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Graphene electronic structure in charge density waves

  • John M. Vail (a1), Oscar J. Hernandez (a2), Mingsu Si (a3) and Zhoufei Wang (a4)

Abstract

We introduce the idea that the electronic band structure of a charge density wave system may mimic that of graphene. In that case, a class of materials quite different from graphene might be opened up to exploit graphene’s remarkable properties. For such materials, their dynamical rather than static properties are crucial. The charge density wave system requires a wave geometry simply related to graphene and self-consistency among the electrons which requires the net Coulomb and phonon-mediated parts of the electron–electron interactions to be attractive. Our model leads to an analytical expression for the total energy in terms of the effective electron mass µ, the electron density ρ0, and the strength ${\tilde v_K}$ of the net electron–electron interaction. We examine the limitations set upon ${\tilde v_K}$ by self-consistency, stability, and the approximation in the electronic state calculation and find them to be mutually compatible.

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a) Address all correspondence to this author. e-mail: john.vail@umanitoba.ca

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Contributing Editor: Susan B. Sinnott

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References

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1. Wallace, P.R.: The band theory of graphite. Phys. Rev. 71, 622 (1947).
2. Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V., and Firsov, A.A.: Electric field effect in atomically thin carbon films. Science 306, 666 (2004).
3. Fröhlich, H.: On the theory of superconductivity: The one-dimensional case. Proc. R. Soc. London, Ser. A 223, 296 (1954).
4. Cartlidge, E.: Graphene superconductivity seen. Phys. World 28(10), 6 (2015).
5. Rahnejat, K.G., Howard, A., Shuttleworth, N.E., Schofield, S.R., Iwaya, K., Hirijibehedin, C.F., Renner, C.H., Aeplli, G., and Ellerby, M.: Charge density waves in the graphene sheets of the superconductor CaC6 . Nat. Commun. 2, 558 (2011).
6. Ashcroft, N.W. and Mermin, N.D.: Solid State Physics (W. B. Saunders, Philadelphia, USA, 1976); ch. 10.

Keywords

Graphene electronic structure in charge density waves

  • John M. Vail (a1), Oscar J. Hernandez (a2), Mingsu Si (a3) and Zhoufei Wang (a4)

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