Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene

K. Shizuya
Phys. Rev. B 86, 045431 – Published 23 July 2012

Abstract

In a magnetic field, bilayer graphene supports an octet of zero-energy Landau levels with an extra twofold degeneracy in Landau orbitals n=0 and 1. It is shown that this orbital degeneracy is lifted due to Coulombic quantum fluctuations of the valence band (the Dirac sea); this is a quantum effect analogous to the Lamb shift in the hydrogen atom. A detailed study is made of how these zero-energy levels evolve, with filling, into a variety of pseudo-zero-mode Landau levels in the presence of possible spin and valley breaking and Coulomb interactions, and a comparison is made with experimental results.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 9 April 2012

DOI:https://doi.org/10.1103/PhysRevB.86.045431

©2012 American Physical Society

Authors & Affiliations

K. Shizuya

  • Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 4 — 15 July 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×