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- W2114739209 abstract "The Landauer formula and its finite-temperature extension are used to obtain the temperature-dependent conductance $G(T)$ of a one-dimensional system. Large resonant structure in $G$ as a function of Fermi energy, a manifestation of a zero-temperature quantum-mechanical eigenstate tunneling phenomenon, persists to finite temperature. The resulting statistical properties of $G$, $mathrm{ln}G$, $Rensuremath{equiv}frac{1}{G}$, and $mathrm{ln}R$ are studied. At intermediate temperatures, the mean dependence of $mathrm{ln}G$ on $T$ follows the one-dimensional ${T}^{frac{ensuremath{-}1}{2}}$ Mott law, with $mathrm{ln}G$ displaying large nonthermodynamic fluctuations about this mean behavior. We verify these observations with numerical simulations on a one-dimensional Kronig-Penney model. The mean Mott-like behavior is reproduced, and the relationship between the Mott temperature ${T}_{0}$ and the localization length ${L}_{0}$ is verified. At higher temperature we show that the energy dependence of ${L}_{0}$ or of the density of states ${ensuremath{rho}}_{s}$ can cause $G(T)$ to deviate from the ${T}^{frac{ensuremath{-}1}{2}}$ behavior, and we derive expressions for the modified temperature dependence of $G$." @default.
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- W2114739209 date "1984-12-15" @default.
- W2114739209 modified "2023-10-14" @default.
- W2114739209 title "Finite-temperature conductance in one dimension" @default.
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- W2114739209 doi "https://doi.org/10.1103/physrevb.30.6877" @default.
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