Chirality-dependent phonon-limited resistivity in graphenes

ORAL

Abstract

We develop a theory for the temperature and density dependence of phonon-limited resistivity $\rho(T)$ in bilayer and multilayer graphene, and compare with the corresponding monolayer result. For the unscreened case, we find $\rho \approx C T$ with $C \propto v_{\rm F}^{-2}$ in the high-temperature limit, and $\rho \approx A T^4$ with $A \propto v_{\rm F}^{-2} k_{\rm F}^{-3}$ in the low-temperature Bloch-Gr\"uneisen limit, where $v_{\rm F}$ and $k_{\rm F}$ are Fermi velocity and Fermi wavevector, respectively. If screening effects are taken into account, $\rho \approx C T$ in the high-temperature limit with a renormalized $C$ which is a function of the screening length, and $\rho \approx A T^6$ in the low-temperature limit with $A \propto k_{\rm F}^{-5}$ but independent of $v_{\rm F}$. These relations hold in general with $v_{\rm F}$ and a chiral factor in $C$ determined by the specific chiral band structure for a given density.\\[4pt] Reference: Hongki Min, E. H. Hwang, and S. Das Sarma, arXiv:1011.0741 (unpublished).

*The work is supported by the NRI-SWAN, US-ONR and CNAM.

Authors

  • Hongki Min

    • Condensed Matter Theory Center, Department of Physics, University of Maryland
  • Euyheon Hwang

    • Condensed Matter Theory Center, Department of Physics, University of Maryland
    • Condensed Matter Theory Center, University of Maryland, College Park
  • Sankar Das Sarma

    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742
    • Condensed Matter Theory Center, Department of Physics, University of Maryland
    • Univ of Maryland-College Park
    • Condensed Matter Theory Center, Dept. of Physics, University of Maryland, College Park, MD
    • CMTC, Dept of Physics, University of Maryland, College Park
    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
    • Condensed Matter Theory Center, University of Maryland, College Park
    • Dep. of Physics, Condensed Matter Theory Center, University of Maryland, College Park, Maryland
    • University of Maryland
    • JQI and CMTC, University of Maryland
    • Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland