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

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 n=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.

12 pages, 4 figures, revtex; added references, to appear in PRB

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Cited by in corpus (21)

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• Direct measurement of discrete valley and orbital quantum numbers in a multicomponent quantum Hall system
• Quantum Hall Effect Measurement of Spin-Orbit Coupling Strengths in Ultraclean Bilayer Graphene/WSe2 Heterostructures
• Composite fermion duality for half-filled multicomponent Landau Levels
• The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Spin-Valley Coherent Phases of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• Thermal Transport Signatures of Broken-Symmetry Phases in Graphene
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Symmetry characterization of the collective modes of the phase diagram of the $\nu =0$ quantum Hall state in graphene: Mean-field and spontaneously broken symmetries
• Landau Levels of Bilayer Graphene in a WSe${}_2$/Bilayer Graphene van der Waals Heterostructure
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Quantum Hall ferroelectric helix in bilayer graphene
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
• Landau Level Phases in Bilayer Graphene under Pressure at Charge Neutrality
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Orbital mixing in few-layer graphene and non-Abelian Berry phase
• Persistent current and orbital magnetization along a valley-contrasting junction in bilayer graphene in a magnetic field