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Calculations of current in the cotunneling regime using Lindblad equations
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Calculations of current in the cotunneling regime using Lindblad equations

Kian Maleki and Michael E Flatté
ArXiv.org
Cornell University
08/31/2025
DOI: 10.48550/arxiv.2509.01003
url
https://doi.org/10.48550/arxiv.2509.01003View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Transport through zero-dimensional states in a tunneling barrier can occur via co-tunneling, wherein a carrier occupying a state outside the range of energies between the chemical potentials of the two leads hops to a lead, and within the brief time permitted by the energy-time uncertainty relationship the occupancy is replenished from the other lead. Here, we calculate the current in such junctions using a Lindblad formalism within the Markovian approximation. We consider transport in the Coulomb blockade regime with spin-polarized leads and a magnetic field smaller than the coercive field of either lead. Dependences on magnetic field and lead spin polarization of the spin blockade, decoherence, and spin lifetime of the subsystems of this model are calculated.
Physics - Mesoscale and Nanoscale Physics

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