## 4 Theory of the Thermal Conductivity of Graphene and GNR
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Sample** & \(K\) (W/mK) & **Method** & **Description** & **Refs.** \\ \hline \hline \multicolumn{5}{c}{**Theoretical Data**} \\ \hline
1000–8000 & BTE, \(\gamma_{\text{1d}}\),\(\gamma_{\text{TA}}\) & Strong size dependence & [42] \\ \hline
2000–8000 & BTE, \(\gamma_{\text{s}}(q)\) & Strong edge, width and grunaisen parameter dependence & [41] \\ \cline{2-5} \(\sim\)2430 & BTE, 3 rd-order & \(K\) (graphene) \(\geq\)_K_ (carbon nanotube) & [107] \\  & interatomic force & & \\  & constants (IFCs) & & \\ \hline
1500–3500 & BTE, 3 rd-order IFCs & Strong size dependence & [54] \\ \hline
100–8000 & BTE & Strong length, size, shape and edge dependence & [43] \\ \hline
2000–4000 & Continuum approach & Strong isotope, point-defects and strain influence & [49, 95] \\  & + BTE & & \\ \hline
4000 & Ballistic & Strong width dependence & [108] \\ \hline
2900 & MD simulation & Strong dependence on the vacancy concentration & [58] \\ \hline
20000 & VFF + MD & Ballistic regime; flake length \(\sim\)5 μm; strong width & [109] \\  & simulation & and length dependence & \\ \hline
100–550 & MD simulation & Flake length \(L\) \(<\) 200 nm; strong length and defect & [65] \\  & & dependence & \\ \hline
3000 & MD simulation & Sheet length \(\sim\)15 μm; strong size dependence & [68] \\ \hline
2360 & MD simulation & _L_\(\sim\)5 μm; strong length dependence & [70] \\ \hline
4000–6000 & MD simulation & Strong strain dependence & [74] \\ \hline
1800 & MD simulation & 6 nm \(\times\) 6 nm sheet; isolated & [72] \\ \hline
1000–1300 & MD simulation & 6 nm \(\times\) 6 nm sheet; Cu—supported; strong dependence on the interaction strength between graphene and substrate & \\ \hline FLG & 1000–4000 & BTE, \(\gamma_{\text{s}}(q)\) & \(n\) = \(8-1\), strong size dependence & [31] \\ \hline FLG & 1000–3500 & BTE, 3 rd-order IFCs & \(n\) = \(5-1\), strong size dependence & [54] \\ \cline{2-5}  & 2000–3300 & BTE, 3 rd-order IFCs & \(n\) = \(4-1\) & [55] \\ \cline{2-5}  & 580–880 & MD simulation & \(n\) = \(5-1\), strong dependence on the Van-der Vaals & [59] \\  & & bond strength & \\ \hline \multirow{7}{*}{GNRs} & 1000–7000 & Theory: molecular dynamics, Tersoff & Strong ribbon width and edge dependence & [57] \\ \cline{2-5}  & 5500 & BTE & GNR with width of 5 μm; strong dependence on the edge roughness & [84] \\ \cline{2-5}  & 2000 & MD simulation & \(T\) = 400 K; 1.5 nm \(\times\) 5.7 nm zigzag GNR; strong & [88] \\ \cline{2-5}  & & edge chirality influence & \\ \cline{2-5}  & 30–80 & AIREBO potential + MD simulation & 10—zigzag and 19-arm-chair nanoribbons; strong defect dependence & [64, 66] \\ \cline{2-5}  & 3200–5200 & MD simulation & Strong GNRs width (_W_) and length dependence; & [67] \\  & & 9 nm \(\leq\)_L_ \(\leq\) 27 nm and 4 nm \(\leq\)_W_\(\leq\) 18 nm & \\ \cline{2-5}  & 400–600 & MD simulation & _K_–_L_\({}^{0.24}\); 100 nm \(\leq\)_L_\(\leq\) 650 nm & [69] \\ \hline GNRs supported on SiO\({}_{2}\) & 100–1000 & BTE & Strong edge and width dependence & [85] \\ \hline Few-layer & 500–300 & MD simulation & 10-ZGNR, \(n\) = 1,..., 5 & [71] \\ GNRs & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: _Cont._