Transport in a biased lattice transitions from Landauer ballistic to Esaki-Tsu diffusive regime when Wannier-Stark localization length equals lattice length.
To do this we include in the master equation the Lindblad relaxation operator which acts on carriers in the lattice
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Two-terminal transport in biased lattices: transition from ballistic to diffusive current
Transport in a biased lattice transitions from Landauer ballistic to Esaki-Tsu diffusive regime when Wannier-Stark localization length equals lattice length.