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- W4307888908 abstract "Ballistic graphene samples in a multimode regime show the sub-Sharvin charge transport, characterized by the conductance reduced by a factor of $ensuremath{pi}/4$ compared to standard Sharvin contacts in two-dimensional electron gas, and the shot-noise power enhanced up to $Fensuremath{approx}1/8$ (with $F$ the Fano factor) [Phys. Rev. B 104, 165413 (2021)]. Here we consider the disk-shaped (Corbino) setup in graphene, with inner radius ${r}_{1}$ and outer radius ${r}_{2}$, finding that the multimode conductance is slightly enhanced for any ${r}_{1}<{r}_{2}$, reaching $(4ensuremath{-}ensuremath{pi})ensuremath{approx}0.8684$ of the Sharvin value for ${r}_{1}ensuremath{ll}{r}_{2}$. At the same limit, the Fano factor is reduced, approaching $(9ensuremath{pi}ensuremath{-}28)/(12ensuremath{-}3ensuremath{pi})ensuremath{approx}0.1065<1/8$. Closed-form approximating expressions for any ${r}_{1}/{r}_{2}$ ratio are derived, supposing incoherent scattering of Dirac fermions on an asymmetric double barrier and compared with exact numerical results following from the mode-matching method. Sub-Sharvin values are restored in the narrow-disk limit ${r}_{1}/{r}_{2}ensuremath{rightarrow}1$. For experimentally accessible radii ratios $0.5ensuremath{leqslant}{r}_{1}/{r}_{2}ensuremath{leqslant}0.8$, both the conductance and the Fano factor are noticeably closer to the values predicted for the ${r}_{1}ensuremath{ll}{r}_{2}$ limit, yet still differ from standard Sharvin transport characteristics. The system behavior upon tuning the electrostatic potential barrier from a rectangular to parabolic shape is studied numerically and the crossover from the sub-Sharvin to standard Sharvin transport regime is demonstrated. Implications for a finite section of the disk are also discussed." @default.
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- W4307888908 date "2022-10-31" @default.
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- W4307888908 title "Theory of sub-Sharvin charge transport in graphene disks" @default.
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- W4307888908 doi "https://doi.org/10.1103/physrevb.106.155428" @default.
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