ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs

Details ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs

2008-08-06

arxiv.org/abs/0808.0825v2

J. Stat. Phys. 134 (4) 709-748 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Minor changes (45 pages)

Scientific paper

10.1007/s10955-009-9697-1

We introduce a model for charge and heat transport based on the Landauer-Buttiker 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: Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein. In the linear response regime, and under some assumptions, we first describe the general transport properties of the system. Then we impose the self-consistency condition, i.e. 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,...,N, so that the net average electric and heat currents into all the intermediate reservoirs vanish. This condition 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 average electric and heat currents flowing through the system and present some numerical results, using random matrix theory, showing that these currents are typically governed by Ohm and Fourier laws.

Affiliated with

Also associated with

No associations

Rating

ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-28066