journal article·2016-09-13Open access

Scattering of Dirac Electrons by Randomly Distributed Nitrogen Substitutional Impurities in Graphene

Khamdam Rakhimov, Andrey Chaves, Philippe Lambin

Applied Sciences· Volume 6· Issue 9

Abstract

The propagation of wave packets in a monolayer graphene containing a random distribution of dopant atoms has been explored. The time-dependent, two-dimensional Weyl-Dirac equation was solved numerically to propagate an initial Gaussian-type wave front and to investigate how the set of impurities influences its motion. It has been observed that the charge transport in doped graphene differs from the pristine case. In particular, nitrogen substitutional doping reduces the charge mobility in graphene due to backscattering effects.
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Research context

OpenAlex topics: Graphene research and applications · Quantum and electron transport phenomena · Quantum optics and atomic interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Physics, University of Namur, Rue de Bruxelles 61, 5000 Namur, Belgium

Departamento de Física, Universidade Federal do Ceará, CP 6030, CEP 60455-900 Fortaleza-CE, Brazil

Funding

FP7 · H2020 · CNPq · FNRS

References (64)

Show source-provided references
1. Electric field effect in atomically thin carbon films10.1126/science.1102896 ↗
2. Two-dimensional gas of massless Dirac fermions in graphene10.1038/nature04233 ↗
3. Experimental observation of the quantum Hall effect and Berry’s phase in graphene10.1038/nature04235 ↗
4. The rise of graphene10.1038/nmat1849 ↗
5. A roadmap for graphene10.1038/nature11458 ↗
6. Chemical doping of graphene10.1039/C0JM02922J ↗
7. Doping graphene with boron: A review of synthesis methods, physicochemical characterization, and emerging applications10.1039/C5TA10599D ↗
8. Review on recent progress in nitrogen-doped graphene: Synthesis, characterization, and its potential applications10.1021/cs200652y ↗
9. Synthesis, properties and applications of graphene doped with boron, nitrogen and other elements10.1016/j.nantod.2014.04.010 ↗
10. Doping of graphene by low-energy ion beam implantation: Structural, electronic, and transport properties10.1021/acs.nanolett.5b01280 ↗
11. Nitrogen doping in carbon nanotubes10.1166/jnn.2005.304 ↗
12. Nitrogen-doped graphene sheets grown by chemical vapor deposition: Synthesis and influence of nitrogen impurities on carrier transport10.1021/nn402102y ↗
13. N-doped graphene field-effect transistors with enhanced electron mobility and air-stability10.1002/smll.201303768 ↗
14. Nitrogen-doped graphene with pyridinic dominance as a highly active and stable electrocatalyst for oxygen reduction10.1021/acsami.5b02902 ↗
15. The role of defects and doping in 2D graphene sheets and 1D nanoribbons10.1088/0034-4885/75/6/062501 ↗
16. Local spectrum rearrangement in impure graphene10.1103/PhysRevB.75.245401 ↗
17. Formation, stabilities, and electronic properties of nitrogen defects in graphene10.1103/PhysRevB.84.245446 ↗
18. B and N doping in graphene ruled by grain boundary defects10.1103/PhysRevB.85.035404 ↗
19. Long-range interactions between substitutional nitrogen dopants in graphene: Electronic properties calculations10.1103/PhysRevB.86.045448 ↗
20. Electronic and transport properties of unbalanced sublattice N-doping in graphene10.1021/nl304351z ↗
21. Sublattice imbalance of substitutionally doped nitrogen in graphene10.1016/j.carbon.2014.05.069 ↗
22. Electronic and magnetic properties of single-layer graphene doped by nitrogen atoms10.1140/epjb/e2014-40719-y ↗
23. Electron structure and electric conductivity of graphene with a nitrogen impurity10.15407/ujpe60.02.0170 ↗
24. Charge transport in chemically doped 2D graphene10.1103/PhysRevLett.101.036808 ↗
25. Nitrogen and boron doping effects on the electrical conductivity of graphene and nanotube10.1016/j.solidstatesciences.2011.03.008 ↗
26. Modeling electronic properties and quantum transport in doped and defective graphene
