introduced elemental silicon during chemical vapor deposition growth of nonlayered molybdenum nitride to passivate its surface, which enabled the growth of centimeter-scale monolayer films of MoSi2N4. This monolayer was built up by septuple atomic layers of N-Si-N-Mo-N-Si-N, which can be viewed as a MoN2 layer sandwiched between two Si-N bilayers. This material exhibited semiconducting behavior (bandgap ~1.94 electron volts), high strength (~66 gigapascals), and excellent ambient stability. Density functional theory calculations predict a large family of such monolayer structured two-dimensional layered materials, including semiconductors, metals, and magnetic half-metals.

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34

Wang, Yifang, Mahroo Baharfar, Jiong Yang, Mohannad Mayyas, Mohammad B. Ghasemian, and Kourosh Kalantar-Zadeh. "Liquid state of post-transition metals for interfacial synthesis of two-dimensional materials." Applied Physics Reviews 9, no. 2 (June 2022): 021306. http://dx.doi.org/10.1063/5.0089232.

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The nascent field of liquid metals, metals, and alloys of low melting points has provided opportunities for synthesizing low-dimensional materials. Located between transition- and non-metals in the periodic table, post-transition elements exhibit unique properties in particular low melting points. Taking on a liquid form at low temperature, post-transition liquid metals can be used as solvents for metallic solutes. The enigmatic surface of liquid metals is also ultra-active and smooth, offering opportunities for fabricating and templating two-dimensional (2D) films. So far, various 2D materials have been harvested from the surface of liquid metals including 2D metal compounds and nonmetallic materials. Utilizing different extraction and transfer techniques, the produced 2D films can be uniformly deposited on desired substrates at large lateral dimensions. Here, we present a comprehensive overview of the fundamentals underlying post-transition-elements-based liquid metals and alloys and explain the effect of atomic level electron configurations on their characteristics. We discuss the key physical properties of liquid metals including the origin of their low melting points and their high thermal and electrical conductivities. We illustrate their boundary-induced layering and oxidation as essential traits for creating 2D films. Afterward, the interfacial synthesis of 2D materials is depicted with the discussion of surface oxidation, reduction and exfoliation. We present different types of devices using liquid metal-induced 2D synthesis processes, including field-effect transistors, optoelectronic devices, systems that use 2D dielectric and conductive layers, and piezoelectric devices. Eventually, we discuss future prospects and outline how liquid metals can contribute to exciting future applications.

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35

Ziebel, Michael E., Justin C. Ondry, and Jeffrey R. Long. "Two-dimensional, conductive niobium and molybdenum metal–organic frameworks." Chemical Science 11, no. 26 (2020): 6690–700. http://dx.doi.org/10.1039/d0sc02515a.

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Incorporation of Nb and Mo into conductive metal–organic frameworks enables utilization of the enhanced covalency, redox activity, and spin–orbit coupling of late-row metals to improve the transport and magnetic properties of these materials.

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36

Abdelsalam, Hazem, Mohamed Ali, Nahed H. Teleb, Mohamed M. Ibrahim, Medhat A. Ibrahim, and Qinfang Zhang. "Two-dimensional Si2BN nanoflakes for efficient removal of heavy metals." Chemical Physics Letters 772 (June 2021): 138568. http://dx.doi.org/10.1016/j.cplett.2021.138568.

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37

Kirkpatrick, T. R., and D. Belitz. "Anomalous density-of-states fluctuations in two-dimensional clean metals." EPL (Europhysics Letters) 102, no. 1 (April 1, 2013): 17002. http://dx.doi.org/10.1209/0295-5075/102/17002.

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38

Monthoux, P., and G. G. Lonzarich. "p-wave andd-wave superconductivity in quasi-two-dimensional metals." Physical Review B 59, no. 22 (June 1, 1999): 14598–605. http://dx.doi.org/10.1103/physrevb.59.14598.

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39

Wang, Mengjing, Isabel Al-Dhahir, Jude Appiah, and Kristie J. Koski. "Deintercalation of Zero-Valent Metals from Two-Dimensional Layered Chalcogenides." Chemistry of Materials 29, no. 4 (February 14, 2017): 1650–55. http://dx.doi.org/10.1021/acs.chemmater.6b04918.

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40

Zhilyaeva, E. I., O. A. Bogdanova, A. M. Flakina, G. V. Shilov, R. B. Lyubovskii, and R. N. Lyubovskaya. "Quasi-two-dimensional organic metals with differently oriented conducting layers." Russian Chemical Bulletin 60, no. 7 (July 2011): 1357–62. http://dx.doi.org/10.1007/s11172-011-0202-z.

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41

Vereda-Alonso, Carlos, José Miguel Rodrı́guez-Maroto, Rafael A. Garcı́a-Delgado, César Gómez-Lahoz, and Francisco Garcı́a-Herruzo. "Two-dimensional model for soil electrokinetic remediation of heavy metals." Chemosphere 54, no. 7 (February 2004): 895–903. http://dx.doi.org/10.1016/j.chemosphere.2003.09.002.

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42

Zeng, Yunhui, Wenhao Li, Hongfei Guo, Yilin Chen, Xiaoqing Jiang, and Bingjie Yu. "Analysis of Heavy Metal Pollution Based on Two-Dimensional Diffusion Model." International Journal of Healthcare and Medical Sciences, no. 51 (March 8, 2019): 1–6. http://dx.doi.org/10.32861/ijhms.51.1.6.

