Andrey R. Kolovsky
Published 2024-11-20Version 1
We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We study the effect of this tilt on quantum transport in the presence of weak relaxation/decoherence processes in the lattice. It is shown that the Landauer ballistic transport regime for a weak tilt (small chemical potential difference) changes to the diffusive Esaki-Tsu transport regime for a strong tilt (large chemical potential difference), where the critical tilt for this crossover is determined by the condition that the Wannier-Stark localization length coincides with the lattice length.
Comments: 5 pages, 5 figures
Dynamic $0-π$ transition induced by pumping mechanism
Optical $Λ$ transitions and quantum computing in the $^{15}$N-V$^{-}$ Center in Diamond
Unexpectedly allowed transition in two inductively coupled transmons
![QR code for arXiv:2411.13031 [cond-mat.mes-hall]](http://oss.arxitics.com/images/favicon.svg)