Electrically conductive polypropylene nanocomposites with negative permittivity at low carbon nanotube loading levels

ACS Applied Materials and Interfaces

Volumn 7, Issue 11, 2015, Pages 6125-6138

  Zhang, Xi ^a,b,c   Yan, Xingru ^a   He, Qingliang ^a,f   Wei, Huige ^a,b,c   Long, Jun ^c   Guo, Jiang ^a   Gu, Hongbo ^d   Yu, Jingfang ^e   Liu, Jingjing ^e   Ding, Daowei ^a,f   Sun, Luyi ^e   Wei, Suying ^b,c   Guo, Zhanhu ^a  

^a University of Tennessee   (United States)

^b LAMAR UNIVERSITY   (United States)

^c Lamar University   (United States)

^d TONGJI UNIVERSITY   (China)

^e UNIVERSITY OF CONNECTICUT   (United States)

^f Engineered Multifunctional Composites   (United States)

Author keywords

band gap; crystal phases; negative permittivity; percolation value; polypropylene nanocomposites; viscosity

Indexed keywords

ELECTRIC CONDUCTIVITY; ENERGY GAP; NANOCOMPOSITES; PERMITTIVITY; POLYPROPYLENES; PROCESSING; SOLVENTS; TEMPERATURE; VISCOSITY;

CRYSTAL PHASIS; ELECTRICAL CONDUCTIVITY; ELECTRICALLY CONDUCTIVE; NEGATIVE PERMITTIVITY; PERCOLATION THRESHOLDS; POLYPROPYLENE NANOCOMPOSITES; PROCESSING TEMPERATURE; VARIABLE-RANGE HOPPING;

CARBON NANOTUBES;

EID: 84925832601     PISSN: 19448244     EISSN: 19448252     Source Type: Journal    
DOI: 10.1021/am5082183     Document Type: Article

References (95)

