Absence of Wigner Crystallization in Graphene

ORAL

Abstract

We study the possibility of Wigner crystal phase as a ground state in graphene. The Wigner crystal phase results when the ratio of potential to kinetic energy is much higher than one, and generally, the particle density serves as a tuning parameter. Our calculation shows that potential and kinetic energy have the same density dependence resulting in a density independent ratio of energies. Moreover, kinetic energy is higher than potential energy; which rules out the possibility of Wigner crystallization. The physical reason of this observation can be traced back to the linear dispersion of carriers of Graphene, the Dirac ferminos. cond-mat/0609440; Physical Review B (to be published)

*Supported by T-11 group, LANL.

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Authors

  • Hari Dahal

    • Boston College, Physics Department

  • Yogesh Joglekar

    • Department of Physics, Indiana University-Purdue University Indianapolis
    • IUPUI

  • Kevin Bedell

    • Boston College, Physics Department
    • Boston College

  • A. Balatsky

    • CINT, T-11, Los Alamos National Laboratory
    • Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545
    • Theoretical Division, Los Alamos National Laboratory
    • Los Alamos National Laboratory
    • LANL