@article{ISI:000283538200004,
 abstract = {Using a continuum Dirac theory, we study the density and spin response
of zigzag edge-terminated graphene ribbons subjected to edge potentials
and Zeeman fields. Our analytical calculations of the density and spin
responses of the closed system (fixed particle number) to the static
edge fields, show a highly nonlinear Weber-Fechner type behavior where
the response depends logarithmically on the edge potential. The
dependence of the response on the size of the system (e.g., width of a
nanoribbon) is also uncovered. Zigzag edge graphene nanoribbons,
therefore, provide a realization of response of organs such as the eye
and ear that obey Weber-Fechner law. We validate our analytical results
with tight-binding calculations. These results are crucial in
understanding important effects of electron-electron interactions in
graphene nanoribbons such as edge magnetism, etc., and also suggest
possibilities for device applications of graphene nanoribbons.},
 article-number = {155448},
 author = {Bhowmick, Somnath and Shenoy, Vijay B.},
 doi = {10.1103/PhysRevB.82.155448},
 eissn = {1550-235X},
 issn = {1098-0121},
 journal = {PHYSICAL REVIEW B},
 month = {OCT 27},
 number = {15},
 orcid-numbers = {Bhowmick, Somnath/0000-0003-4094-5204},
 times-cited = {16},
 title = {Weber-Fechner type nonlinear behavior in zigzag edge graphene
nanoribbons},
 unique-id = {ISI:000283538200004},
 volume = {82},
 year = {2010}
}