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Is Graphene in Vacuum an Insulator?
Open accessAbstract
We present evidence, from lattice Monte Carlo simulations of the phase diagram of graphene as a function of the Coulomb coupling between quasiparticles, that graphene in vacuum is likely to be an insulator. We find a semimetal-insulator transition at alpha_{g};{crit}=1.11+/-0.06, where alpha_{g} approximately 2.16 in vacuum, and alpha_{g} approximately 0.79 on a SiO2 substrate. Our analysis uses the logarithmic derivative of the order parameter, supplemented by an equation of state. The insulating phase disappears above a critical number of four-component fermion flavors 4<N_{f};{crit}<6. Our data are consistent with a second-order transition.
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Two-dimensional atomic crystals
Novoselov, K. S., Jiang, D., Schedin, F., Booth, T. J., Khotkevich, V. V., Morozov, S. V., & Geim, A. K. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0502848102 · Cited by 11,788
Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90361-8 · Cited by 1,719
Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90524-1 · Cited by 964
Scanning Tunneling Spectroscopy of Graphene on Graphite
Li, G., Luican, A., & Andrei, E. Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.176804 · Cited by 528
Cited by
Properties of graphene: a theoretical perspective
Abergel, D. S. L., Apalkov, V., Berashevich, J., Ziegler, K., & Chakraborty, T. (2010) · Advances in Physics · doi:10.1080/00018732.2010.487978 · Cited by 1,152
Dirac cones reshaped by interaction effects in suspended graphene
Elias, D. C., Gorbachev, R. V., Mayorov, A. S., Morozov, S. V., Zhukov, A. A., Blake, P., Ponomarenko, L. A., Grigorieva, I. V., Novoselov, K. S., Guinea, F., et al. (2011) · Nature Physics · doi:10.1038/nphys2049 · Cited by 845
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Quantum spin liquid emerging in two-dimensional correlated Dirac fermions
Meng, Z. Y., Lang, T. C., Wessel, S., Assaad, F. F., & Muramatsu, A. (2010) · Nature · doi:10.1038/nature08942 · Cited by 591
Artificial honeycomb lattices for electrons, atoms and photons
Polini, M., Guinea, F., Lewenstein, M., Manoharan, H. C., & Pellegrini, V. (2013) · Nature Nanotechnology · doi:10.1038/nnano.2013.161 · Cited by 453
Metadata
- Authors
- Drut, J. E., & Lähde, T. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-01-13
- Volume
- 102
- Issue
- 2
- Pages
- 026802-026802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2071708819
- Cited by
- 327
- References
- 5
- FWCI
- 17.07
- Type
- journal article
- Language
- en
- Open access
- green
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