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(a) The structure change from a GNR to a CNT. The thermal transport direction, along the x-axis, is perpendicular to the curvature direction. The curvature angle θ is the central angle subtended by the circular arc for a RGNR. (b) The schematic structures of a RGNR, where the center transport region(C) is connected to left (L) and right (R) semi-infinite thermal leads.
The thermal conductance σ versus the curvature angle θ for the 16-ZGNR and the 28-AGNR at 300 K. The inset shows the enlarged figure for θ from 330° to 360°.
The phonon transmission function versus phonon frequency (ω) for GNRs and their rolled structures. (a) a 16-ZGNR, a 16-ZRGNR (θ = 353°), and a (8, 8) CNT; (b) a 28-AGNR, a 28-ARGNR (θ = 353°), and a (14, 0) CNT.
The scaled thermal conductance (σ/S) versus the width W for (a) ZGNRs, (b) AGNRs and their corresponding rolled structures at 300 K. The size, W, is taken as the perimeter of CNTs for both GNRs and RGNRs. S = Wd, where d, the thickness of ribbon layer or tube wall, is taken as 0.335 nm.
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