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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.47 [2009] >
IJPAP Vol.47(09) [September 2009] >
| Title: | Fractional quantum Hall effect in graphene |
| Authors: | Sahoo, S
Das, S |
| Keywords: | Fractional quantum Hall effect
Graphene
Landau levels
Half effect |
| Issue Date: | Sep-2009 |
| Publisher: | CSIR |
| Abstract: | The electrons in
most of the conductors can be described by non-relativistic quantum mechanics
but the electrons in graphene behave as massless relativistic particles, called
Dirac fermions, though their speed is given by the Fermi velocity. The
relativistic nature of the energy dispersion relation of electrons in graphene modifies
the inter electron interactions. This results in the observation of a number of
peculiar properties e.g. anomalous quantum Hall effect. We study the fractional
quantum Hall effect (FQHE) in graphene. The quantized Hall conductivity in
graphene in FQHE is shown to be:
 , where n = 0, 1, 2, 3 …
This
fascinating result shows that the FQHE in graphene has a sequence of states
which is different from the sequence found in the 2D electron gas. |
| Page(s): | 658-662 |
| ISSN: | 0975-1041 (Online); 0019-5596 (Print) |
| Source: | IJPAP Vol.47(09) [September 2009]
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