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This paper takes the propagation characteristics of heavy metals and the judgment of the location of pollution sources as the research objects, aiming to analyze the propagation characteristics of different heavy metals. Firstly, the Gaussian diffusion model is conducted to establish the propagation characteristics model of heavy metal pollutants in the atmosphere. Then, based on the law of conservation of mass and the law of two-dimensional diffusion, the two-dimensional diffusion model is adopted to establish the propagation characteristics model of heavy metals in soil moisture. According to these two models, the nonlinear differential equations are established respectively, revealing that the characteristics of the two propagation ways are related to space, time, diffusion coefficients, and other factors. Then, in the light of the propagation characteristics of different heavy metals, the least square method is applied to reduce the data calculation error and obtain the specific location of the pollution source. Finally, through establishing the three-dimensional diffusion model of heavy metal diffusion by introducing artificial control, speed and angle of prevailing wind direction, and other factors, the model is further optimized. The establishment of this model provides an important theoretical basis and guiding significance for the future study of heavy metal pollutants.

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43

Zeng, Yunhui, Wenhao Li, Hongfei Guo, Yilin Chen, Xiaoqing Jiang, and Bingjie Yu. "Analysis of Heavy Metal Pollution Based on Two-Dimensional Diffusion Model." Scientific Review, no. 54 (April 10, 2019): 87–92. http://dx.doi.org/10.32861/sr.54.87.92.

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This paper takes the propagation characteristics of heavy metals and the judgment of the location of pollution sources as the research objects, aiming to analyze the propagation characteristics of different heavy metals. Firstly, the Gaussian diffusion model is conducted to establish the propagation characteristics model of heavy metal pollutants in the atmosphere. Then, based on the law of conservation of mass and the law of two-dimensional diffusion, the two-dimensional diffusion model is adopted to establish the propagation characteristics model of heavy metals in soil moisture. According to these two models, the nonlinear differential equations are established respectively, revealing that the characteristics of the two propagation ways are related to space, time, diffusion coefficients, and other factors. Then, in the light of the propagation characteristics of different heavy metals, the least square method is applied to reduce the data calculation error and obtain the specific location of the pollution source. Finally, through establishing the three-dimensional diffusion model of heavy metal diffusion by introducing artificial control, speed and angle of prevailing wind direction, and other factors, the model is further optimized. The establishment of this model provides an important theoretical basis and guiding significance for the future study of heavy metal pollutants.

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44

Lipavský, Pavel, and Václav Špička. "Quasiparticle picture of friction between two coupled two-dimensional metals at zero temperature." Physical Review B 61, no. 5 (February 1, 2000): 3173–76. http://dx.doi.org/10.1103/physrevb.61.3173.

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45

Wang, Shiyao, Nanxi Miao, Kehe Su, Vladislav A. Blatov, and Junjie Wang. "Discovery of intrinsic two-dimensional antiferromagnets from transition-metal borides." Nanoscale 13, no. 17 (2021): 8254–63. http://dx.doi.org/10.1039/d1nr01103k.

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46

Ma, Ye, Debabrata Sikdar, Qian He, Daniel Kho, Anthony R. Kucernak, Alexei A. Kornyshev, and Joshua B. Edel. "Self-assembling two-dimensional nanophotonic arrays for reflectivity-based sensing." Chemical Science 11, no. 35 (2020): 9563–70. http://dx.doi.org/10.1039/d0sc02877k.

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47

Li, Gang, Huiyu Huang, Shaoqin Peng, Ying Xiong, Yongguang Xiao, Shaoan Yan, Yanwei Cao, Minghua Tang, and Zheng Li. "Two-dimensional polar metals in KNbO3/BaTiO3 superlattices: first-principle calculations." RSC Advances 9, no. 61 (2019): 35499–508. http://dx.doi.org/10.1039/c9ra06209b.

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Polar metals, commonly defined by the coexistence of polar structure and metallicity, are thought to be scarce because free carriers eliminate internal dipoles that may arise owing to asymmetric charge distributions.

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48

Yuan, Noah F. Q., and Liang Fu. "Topological metals and finite-momentum superconductors." Proceedings of the National Academy of Sciences 118, no. 3 (January 11, 2021): e2019063118. http://dx.doi.org/10.1073/pnas.2019063118.

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We show that the Zeeman field can induce a topological transition in two-dimensional spin–orbit-coupled metals and, concomitantly, a first-order phase transition in the superconducting state involving a discontinuous change of Cooper pair momentum. Depending on the spin–orbit coupling strength, we find different phase diagrams of two-dimensional (2D) superconductors under in-plane magnetic field.

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49

Champel, T., and V. P. Mineev. "de Haas–van Alphen effect in two- and quasi-two-dimensional metals and superconductors." Philosophical Magazine B 81, no. 1 (January 2001): 55–74. http://dx.doi.org/10.1080/13642810108216525.

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50

Narozhny, B. N., I. L. Aleiner, and A. I. Larkin. "Magnetic fluctuations in two-dimensional metals close to the Stoner instability." Physical Review B 62, no. 22 (December 1, 2000): 14898–911. http://dx.doi.org/10.1103/physrevb.62.14898.

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