Sum Rules for the Optical and Hall Conductivity in Graphene

By Valery P. Gusynin, S. Sharapov, J. P. Carbotte. 2007

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Graphene has two atoms per unit cell with quasiparticles exhibiting the Dirac-like behavior. These properties lead to interband in addition to intraband optical transitions and modify the $f$-sum rule on the longitudinal conductivity. The expected dependence of the corresponding spectral weight on the applied gate voltage $V_g$ in a field effect graphene transistor is $\sim {const}- |V_g|^{3/2}$. For $V_g =0$, its temperature dependence is $T^3$ rather than the usual $T^2$. For the Hall conductivity, the corresponding spectral weight is determined by the Hall frequency $\omega_H$ which is linear in the carrier imbalance density $\rho$, and hence proportional to $V_g$, and is different from the cyclotron frequency for Dirac quasiparticles.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/5e2a24ade463a2cda70a34f5e581557422419a64

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In Atomic and Molecular Physics, and Optics

  1. George W. Hanson
  2. Amin Khavasi
  3. Pai-Yen Chen
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  5. C. Argyropoulos

In Materials Chemistry

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