27. Effects of nitrogen-doping configurations with vacancies on conductivity in graphene10.1016/j.physleta.2014.05.022 ↗
28. Defects, quasibound states, and quantum conductance in metallic carbon nanotubes10.1103/PhysRevLett.84.2917 ↗
29. Mesoscopic transport in chemically doped carbon nanotubes10.1103/PhysRevLett.92.256805 ↗
30. Reduced backscattering in potassium-doped nanotubes: Ab initio and semiempirical simulations10.1103/PhysRevB.73.125414 ↗
31. Long-range resonant effects on electronic transport of nitrogen-doped carbon nanotubes10.1103/PhysRevB.89.045407 ↗
32. Transport regimes in nitrogen-doped carbon nanotubes: Perfect order, semi-random and random disorder cases10.1103/PhysRevB.91.035428 ↗
33. Anomalous doping effects on charge transport in graphene nanoribbons10.1103/PhysRevLett.102.096803 ↗
34. IxV curves of boron and nitrogen doping zigzag graphene nanoribbons10.1002/qua.22690 ↗
35. Electronic and transport properties of boron and nitrogen doped graphene nanoribbons: An ab initio approach10.1007/s13204-013-0220-2 ↗
36. Electronic transport in graphene nanoribbons with sublattice-asymmetric doping10.1103/PhysRevB.93.035446 ↗
37. Nitrogen doping position dependent rectification of spin-polarized current and realization of multifunction in zigzag graphene nanoribbons with asymmetric edge hydrogenation10.1007/s11664-015-4233-3 ↗
38. Foa Tores, L.E.F., Roche, S., and Charlier, J.C. (2014). Introduction to Graphene-Based Nanomaterials: From Electronic Structure to Quantum Transport, Cambridge University Press.10.1017/CBO9781139344364 ↗
39. Self-consistent effective-mass theory for intralayer screening10.1103/PhysRevB.29.1685 ↗
40. The electronic properties of graphene10.1103/RevModPhys.81.109 ↗
41. Wave packet dynamics in a monolayer graphene10.1103/PhysRevB.78.235321 ↗
42. Transient zitterbewegung of charge carriers in mono- and bilayer graphene, and carbon nanotubes10.1103/PhysRevB.76.195439 ↗
43. Klein tunneling in the presence of random impurities10.1142/S0129183112500805 ↗
44. Egger, R., Matrasulov, D., and Rakhimov, K. (2013). Low-Dimensional Functional Materials, Springer.10.1007/978-94-007-6618-1 ↗
45. Wave-packet dynamics and valley filter in strained graphene10.1103/PhysRevB.82.205430 ↗
46. Wavepacket scattering of Dirac and Schrödinger particles on potential and magnetic barriers
47. Wave packet dynamics in semiconductor quantum rings of finite width10.1103/PhysRevB.80.125331 ↗
48. The split-operator technique for the study of spinorial wavepacket dynamics10.4208/cicp.110914.281014a ↗
49. Segregation of sublattice domains in nitrogen-doped graphene10.1021/ja408463g ↗
50. Pyridinic N doped graphene: Synthesis, electronic structure, and electrocatalytic property10.1039/c1jm10845j ↗
51. Structural and chemical dynamics of pyridinic-nitrogen defects in graphene10.1021/acs.nanolett.5b02831 ↗
52. Screening effect and impurity scattering in monolayer graphene10.1143/JPSJ.75.074716 ↗
53. Quantum transport of massless dirac fermions10.1103/PhysRevLett.98.076602 ↗
54. Zitterbewegung of relativistic electrons in a magnetic field and its simulation by trapped ions10.1103/PhysRevD.82.125031 ↗
55. Single-electron states and conductance in lateral-surface superlattices10.1103/PhysRevB.44.10901 ↗
56. Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations10.1016/0375-9601(90)90962-N ↗
57. Visualizing individual nitrogen dopants in monolayer graphene10.1126/science.1208759 ↗
58. Scanning tunneling microscopy simulations of n-doped graphene and single-walled carbon nanotubes10.1021/nn1002425 ↗
59. Localized state and charge transfer in nitrogen-doped graphene10.1103/PhysRevB.85.161408 ↗
60. Charge transfer and electronic doping in nitrogen-doped graphene10.1038/srep14564 ↗
61. B and N codoping effect on electronic transport in carbon nanotubes10.1103/PhysRevB.81.193411 ↗
62. Electrical resistance of disordered one-dimensional lattices10.1080/14786437008238472 ↗
63. Low bias short channel impurity mobility in graphene from first principles10.1063/1.4748326 ↗
64. Conductance quantization in graphene nanoribbons10.1103/PhysRevB.78.161409 ↗