Youssef Makoudi

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This talk explores Anderson localization in spinless, non-interacting fermions using open quantum systems. We examine the steady-state transport induced by coupling the lattice to thermal reservoirs with different chemical potentials. This approach allows exact computation of currents and density profiles in the system. Starting with a one-dimensional lattice, we confirm the insulating behavior and study current scaling to estimate localization length. The methods are then extended to two dimensions, analyzing current patterns and the transition from ballistic to localized regimes. We investigate whether the metal-insulator transition can be described as a shift from laminar to turbulent-like flows, providing new insights into two-dimensional systems.

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SISSA
0.03
Contact: Karim Chahine