Layer number determination in graphene using out-of-plane vibrations
Felix Herziger, Patrick May, Janina Maultzsch

TL;DR
This paper introduces a double-resonant Raman mode in few-layer graphene, enabling reliable layer number determination through out-of-plane vibrations, with potential applications to other layered materials.
Contribution
It reports a novel Raman mode (N mode) that accurately determines graphene layer number by analyzing out-of-plane phonons, supported by simulations and experimental validation.
Findings
The N mode appears on the low-frequency side of the G mode.
Simulations match experimental spectra in bilayer graphene.
The method is transferable to other layered materials like boron nitride.
Abstract
We present a double-resonant Raman mode in few-layer graphene, which is able to probe the number of graphene layers reliably. This so-called N mode on the low-frequency side of the G mode results from a double-resonant Stokes/anti-Stokes process combining a LO and a ZO' phonon. Simulations of the double-resonant Raman spectra in bilayer graphene show very good agreement with the experiments. The investigation of the out-of-plane ZO' phonon for layer number determination is expected to be transferable to other layered materials like boron nitride.
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