@article {Chen2008,
title = {Charged-impurity scattering in graphene},
journal = {Nat. Phys.},
volume = {4},
number = {5},
year = {2008},
month = {apr},
pages = {377{\textendash}381},
publisher = {Nature Publishing Group},
abstract = {Since the initial demonstration of the ability to experimentally isolate a single graphene sheet1, a great deal of theoretical work has focused on explaining graphene{\textquoteright}s unusual carrier-density-dependent conductivity (n), and its minimum value (min) of nearly twice the quantum unit of conductance (4e2/h) (refs~1, 2, 3, 4, 5, 6). Potential explanations for such behaviour include short-range disorder7, 8, 9, 10, {\textquoteright}ripples{\textquoteright} in graphene{\textquoteright}s atomic structure11, 12 and the presence of charged impurities7, 8, 13, 14, 15, 16, 17, 18. Here, we conduct a systematic study of the last of these mechanisms, by monitoring changes in electronic characteristics of initially clean graphene19 as the density of charged impurities (nimp) is increased by depositing potassium atoms onto its surface in ultrahigh vacuum. At non-zero carrier density, charged-impurity scattering produces the widely observed linear dependence1, 2, 3, 4, 5, 6 of (n). More significantly, we find that min occurs not at the carrier density that neutralizes nimp, but rather the carrier density at which the average impurity potential is zero15. As nimp increases, min initially falls to a minimum value near 4e2/h. This indicates that min in the present experimental samples1, 2, 3, 4, 5, 6 is governed not by the physics of the Dirac point singularity20, 21, but rather by carrier-density inhomogeneities induced by the potential of charged impurities6, 8, 14, 15.},
keywords = {2008, No Fellows},
issn = {1745-2473},
url = {http://dx.doi.org/10.1038/nphys935},
author = {J H Chen and Jang, C. and Shaffique Adam and Fuhrer, M. S. and Williams, E D and Ishigami, M.}
}
@article {Constantin2007,
title = {Persistence and survival in equilibrium step fluctuations},
journal = {J. Stat. Mech.},
volume = {2007},
number = {07},
year = {2007},
month = {jul},
pages = {P07011{\textendash}P07011},
abstract = {Results of analytic and numerical investigations of first-passage properties of equilibrium fluctuations of monatomic steps on a vicinal surface are reviewed. Both temporal and spatial persistence and survival probabilities, as well as the probability of persistent large deviations, are considered. Results of experiments in which dynamical scanning tunnelling microscopy is used to evaluate these first-passage properties for steps with different microscopic mechanisms of mass transport are also presented and interpreted in terms of theoretical predictions for appropriate models. Effects of discrete sampling, finite system size and finite observation time, which are important in understanding the results of experiments and simulations, are discussed.},
keywords = {2007, Single Fellow},
issn = {1742-5468},
url = {http://stacks.iop.org/1742-5468/2007/i=07/a=P07011},
author = {Constantin, M and Dasgupta, C and S. Das Sarma and Dougherty, D B and Williams, E D}
}