Ballistic thermal conductance in graphene nanoribbon with double-cavity structure
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(a) ZGNR with n = 8 or 14 width (n is the number of zigzag chains forming the ribbon) modulated with a double-cavity defect. (b) Schematic illustration of a nanowire corresponding to (a) with a defect with the width c = 2α and the length . Here, the lengths between the defect region and the two lateral sides of main quantum wire are a = 3α and b = (n-5)α, respectively. Here, .
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(Color online) (a) and (d) describe the phonon transmission function with 14-ZGNR without the double-cavity (solid curve) and with the double-cavity (dashed curve), and with 8-ZGNR without the double-cavity (dotted curve) and with the double-cavity (dashed-dotted curve) for out-of-plane modes with the force-constant model and for horizontally polarized SH mode with the elastic wave continuum model, respectively. (b) and (e) describe the phonon dispersion relation with 14-ZGNR without the double-cavity (solid curve) and with 8-ZGNR without the double-cavity (dotted curve) for the left lead, respectively. (c) and (f) describe the corresponding total thermal conductance divided by temperature K/T reduced by the zero-temperature universal value , respectively. All structural parameters of the thermal conductance curves are the same as (a) and (d). Here, Δ = πυ/(a + b + c).
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