The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Electron interactions in graphene in a strong magnetic field
Open accessAbstract
Graphene in the quantum Hall regime exhibits a multicomponent structure due to the electronic spin and chirality degrees of freedom. While the applied field breaks the spin symmetry explicitly, we show that the fate of the chirality SU(2) symmetry is more involved: The leading symmetry-breaking terms differ in origin when the Hamiltonian is projected onto the central $(n=0)$ rather than any other Landau levels. Our description at the lattice level leads to a Harper equation; in its continuum limit, the ratio of lattice constant $a$ and magnetic length ${l}_{B}$ assumes the role of a small control parameter in different guises. The leading symmetry-breaking terms are lattice effects, algebraically small in $a∕{l}_{B}$. We analyze the Haldane pseudopotentials for graphene, and evaluate the easy-plane anisotropy of the graphene ferromagnet.
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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
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Landau-Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer
McCann, E., & Fal’ko, V. I. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.086805 · Cited by 2,060
Slonczewski, J. C., & Weiss, P. R. (1958) · Physical Review · doi:10.1103/physrev.109.272 · Cited by 1,647
Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
Zitterbewegung, chirality, and minimal conductivity in graphene
Katsnelson, M. I. (2006) · The European Physical Journal B - Condensed Matter and Complex Systems · doi:10.1140/epjb/e2006-00203-1 · Cited by 660
Cited by
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
“…of the di erent broken symmetry phases, in a leansystem, is determined by latti e e e ts, so that it is re-du ed by fa tors of order a/lB, where a is a length ofthe order of the latti e spa ing, and lB is the magneti length (Ali ea and Fisher, 2006, 2007; Goerbig et al.,2006; Wang et al., 2007).”
BackgroundTOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
BERGHOLTZ, E. J., & LIU, Z. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921330017x · Cited by 522
Topological Flat Band Models and Fractional Chern Insulators
Bergholtz, E. J., & Liu, Z. (2013) · doi:10.17169/refubium-19043 · Cited by 459
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
Metadata
- Authors
- Goerbig, M. O., Moessner, R., & Douçot, B.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-10-31
- Volume
- 74
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2136716286
- Cited by
- 211
- References
- 6
- FWCI
- 14.11
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
