DOI: 10.1098/rsta.2007.2157. Electron scattering on microscopic corrugations in graphene

Electron scattering on microscopic corrugations in graphene

10.1098/rsta.2007.2157

Crossref journal-article

The Royal Society

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (175)

Abstract

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (e.g. due to neutral impurities) is mostly irrelevant for electronic quality of graphene, which is likely to be controlled by charged impurities and ripples (microscopic corrugations of a graphene sheet). The latter are an inherent feature of graphene due to its two-dimensional nature and can also be an important factor in defining the electron mean-free path. We show that certain types of ripples create a long-range scattering potential, similar to Coulomb scatterers, and result in charge-carrier mobility practically independent of carrier concentration, in agreement with experimental observations.

Bibliography

Katsnelson, M. I., & Geim, A. K. (2007). Electron scattering on microscopic corrugations in graphene. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366(1863), 195â204.

Authors 2

M.I Katsnelson (first)
A.K Geim (additional)

References 48 Referenced 437

Abedpour N. Neek-Amal M. Asgari R. Shahbazi F. Nafari N. & Tabar M. R. R. 2007 Roughness of undoped graphene and its short-range induced gauge field. Phys. Rev. B 76 195407. (http://arxiv.org/abs/0705.0103). (10.1103/PhysRevB.76.195407)
10.1119/1.14623
10.1143/JPSJ.75.074716
10.1103/RevModPhys.54.437
{'key': 'e_1_3_2_6_1', 'first-page': '2856', 'article-title': "Berry's phase and the absence of back scattering in carbon nanotubes", 'volume': '67', 'author': 'Ando T', 'year': '1998', 'journal-title': 'J. Phys. Soc. Jpn'} / J. Phys. Soc. Jpn / Berry's phase and the absence of back scattering in carbon nanotubes by Ando T (1998)
Auslender M. & Katsnelson M. I. 2007 Generalized kinetic equations for charge carriers in graphene. (http://arxiv.org/abs/0707.2804). (10.1103/PhysRevB.76.235425)
Berestetskii V.B Lifshitz E.M& Pitaevskii L.P Relativistic quantum theory. 1971 Oxford UK:Pergamon.
Born M& Wolf E Principles of optics. 1986 Oxford UK:Pergamon.
10.1103/PhysRevB.74.041403
10.1103/PhysRevLett.97.226801
10.1038/nmat2011
10.1038/nmat1849
10.1103/PhysRevB.49.5749
Guinea F. Katsnelson M. I. & Vozmediano M. A. H. 2007 Midgap states and charge inhomogeneities in corrugated graphene. (http://arxiv.org/abs/0707.0682). (10.1103/PhysRevB.77.075422)
10.1103/PhysRevLett.98.186806
10.1021/nl070613a
10.1103/PhysRevB.74.201401
10.1016/S1369-7021(06)71788-6
10.1016/j.ssc.2007.02.043
10.1038/nphys384
Kim E.-A. & Castro Neto A. H. 2007 Graphene as an electronic membrane. (http://arxiv.org/cond-mat/0702562).
{'key': 'e_1_3_2_23_1', 'first-page': '26', 'article-title': 'Zur Theorie der Phasenumwandlungen II', 'volume': '11', 'author': 'Landau L.D', 'year': '1937', 'journal-title': 'Phys. Z. Sowjetunion'} / Phys. Z. Sowjetunion / Zur Theorie der Phasenumwandlungen II by Landau L.D (1937)
Landau L.D& Lifshitz E.M Quantum mechanics. 1977 Oxford UK:Pergamon.
Landau L.D& Lifshitz E.M Statistical physics part I. 1980 Oxford UK:Pergamon.
10.1103/PhysRevLett.97.146805
10.1103/PhysRev.176.250
10.1038/nature05545
10.1016/j.ssc.2007.02.047
10.1143/PTP.34.399
10.1103/PhysRevLett.97.016801
10.1051/jphys:019870048070108500
Nelson D.R Piran T& Weinberg S. 2004 Singapore:World Scientific.
Newton R.G Scattering theory of waves and particles. 1966 New York NY:McGraw-Hill.
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10.1126/science.1102896
10.1073/pnas.0502848102
10.1038/nature04233
10.1103/PhysRevB.74.235443
{'key': 'e_1_3_2_40_1', 'first-page': '81', 'article-title': 'Bemerkungen über Umwandlungstemperaturen', 'volume': '7', 'author': 'Peierls R.E', 'year': '1934', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta / Bemerkungen über Umwandlungstemperaturen by Peierls R.E (1934)
{'key': 'e_1_3_2_41_1', 'first-page': '177', 'article-title': 'Quelques proprietes typiques des corpses solides', 'volume': '5', 'author': 'Peierls R.E', 'year': '1935', 'journal-title': 'Ann. Inst. Henri. Poincare'} / Ann. Inst. Henri. Poincare / Quelques proprietes typiques des corpses solides by Peierls R.E (1935)
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10.1103/PhysRevLett.69.1209
10.1143/JPSJ.67.2421
Shytov A. V. Katsnelson M. I. & Levitov L. S. 2007 Vacuum polarization and screening of supercritical impurities in graphene. (http://arxiv.org/abs/0705.4663). (10.1103/PhysRevLett.99.236801)
Stolyarova E. Rim K. T. Ryu S. Maultzsch J. Kim P. Brus L. E. Heinz T. F. Hybertsen M. S. & Flynn G. W. 2007 High-resolution scanning tunnelling microscopy imaging of mesoscopic graphene sheets on an insulating surface. Proc. Natl Acad. Sci. USA 104 9209–9212. (doi:10.1073/pnas.0703337104).
Wehling T. O. Novoselov K. S. Morozov S. V. Vdovin E. E. Katsnelson M. I. Geim A. K. & Lichtenstein A. I. 2007 Molecular doping of graphene. (http://arxiv.org/abs/cond-mat/0703390). (10.1021/nl072364w)
10.1038/nature04235
Ziman J.M Electrons and phonons—the theory of transport phenomena in solids. 2001 Oxford UK:Oxford University Press. (10.1093/acprof:oso/9780198507796.001.0001)

Dates

Type	When
Created	17 years, 9 months ago (Nov. 20, 2007, 3:11 p.m.)
Deposited	3 years, 11 months ago (Aug. 28, 2021, 10:43 a.m.)
Indexed	2 weeks, 5 days ago (Aug. 3, 2025, 6:49 p.m.)
Issued	17 years, 9 months ago (Nov. 19, 2007)
Published	17 years, 9 months ago (Nov. 19, 2007)
Published Online	17 years, 9 months ago (Nov. 19, 2007)
Published Print	17 years, 6 months ago (Jan. 28, 2008)

Funders 0

None

BibTeX

@article{Katsnelson_2007, title={Electron scattering on microscopic corrugations in graphene}, volume={366}, ISSN={1471-2962}, url={http://dx.doi.org/10.1098/rsta.2007.2157}, DOI={10.1098/rsta.2007.2157}, number={1863}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={Katsnelson, M.I and Geim, A.K}, year={2007}, month=nov, pages={195–204} }

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