Abstract

We investigate ballistic thermal transport at low temperatures in graphene and phosphorene nanoribbons (PNRS) modulated with a double-cavity quantum structure. A comparative analysis for thermal transport in these two kinds of nanomaterials is made. The results show that the thermal conductance in PNRS is greater than that in graphene nanoribbons (GNRS). The ratio kG/kP (kG is the thermal conductivity in GNRS and kP is the thermal conductivity in PNRS) decreases with lower temperature or for narrower nanoribbons, and increases with higher temperature or for wider nanoribbons. The greater thermal conductance and thermal conductivity in PNRS originate from the lower cutoff frequencies of the acoustic modes.

Highlights

  • X b conductivity in a nanowire[33], and confined phonon dispersion and group velocity for GNRS34, and so on

  • The ratio DPWP/DGWG = 1.772 > 1 along the zigzag nanoribbon direction for k = 10 and DPWP/DGWG = 2.0553 > 1 along the armchair nanoribbon direction for k = 7. This shows for the single acoustic mode, which transports the same thermal conductance in the nanoribbon with the same chains across the ribbon, the kG in graphene nanoribbons (GNRS) is bigger than kP in phosphorene nanoribbons (PNRS)

  • The thermal transport properties in GNRS are systematically investigated using the continuum model of elastic waves at low temperatures

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Summary

Wb zigzag

Conductivity in a nanowire[33], and confined phonon dispersion and group velocity for GNRS34, and so on. A comparative analysis for the thermal transport properties in GNRS and PNRS is made using this model. It is shown that the influence of the Hamiltonian mixing between SV and P on the thermal conductance is very small at low temperatures[36], and these three modes have similar thermal transport properties. We only focus on the thermal transport properties of the SH mode in these two kinds of nanomaterials. Our results show that despite the same chains across the GNRS and PNRS or the same lateral widths, the quantized thermal conductance plateau is wider and the low-temperature thermal conductance is less in GNRS than in PNRS. KP is greater than kG in a certain low temperature range

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