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- W2039547061 abstract "We present a general formalism for the calculation of correlation functions (CFs) for transport processes through ultra-small structures based on a Wigner function representation. Linear response coefficients are obtained from the CFs at thermal equilibrium. The formalism is applied to a finite conductor in three, two and one dimensions, where we study the transition from diffusive to ballistic regimes for non-degenerate and degenerate conditions. Analytical expressions are given for the limiting cases. Electrical and thermal conductances are expressed in terms of characteristic time- and lengthscales, which are the scattering time and the mean free path in the diffusive regime as well as the transit time and device length in the ballistic regime. For a 1D, degenerate, ballistic system of fermions we find for the electrical conductance the fundamental unit G = 2e2/h, for the differential thermoelectric power a = 0 and for the thermal conductance the fundamental unit K = p2kB2T/(3h), which has been found to hold for the ballistic case of bosons with zero chemical potential as well. We provide the frequency dependence of the kinetic coefficients associated with different timescales belonging to the microscopic system." @default.
- W2039547061 created "2016-06-24" @default.
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- W2039547061 date "2000-10-20" @default.
- W2039547061 modified "2023-10-18" @default.
- W2039547061 title "Carrier kinetics from the diffusive to the ballistic regime: linear response near thermodynamic equilibrium" @default.
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- W2039547061 doi "https://doi.org/10.1088/0268-1242/15/11/311" @default.
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