# Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene

Source: [Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene](<https://www.sota2.com/research/paper/68fa28962c2a3760193c8e34>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:54.811Z

Authors: K. Shizuya

Published: 2009-01-19T10:32:13.000Z

## Abstract

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, split into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an isolated quartet of pseudo-zero-mode levels at half filling in the presence of an in-plane electric field and the Coulomb interaction, with focus on revealing further controllable features in bilayer graphene. The half-filled pseudo-zero-mode levels support, via orbital level mixing, charge carriers with nonzero electric moment, which would lead to field-induced level splitting and the current-induced quantum Hall effect. It is shown that the Coulomb interaction enhances the effect of the in-plane field and their interplay leads to rich spectra of collective excitations, pseudospin waves, accessible by microwave experiments; also a duality in the excitation spectra is revealed.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0901.2803>)

[PDF](<https://arxiv.org/pdf/0901.2803.pdf>)