We consider an open system of non-interacting electrons consisting of a small sample connected to several reservoirs and temperature or voltage probes. We study the non-linear system of equations that determines the probe parameters. We show that it has a unique solution, which can be computed with a fast converging iterative algorithm. We illustrate our method with two well-known models: the three-terminal system and the open Aharovov-Bohm interferometer.
@article{arxiv.1112.0083,
title = {Temperature and Voltage Probes Far from Equilibrium},
author = {Ph. A. Jacquet and C. -A. Pillet},
journal= {arXiv preprint arXiv:1112.0083},
year = {2015}
}