Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene

Snizhko, Kyrylo and Cheianov, Vadim and Simon, Steven H. (2012) Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene. Physical review B, 85 (20). ISSN 1098-0121

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Abstract

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works, phase diagrams were calculated based on a single Landau level approximation. We go beyond this approximation and investigate the influence of polarization effects and virtual interband transitions on the stability of fractional quantum Hall states in bilayer graphene. We find that for realistic values of the dielectric constant, the phase diagram is strongly modified by these effects. We illustrate this by evaluating the region of stability of the Pfaffian state.

Item Type:
Journal Article
Journal or Publication Title:
Physical review B
Additional Information:
©2012 American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
55532
Deposited By:
Deposited On:
29 Jun 2012 13:13
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Jul 2020 03:51