1. Stankovich, S.; Dikin, D. A.; Dommett, G. H. B.; Kohlhaas, K. M.; Zimney, E. J.; Stach, E. A.; Piner, R. D.; Nguyen, S. T.; Ruoff, R. S. Graphene-Based Composite Materials Nature 2006, 442, 282-286
2. Gao, Y.; Wang, Q.; Wang, J.; Huang, L.; Yan, X.; Zhang, X.; He, Q.; Xing, Z.; Guo, Z. Synthesis of Highly Efficient Flame Retardant HDPE Nanocomposites with Inorgano-LDH as Nanofiller Using Solvent Mixing Method ACS Appl. Mater. Interfaces 2014, 6 (7) 5094-5104
3. Wang, Q.; Zhang, X.; Wang, C. J.; Zhu, J.; Guo, Z.; OHare, D. Polypropylene/Layered Double Hydroxide Nanocomposites J. Mater. Chem. 2012, 22, 19113-19121
4. He, Q.; Yuan, T.; Luo, Z.; Haldolaarachchige, N.; Young, D. P.; Wei, S.; Guo, Z. Morphology and Phase Controlled Cobalt Nanostructures in Magnetic Polypropylene Nanocomposites: The Role of Alkyl Chain-Length in Maleic Anhydride Grafted Polypropylene Chem. Commun. 2013, 49, 2679-2681
5. Gu, H.; Tadakamalla, S.; Huang, Y.; Colorado, H. A.; Luo, Z.; Haldolaarachchige, N.; Young, D. P.; Wei, S.; Guo, Z. Polyaniline Stabilized Magnetite Nanoparticle Reinforced Epoxy Nanocomposites ACS Appl. Mater. Interfaces 2012, 4, 5613-5624
6. Chen, M.; Qu, H.; Zhu, J.; Luo, Z.; Khasanov, A.; Kucknoor, A. S.; Haldolaarachchige, N.; Young, D. P.; Wei, S.; Guo, Z. Magnetic Electrospun Fluorescent Polyvinylpyrrolidone Nanocomposite Fibers Polymer 2012, 53, 4501-4511
7. Guo, Z.; Wei, S.; Shedd, B.; Scaffaro, R.; Pereira, T.; Hahn, H. T. Particle Surface Engineering Effect on The Mechanical, Optical and Photoluminescent Properties of ZnO/Vinyl-Ester Resin Nanocomposites J. Mater. Chem. 2007, 17, 806-813
8. Wei, H.; Yan, X.; Wu, S.; Luo, Z.; Wei, S.; Guo, Z. Electropolymerized Polyaniline Stabilized Tungsten Oxide Nanocomposite Films: Electrochromic Behavior and Electrochemical Energy Storage J. Phys. Chem. C 2012, 116, 25052-25064
9. 3 Nanocomposite Films via Electropolymerization J. Phys. Chem. C 2012, 116, 16286-16293
10. 3 Adv. Funct. Mater. 2010, 20, 3076-3084
11. Zhang, X.; He, Q.; Gu, H.; Guo, Z.; Wei, S. Polyaniline Stabilized Barium Titanate Nanoparticles Reinforced Epoxy Nanocomposites with High Dielectric Permittivity and Reduced Flammability J. Mater. Chem. C 2013, 1, 2886-2899
12. Gu, H.; Huang, Y.; Zhang, X.; Wang, Q.; Zhu, J.; Shao, L.; Haldolaarachchige, N.; Young, D. P.; Wei, S.; Guo, Z. Magnetoresistive Polyaniline-Magnetite Nanocomposites with Negative Dielectrical Properties Polymer 2012, 53, 801-809
13. Coleman, J. N.; Khan, U.; Blau, W. J.; Gunko, Y. K. Carbon 2006, 44, 1624-1652
14. ávila-Orta, C. A.; R.-L, C. E.; Dávila-Rodríguez, M. V.; Aguirre-Figueroa, Y. A.; Cruz-Delgado, V. J.; Neira-Velázquez, M. G.; Medellín-Rodríguez, F. J.; Hsiao, B. S. Int. J. Polym. Mater. 2013, 62, 635-641
15. Kashiwagi, T.; Grulke, E.; Hilding, J.; Groth, K.; Harris, R.; Butler, K.; Shields, J.; Kharchenko, S.; Douglas, J. Polymer 2004, 45, 4227-4239
16. Li, J.; Ma, P. C.; Chow, W. S.; To, C. K.; Tang, B. Z.; Kim, J. K. Correlations between Percolation Threshold, Dispersion State, and Aspect Ratio of Carbon Nanotubes Adv. Funct. Mater. 2007, 17, 3207-3215
17. Xin, F.; Li, L. J. Compos. Mater. 2012, 15, 1-9
18. Seo, M.-K.; Park, S.-J. Electrical Resistivity and Rheological Behaviors of Carbon Nanotubes-Filled Polypropylene Composites Chem. Phys. Lett. 2004, 395, 44-48
19. Kovalchuk, A. A.; Shchegolikhin, A. N.; Shevchenko, V. G.; Nedorezova, P. M.; Klyamkina, A. N.; Aladyshev, A. M. Synthesis and Properties of Polypropylene/Multiwall Carbon Nanotube Composites Macromolecules 2008, 41, 3149-3156
