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Zero-mode anomalies of massless Dirac electron in graphene
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10.1063/1.3575639
/content/aip/journal/jap/109/10/10.1063/1.3575639
http://aip.metastore.ingenta.com/content/aip/journal/jap/109/10/10.1063/1.3575639
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Some examples of the density of states (dashed lines) and the conductivity (solid lines), calculated in the self-consistent Born approximation (SCBA) for short-range scatters (Ref. 23). The thin horizontal lines denote the Boltzmann conductivity and the thin dotted line denoted as “clean” represents the density of states in clean graphene.

Image of FIG. 2.
FIG. 2.

(Color online) Some examples of the Hall conductivity as a function of the Fermi energy calculated in a self-consistent Born approximation for short-range scatterers (Ref. 32).

Image of FIG. 3.
FIG. 3.

(Color online) Some examples of the inverse of Hall coefficient RH as a function of the electron concentration (Ref. 32). With the decrease of W, approaches . The thin solid lines are a linear extrapolation of the results for toward .

Image of FIG. 4.
FIG. 4.

(Color online) (a) Calculated density of states for scatterers with Gaussian potential with range d in units of and dimensionless scattering strength . The dashed line represents . (b) Calculated conductivity vs energy. The dotted lines represent the Boltzmann conductivity (see Ref. 33).

Image of FIG. 5.
FIG. 5.

(Color online) Calculated minimum conductivity at the Dirac point versus W for scatterers with Gaussian potential (Ref. 33).

Image of FIG. 6.
FIG. 6.

(Color online) Calculated conductivity vs the electron concentration for charged scatterers (Ref. 33).

Image of FIG. 7.
FIG. 7.

(Color online) The diamagnetic susceptibility and density of states of graphene with bandgap (Ref. 22).

Image of FIG. 8.
FIG. 8.

(Color online) Landau levels of graphene with gap . . The energy bands in the absence of a magnetic field are shown by solid lines in the gapped graphene and by thin dotted lines in gapless graphene. The left and right sides show the K and K′ points, respectively (Ref. 22).

Image of FIG. 9.
FIG. 9.

(Color online) Diamagnetic susceptibility vs wave vector q in ideal graphene (Ref. 21).

Image of FIG. 10.
FIG. 10.

(Color online) Diamagnetic susceptibility versus the Fermi energy for a fixed wave number q in ideal graphene.

Image of FIG. 11.
FIG. 11.

(Color online) Some examples of the diamagnetic susceptibility obtained in the self-consistent Born approximation for short-range scatterers (Ref. 19).

Image of FIG. 12.
FIG. 12.

(Color online) Susceptibility versus wave vector q for several values of Fermi wave vector kF in the presence of disorder.

Image of FIG. 13.
FIG. 13.

(Color online) Susceptibility versus Fermi energy for different values of q in the presence of disorder.

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/content/aip/journal/jap/109/10/10.1063/1.3575639
2011-05-31
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Zero-mode anomalies of massless Dirac electron in graphene
http://aip.metastore.ingenta.com/content/aip/journal/jap/109/10/10.1063/1.3575639
10.1063/1.3575639
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