Journal
PHYSICAL REVIEW B
Volume 84, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.125416
Keywords
-
Funding
- US Department of Energy [DOE-FG02-00ER45818]
Ask authors/readers for more resources
We obtain an analytical expression for the Ruderman-Kittel-Kasuya-Yosida interaction J in elctron- or hole-doped graphene for linear Dirac bands. The results agree very well with the numerical calculations for the full tight-binding band structure in the regime where the linear band structure is valid. The analytical result, expressed in terms of the Meijer G-function, consists of the product of two oscillatory terms, one coming from the interference between the two Dirac cones and the second coming from the finite size of the Fermi surface. For large distances, the Meijer G-function behaves as a sinusoidal term, leading to the result J similar to R(-2)k(F) sin(2k(F)R){1 + cos [((K) over right arrow - (K') over right arrow).(R) over right arrow]} for moments located on the same sublattice. The R-2 dependence, which is the same for the standard two-dimensional electron gas, is universal irrespective of the sublattice location and the distance direction of the two moments except when k(F) = 0 (undoped case), where it reverts to the R-3 dependence. These results correct several inconsistencies found in the literature.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available