20. UreÃa-Benavides, E. E.; Kayatin, M. J.; Davis, V. A. Dispersion and Rheology of Multiwalled Carbon Nanotubes in Unsaturated Polyester Resin Macromolecules 2013, 46, 1642-1650
21. Zhu, J.; Wei, S.; Yadav, A.; Guo, Z. Rheological Behaviors and Electrical Conductivity of Epoxy Resin Nanocomposites Suspended with In-Situ Stabilized Carbon Nanofibers Polymer 2010, 51, 2643-2651
22. Lee, S. H.; Cho, E.; Jeon, S. H.; Youn, J. R. Rheological and Electrical Properties of Polypropylene Composites Containing Functionalized Multi-Walled Carbon Nanotubes and Compatibilizers Carbon 2007, 45, 2810-2822
23. Bose, S.; Khare, R. A.; Moldenaers, P. Assessing The Strengths and Weaknesses of Various Types of Pre-treatments of Carbon Nanotubes on The Properties of Polymer/Carbon Nanotubes Composites: A Critical Review Polymer 2010, 51, 975-993
24. Kim, Y. J.; Shin, T. S.; Choi, H. D.; Kwon, J. H.; Chung, Y.-C.; Yoon, H. G. Electrical Conductivity of Chemically Modified Multiwalled Carbon Nanotube/Epoxy Composites Carbon 2005, 43, 23-30
25. Zhang, S.; Fan, W.; Panoiu, N. C.; Malloy, K. J.; Osgood, R. M.; Brueck, S. R. J. Experimental Demonstration of Near-Infrared Negative-Index Metamaterials Phys. Rev. Lett. 2005, 95, 137404
26. Pendry, J. B.; MartÃn-Moreno, L.; Garcia-Vidal, F. J. Mimicking Surface Plasmons with Structured Surfaces Science 2004, 305, 847-848
27. Hilt, O.; Brom, H. B.; Ahlskog, M. Localized and Delocalized Charge Transport in Single-Wall Carbon-Nanotube Mats Phys. Rev. B 2000, 61, R5129-R5132
28. Zhu, J.; Wei, S.; Zhang, L.; Mao, Y.; Ryu, J.; Karki, A. B.; Young, D. P.; Guo, Z. Polyaniline-Tungsten Oxide Metacomposites with Tunable Electronic Properties J. Mater. Chem. 2011, 21, 342-348
29. Zhu, J.; Wei, S.; Ryu, J.; Guo, Z. Strain-Sensing Elastomer/Carbon Nanofiber "Metacomposites J. Phys. Chem. C 2011, 115, 13215-13222
30. Hoffman, A. J.; Alekseyev, L.; Howard, S. S.; Franz, K. J.; Wasserman, D.; Podolskiy, V. A.; Narimanov, E. E.; Sivco, D. L.; Gmachl, C. Negative Refraction in Semiconductor Metamaterials Nat. Mater. 2007, 6, 946-950
31. Pendry, J. B.; Holden, A. J.; Stewart, W. J.; Youngs, I. Extremely Low Frequency Plasmons in Metallic Mesostructures Phys. Rev. Lett. 1996, 76, 4773-4776
32. Dolgov, O. V.; Kirzhnits, D. A.; Maksimov, E. G. On an Admissible Sign of The Static Dielectric Function of Matter Rev. Mod. Phys. 1981, 53, 81-93
33. Baughman, R. H.; Zakhidov, A. A.; de Heer, W. A. Carbon Nanotubes - the Route Toward Applications Science 2002, 297, 787-792
34. Popov, V. N. Carbon Nanotubes: Properties and Application Mater. Sci. Eng., R 2004, 43, 61-102
35. Wang, M.; Wang, W.; Liu, T.; Zhang, W.-D. Melt Rheological Properties of Nylon 6/Multi-Walled Carbon Nanotube Composites Compos. Sci. Technol. 2008, 68, 2498-2502
36. Sun, L.; Boo, W.-J.; Liu, J.; Clearfield, A.; Sue, H.-J.; Verghese, N. E.; Pham, H. Q.; Bicerano, J. Effect of Nanoplatelets on the Rheological Behavior of Epoxy Monomers Macromol. Mater. Eng. 2009, 294, 103-113
37. Sun, L.; Liu, J.; Kirumakki, S. R.; Schwerdtfeger, E. D.; Howell, R. J.; Al-Bahily, K.; Miller, S. A.; Clearfield, A.; Sue, H.-J. Polypropylene Nanocomposites Based on Designed Synthetic Nanoplatelets. Chemistry of Materials Chem. Mater. 2009, 21, 1154-1161
38. Huang, S.; Wang, M.; Liu, T.; Zhang, W.-D.; Tjiu, W. C.; He, C.; Lu, X. Morphology, Thermal, and Rheological Behavior of Nylon 11/Multi-Walled Carbon Nanotube Nanocomposites Prepared by Melt Compounding Polym. Eng. Sci. 2009, 49, 1063-1068
