Authors: R. Verma, S. Bhattacharya, S. Mahapatra
Affilation: Indian Institute of Science, India
Pages: 21 - 24
Keywords: thermal conductivity, Joule-heating, phonons
The tremendous rise in Joule-heating in conventional ICs has led down ITRS to ensure on material alternatives that surpasses break-down current density and thermal conductivity (κ) beyond room temperature (RT). In recent years, suspended metallic single layer graphene (SLG) is gaining attraction due to overcoming these barriers at RT. However, this has led tremendous controversy about the role of out-of-plane (ZA) phonons modes. The motivation of this study concerns of realizing the role of ZA phonons in graphene κ through analytically. There is also a deficiency in providing a physics-based model of electrical resistance R(T) which is needed to estimate the electro-thermal performances through CAD tools. In this work, we analyze self-heating in suspended SLG by using ZA dominated κ for both isotopically pure and impure on the basis of second order three phonon Umklapp, mass difference and edge roughness scatterings. This is followed by the extraction of R(T) as a result of Joule-heating along the sheet when a constant current is passed through it. It is demonstrated that a quadratic ZA phonon exhibits a T^-2 law beyond RT on κ, whereas below RT the trend matches with the experimentally established T^1.5 behaviour.