A review on the flexural mode of graphene: lattice dynamics, thermal conduction, thermal expansion, elasticity and nanomechanical resonance

2014/08/31 by Jin-Wu Jiang, Bing-Shen Wang, Jian‐Sheng Wang +2 · 126 citations
Materials Science · Physics and Astronomy · #Acoustics #Carbon Nanotubes in Composites #Composite material #Condensed matter physics #Elasticity (physics) #Flexural strength #Graphene #Graphene research and applications #Lattice (music) #Materials science #Nanotechnology #Physics #Thermal #Thermal conduction #Thermal expansion #Thermal properties of materials #Thermodynamics #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1088/0953-8984/27/8/083001

published in Journal of Physics Condensed Matter 27(8), 083001 (IOP Publishing) · Journal of Physics: Condensed Matter, topical review, published

openalex publication_date 2015/01/23 · arxiv created 2015/01/30 · arxiv updated 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Single-layer graphene is so flexible that its flexural mode (also called the ZA mode, bending mode, or out-of-plane transverse acoustic mode) is important for its thermal and mechanical properties. Accordingly, this review focuses on exploring the relationship between the flexural mode and thermal and mechanical properties of graphene. We first survey the lattice dynamic properties of the flexural mode, where the rigid translational and rotational invariances play a crucial role. After that, we outline contributions from the flexural mode in four different physical properties or phenomena of graphene-its thermal conductivity, thermal expansion, Young's modulus and nanomechanical resonance. We explain how graphene's superior thermal conductivity is mainly due to its three acoustic phonon modes at room temperature, including the flexural mode. Its coefficient of thermal expansion is negative in a wide temperature range resulting from the particular vibration morphology of the flexural mode. We then describe how the Young's modulus of graphene can be extracted from its thermal fluctuations, which are dominated by the flexural mode. Finally, we discuss the effects of the flexural mode on graphene nanomechanical resonators, while also discussing how the essential properties of the resonators, including mass sensitivity and quality factor, can be enhanced.

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