39. Lee, W. D.; Im, S. S.; Lim, H.-M.; Kim, K.-J. Preparation and Properties of Layered Double Hydroxide/Poly(ethylene terephthalate) Nanocomposites by Direct Melt Compounding Polymer 2006, 47, 1364-1371
40. Zhang, X.; Alloul, O.; Zhu, J.; Luo, Z.; Colorado, H. A.; Haldolaarachchige, N.; Young, D. P.; Shen, T. D.; He, Q.; Wei, S.; Guo, Z. Iron Core Carbon Shell Nanoparticles Reinforced Electrically Conductive Magnetic Epoxy Resin Nanocomposites with Reduced Flammability RSC Adv. 2013, 3, 9453-9464
41. Zhang, X.; He, Q.; Gu, H.; Colorado, H. A.; Wei, S.; Guo, Z. Flame Retardant Conductive Epoxy Resin Nanocomposites Reinforced with Various Polyaniline Nanostructures ACS Appl. Mater. Interfaces 2013, 5, 898-910
42. Tuteja, A.; Duxbury, P. M.; Mackay, M. E. Multifunctional Nanocomposites with Reduced Viscosity Macromolecules 2007, 40, 9427-9434
43. Jain, S.; Goossens, J. G. P.; Peters, G. W. M.; van Duin, M.; Lemstra, P. J. Strong Decrease in Viscosity of Nanoparticle-Filled Polymer Melts through Selective Adsorption Soft Matter 2008, 4, 1848-1854
44. Thanpitcha, T.; Li, Z.; Rujiravanit, R.; Sirivat, A.; Jamieson, A. Anomalous Rheology of Polypyrrole Nanoparticle/Alginate Suspensions: Effect of Solids Volume Fraction, Particle Size, and Electronic State Rheol. Acta 2011, 50, 809-823
45. Yan, D.; Wang, W. J.; Zhu, S. Effect of Long Chain Branching on Rheological Properties of Metallocene Polyethylene Polymer 1999, 40, 1737-1744
46. Jaber, E.; Luo, H.; Li, W.; Gersappe, D. Network Formation in Polymer Nanocomposites under Shear Soft Matter 2011, 7, 3852-3860
47. Green, P. F.; Mills, P. J.; PalmstrÃm, C. J.; Mayer, J. W.; Kramer, E. J. Limits of Reptation in Polymer Melts Phys. Rev. Lett. 1984, 53, 2145-2148
48. Bubeck, R. A. Structure-Property Relationships in Metallocene Polyethylenes Mater. Sci. Eng., R 2002, 39, 1-28
49. Sternstein, S. S.; Zhu, A.-J. Reinforcement Mechanism of Nanofilled Polymer Melts As Elucidated by Nonlinear Viscoelastic Behavior Macromolecules 2002, 35, 7262-7273
50. Sinha Ray, S.; Maiti, P.; Okamoto, M.; Yamada, K.; Ueda, K. New Polylactide/Layered Silicate Nanocomposites. 1. Preparation, Characterization, and Properties Macromolecules 2002, 35, 3104-3110
51. Hyun, Y. H.; Lim, S. T.; Choi, H. J.; Jhon, M. S. Rheology of Poly(ethylene oxide)/Organoclay Nanocomposites Macromolecules 2001, 34, 8084-8093
52. Fu, B. X.; Gelfer, M. Y.; Hsiao, B. S.; Phillips, S.; Viers, B.; Blanski, R.; Ruth, P. Physical Gelation in Ethylene-Propylene Copolymer Melts Induced by Polyhedral Oligomeric Silsesquioxane (POSS) Molecules Polymer 2003, 44, 1499-1506
53. Zhu, J.; Wei, S.; Li, Y.; Sun, L.; Haldolaarachchige, N.; Young, D. P.; Southworth, C.; Khasanov, A.; Luo, Z.; Guo, Z. Surfactant-Free Synthesized Magnetic Polypropylene Nanocomposites: Rheological, Electrical, Magnetic, and Thermal Properties Macromolecules 2011, 44, 4382-4391
54. Chen, X.; Wei, S.; Yadav, A.; Patil, R.; Zhu, J.; Ximenes, R.; Sun, L.; Guo, Z. Poly(propylene)/Carbon Nanofiber Nanocomposites: Ex Situ Solvent-Assisted Preparation and Analysis of Electrical and Electronic Properties Macromol. Mater. Eng. 2011, 296, 434-443
55. Thomann, R.; Wang, C.; Kressler, J. r.; MÃlhaupt, R. On the γ-Phase of Isotactic Polypropylene Macromolecules 1996, 29, 8425-8434
