Coulomb drag in monolayer and bilayer graphene

被引:66
作者
Hwang, E. H. [1 ]
Sensarma, Rajdeep [1 ]
Das Sarma, S. [1 ]
机构
[1] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
来源
PHYSICAL REVIEW B | 2011年 / 84卷 / 24期
关键词
COUPLED ELECTRON-SYSTEMS; GAS;
D O I
10.1103/PhysRevB.84.245441
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We theoretically calculate the interaction-induced frictional Coulomb drag resistivity between two graphene monolayers as well as between two graphene bilayers, which are spatially separated by a distance d. We show that the drag resistivity between graphene monolayers can be significantly affected by the intralayer momentum-relaxation mechanism. For energy-independent intralayer scattering, the frictional drag induced by interlayer electron-electron interaction goes asymptotically as rho(D) similar to T-2/n(4)d(6) and rho(D) similar to T-2/n(2)d(2) in the high-density (k(F)d >> 1) and low-density (k(F)d << 1) limits, respectively. When long-range charge impurity scattering dominates within the layer, the monolayer drag resistivity behaves as rho(D) similar to T-2/n(3)d(4) and T-2 ln(root n(d))/n for k(F)d >> 1 and k(F)d << 1, respectively. The density dependence of the bilayer drag is calculated to be rho(D) proportional to T-2/n(3) both in the large and small layer separation limit. In the large layer separation limit, the bilayer drag has a strong 1/d(4) dependence on layer separation, whereas this goes to a weak logarithmic dependence in the strong interlayer correlation limit of small layer separation. In addition to obtaining the asymptotic analytical formula for Coulomb drag in graphene, we provide numerical results for arbitrary values of density and layer separation interpolating smoothly between our asymptotic theoretical results.
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页数:9
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