Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems.

摘要: We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we employ pertinent approach which allows for mapping underlying Schrodinger dynamics onto an adequate linear quantum Boltzmann equation. This is based on suitable projection operator method. From equation able numerically obtain diffusion coefficients in case nonvanishing i.e., nonintegrable case, whereas coefficient diverges without hopping. For latter analytically decay behavior current with result that arbitrarily small parts relax slowly suggests anomalous diffusive within scope our approach.