56. Mezghani, K.; Phillips, P. J. The γ-Phase of High Molecular Weight Isotactic Polypropylene: III. The Equilibrium Melting Point and the Phase Diagram Polymer 1998, 39, 3735-3744
57. Song, P. A.; Liu, L.; Huang, G.; Fu, S.; Yu, Y.; Guo, Q. Facile Fabrication of Polyolefin/Carbon Nanotube Composites via in Situ Friedel-Crafts Polyalkylation: Structure and Properties Ind. Eng. Chem. Res. 2013, 52, 14384-14395
58. Hoffman, J. D.; Miller, R. L.; Marand, H.; Roitman, D. B. Relationship between The Lateral Surface Free Energy Sigma and The Chain Structure of Melt-Crystallized Polymers Macromolecules 1992, 25, 2221-2229
59. 2 Nanocomposites Thermochim. Acta 2005, 427, 117-128
60. Tsuji, H.; Takai, H.; Saha, S. K. Isothermal and Non-Isothermal Crystallization Behavior of Poly(l-lactic acid): Effects of Stereocomplex as Nucleating Agent Polymer 2006, 47, 3826-3837
61. Vyazovkin, S.; Stone, J.; Sbirrazzuoli, N. Hoffman-Lauritzen Parameters for Non-Isothermal Crystallization of Poly(ethylene terephthalate) and Poly(ethylene oxide) Melts J. Therm. Anal. Calorim. 2005, 80, 177-180
62. Welch, P.; Muthukumar, M. Molecular Mechanisms of Polymer Crystallization from Solution Phys. Rev. Lett. 2001, 87, 218302
63. Grady, B. P.; Pompeo, F.; Shambaugh, R. L.; Resasco, D. E. Nucleation of Polypropylene Crystallization by Single-Walled Carbon Nanotubes J. Phys. Chem. B 2002, 106, 5852-5858
64. Li, H.; Huneault, M. A. Effect of Nucleation and Plasticization on the Crystallization of Poly(lactic acid) Polymer 2007, 48, 6855-6866
65. Foresta, T.; Piccarolo, S.; Goldbeck-Wood, G. Competition between α and γ Phases in Isotactic Polypropylene: Effects of Ethylene Content and Nucleating Agents at Different Cooling Rates Polymer 2001, 42, 1167-1176
66. He, Q.; Yuan, T.; Zhang, X.; Luo, Z.; Haldolaarachchige, N.; Sun, L.; Young, D. P.; Wei, S.; Guo, Z. Magnetically Soft and Hard Polypropylene/Cobalt Nanocomposites: Role of Maleic Anhydride Grafted Polypropylene Macromolecules 2013, 46, 2357-2368
67. Seo, M.-K.; Lee, J.-R.; Park, S.-J. Crystallization Kinetics and Interfacial Behaviors of Polypropylene Composites Reinforced with Multi-walled Carbon Nanotubes Mater. Sci. Eng., A 2005, 404, 79-84
68. Li, Y.; Zhu, J.; Wei, S.; Ryu, J.; Wang, Q.; Sun, L.; Guo, Z. Poly(propylene) Nanocomposites Containing Different Carbon Nanostructures Macromol. Chem. Phys. 2011, 212, 2429-2438
69. Ounaies, Z.; Park, C.; Wise, K. E.; Siochi, E. J.; Harrison, J. S. Electrical Properties of Single Wall Carbon Nanotube Reinforced Polyimide Composites Compos. Sci. Technol. 2003, 63, 1637-1646
70. Kilbride, B. E.; Coleman, J. N.; Fraysse, J.; Fournet, P.; Cadek, M.; Drury, A.; Hutzler, S.; Roth, S.; Blau, W. J. Experimental Observation of Scaling Laws for Alternating Current and Direct Current Conductivity in Polymer-Carbon Nanotube Composite Thin Films Jpn. J. Appl. Phys. 2002, 92, 4024-4030
71. Alshehri, A. H.; Jakubowska, M.; Sloma, M.; Horaczek, M.; Rudka, D.; Free, C.; David Carey, J. Electrical performance of carbon nanotube-polymer composites at frequencies up to 220 GHz Appl. Phys. Lett. 2011, 99, 153109
72. Guo, Z.; Shin, K.; Karki, A.; Young, D.; Kaner, R.; Hahn, H. Fabrication and Characterization of Iron Oxide Nanoparticles Filled Polypyrrole Nanocomposites J. Nanopart. Res. 2009, 11, 1441-1452
73. Zhang, X.; Wei, S.; Haldolaarachchige, N.; Colorado, H. A.; Luo, Z.; Young, D. P.; Guo, Z. Magnetoresistive Conductive Polyaniline-Barium Titanate Nanocomposites with Negative Permittivity J. Phys. Chem. C 2012, 116, 15731-15740
