Nonlocal effects in charge and energy transport with dissipative electrodes
Phys. Rev. B 114, 045425 – Published 21 July, 2026
DOI: https://doi.org/10.1103/tnfs-694c
Abstract
Recent advances in nanothermometry have led to an extension of the Landauer-Büttiker scattering theory to include the nonlocal dissipation associated with charge transport. Such a program is implemented by describing the inelastic scattering in the connecting electrodes within an electrostatically self-consistent scheme. The restriction to quasi-one-dimensional geometries, weak excitation, and low temperature allows us to obtain general expressions of the current density and the dissipated power, valid in different regimes, for the cases of an energy-independent mean free path or an energy-independent relaxation rate. In particular, the dissipation asymmetry at both sides of a nanodevice and the conditions for observing heating spots with a local maximum of the dissipated power are formulated in terms of the key parameters that define the nanodevice and its environment.