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- W2726457654 abstract "In this work we conduct a close-up investigation into the nature of near-field heat transfer (NFHT) of two graphene sheets in parallel-plate geometry. We develop a fully microscopic and quantum approach using the nonequilibrium Green's function method. A Caroli formula for heat flux is proposed and numerically verified. We show that our near-field-to-black-body heat flux ratios generally exhibit $1/{d}^{ensuremath{alpha}}$ dependence, with an effective exponent $ensuremath{alpha}ensuremath{approx}2.2$, at long distances exceeding 100 nm and up to one micron; in the opposite $densuremath{rightarrow}0$ limit, the values converge to a range within an order of magnitude. We justify this feature by noting it is owing to the breakdown of local conductivity theory, which predicts a $1/d$ dependence. Furthermore, from the numerical result, we find that in addition to thermal wavelength ${ensuremath{lambda}}_{th}$ a shorter distance scale $ensuremath{sim}10ensuremath{-}100$ nm, comparable to the graphene thermal length $(ensuremath{hbar}{v}_{F}/{k}_{B}T)$ or Fermi wavelength $({k}_{F}^{ensuremath{-}1})$, marks the transition point between the short- and long-distance transfer behaviors; within that point, a relatively large variation of heat flux in response to doping level becomes a typical characteristic. The emergence of such large variation is tied to relative NFHT contributions from the intra- and interband transitions. Beyond that point, scaling of thermal flux $ensuremath{propto}1/{d}^{ensuremath{alpha}}$ can be generally observed." @default.
- W2726457654 created "2017-07-14" @default.
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- W2726457654 date "2017-10-16" @default.
- W2726457654 modified "2023-10-18" @default.
- W2726457654 title "Caroli formalism in near-field heat transfer between parallel graphene sheets" @default.
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- W2726457654 doi "https://doi.org/10.1103/physrevb.96.155437" @default.
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