74. Seidel, G. D.; Lagoudas, D. C. A Micromechanics Model for the Electrical Conductivity of Nanotube-Polymer Nanocomposites J. Compos. Mater. 2009, 43, 917-941
75. Hu, L.; Hecht, D. S.; Grüner, G. Percolation in Transparent and Conducting Carbon Nanotube Networks Nano Lett. 2004, 4, 2513-2517
76. Tauc, J. Absorption Edge and Internal Electric Fields in Amorphous Semiconductors Mater. Res. Bull. 1970, 5, 721-729
77. 3 Phys. Rev. B 1996, 54, 2436-2445
78. 2 Particles: Size Quantization versus Direct Transitions in This Indirect Semiconductor? J. Phys. Chem. 1995, 99, 16646-16654
79. Tzolov, M. B.; Kuo, T.-F.; Straus, D. A.; Yin, A. Xu. Carbon Nanotubes-Silicon Heterojunction Arrays and Infrared Photocurrent Responses J. Phys. Chem. C 2007, 111, 5800-5804
80. Dukovic, G.; Wang, F.; Song, D.; Sfeir, M. Y.; Heinz, T. F.; Brus, L. E. Structural Dependence of Excitonic Optical Transitions and Band-Gap Energies in Carbon Nanotubes Nano Lett. 2005, 5, 2314-2318
81. Minot, E. D.; Yaish, Y.; Sazonova, V.; Park, J.-Y.; Brink, M.; McEuen, P. L. Tuning Carbon Nanotube Band Gaps with Strain Phys. Rev. Lett. 2003, 90, 156401
82. Martel, R.; Schmidt, T.; Shea, H. R.; Hertel, T.; Avouris, P. Single- and Multi-Wall Carbon Nanotube Field-Effect Transistors Appl. Phys. Lett. 1998, 73, 2447-2449
83. Gülseren, O.; Yildirim, T.; Ciraci, S.; Kilič, Č. Reversible Band-Gap Engineering in Carbon Nanotubes by Radial Deformation Phys. Rev. B 2002, 65, 155410
84. Yang, L.; Anantram, M. P.; Han, J.; Lu, J. P. Band-gap Change of Carbon Nanotubes: Effect of Small Uniaxial and Torsional Strain Phys. Rev. B 1999, 60, 13874-13878
85. Ni, Z. H.; Yu, T.; Lu, Y. H.; Wang, Y. Y.; Feng, Y. P.; Shen, Z. X. Uniaxial Strain on Graphene: Raman Spectroscopy Study and Band-Gap Opening ACS Nano 2008, 2, 2301-2305
86. Leeuw, T. K.; Tsyboulski, D. A.; Nikolaev, P. N.; Bachilo, S. M.; Arepalli, S.; Weisman, R. B. Strain Measurements on Individual Single-Walled Carbon Nanotubes in a Polymer Host: Structure-Dependent Spectral Shifts and Load Transfer Nano Lett. 2008, 8, 826-831
87. Rashidi-Huyeh, M.; Palpant, B. Counterintuitive Thermo-Optical Response of Metal-dielectric Nanocomposite Materials as a Result of Local Electromagnetic Field Enhancement Phys. Rev. B 2006, 74, 075405
88. Nagel, S. R.; Schnatterly, S. E. Frequency Dependence of the Drude Relaxation Time in Metal Films Phys. Rev. B 1974, 9, 1299-1303
89. Johnson, P. B.; Christy, R. W. Optical Constants of the Noble Metals Phys. Rev. B 1972, 6, 4370-4379
90. Enoch, S.; Tayeb, G. r.; Sabouroux, P.; Guérin, N.; Vincent, P. A Metamaterial for Directive Emission Phys. Rev. Lett. 2002, 89, 213902
91. Kohlman, R. S.; Joo, J.; Wang, Y. Z.; Pouget, J. P.; Kaneko, H.; Ishiguro, T.; Epstein, A. J. Drude Metallic Response of Polypyrrole Phys. Rev. Lett. 1995, 74, 773-776
92. Novotny, L.; Hecht, B. Surface plasmons Principles of Nano-Optics; Cambridge University Press: New York, 2006.
93. Hwang, E. H.; Das Sarma, S. Dielectric Function, Screening, and Plasmons in Two-Dimensional Graphene Phys. Rev. B 2007, 75, 205418
94. Li, B.; Sui, G.; Zhong, W.-H. Single Negative Metamaterials in Unstructured Polymer Nanocomposites Toward Selectable and Controllable Negative Permittivity Adv. Mater. 2009, 21, 4176-4180
95. Zhu, J.; Luo, Z.; Wu, S.; Haldolaarachchige, N.; Young, D. P.; Wei, S.; Guo, Z. Magnetic Graphene Nanocomposites: Electron Conduction, Giant Magnetoresistance and Tunable Negative Permittivity J. Mater. Chem. 2012, 22, 835-844