 08147 Philippe A. Jacquet
 ThermoElectric Transport Properties of a Chain of Quantum Dots with SelfConsistent Reservoirs
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Aug 6, 08

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Abstract. We introduce a model for charge and heat transport
based on the LandauerB\"uttiker scattering approach. The system consists of a
chain of $N$ quantum dots, each of them being coupled to a particle
reservoir. Additionally, the left and right ends of the chain are coupled
to two particle reservoirs. All these reservoirs are independent and can be described by any
of the standard physical distributions: MaxwellBoltzmann,
FermiDirac and BoseEinstein. In the linear response regime, and
under some assumptions, we first describe the
general transport properties of the system. Then we impose the
selfconsistency condition, \ie we fix the boundary values
$(T_\L,\mu_\L)$ and $(T_\R,\mu_\R)$, and adjust the parameters $(T_i,\mu_i)$, for $i = 1,\dots,N$, so that the net
electric and heat currents through all the intermediate reservoirs
vanish. This leads to expressions for the temperature and chemical
potential profiles along the system, which turn out to be
independent of the
distribution describing the reservoirs. We also determine the electric and heat currents flowing through the
system and present some numerical results, using random matrix theory,
showing that the statistical average currents are governed by Ohm and Fourier laws.
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