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Theory of integer quantum Hall effect in graphene
Open accessAbstract
The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of Coulomb interaction on the scale of lattice constant. It is predicted that at a large in-plane component of the magnetic field such ordering may be present only at the filling factor $f=\ifmmode\pm\else\textpm\fi{}1$ and absent otherwise. Other experimental consequences of the theory are outlined.
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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
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The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“Therefore, the Hall on-du tivity is (Gusynin and Sharapov, 2005; Herbut, 2007;Peres et al., 2006 ,d; S hakel, 1991): σxy = I VH = c VH δE δΦ = ±2(2N + 1)e 2 h , (111)without any Hall plateau at N = 0.”
AC CONDUCTIVITY OF GRAPHENE: FROM TIGHT-BINDING MODEL TO 2 + 1-DIMENSIONAL QUANTUM ELECTRODYNAMICS
GUSYNIN, V. P., SHARAPOV, S. G., & CARBOTTE, J. P. (2007) · International Journal of Modern Physics B · doi:10.1142/s0217979207038022 · Cited by 420
Compact SQUID realized in a double-layer graphene heterostructure
Indolese, D. I., Karnatak, P., Kononov, A., Delagrange, R., Haller, R., Wang, L., Makk, P., Watanabe, K., Taniguchi, T., & Schönenberger, C. (2020) · Nano Letters · doi:10.1021/acs.nanolett.0c02412 · Cited by 20
Metadata
- Authors
- Herbut, I. F.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-18
- Volume
- 75
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2044816604
- Cited by
- 159
- References
- 1
- FWCI
- 6.58
- Type
- journal article
- Language
- en
- Open access
- green
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