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We adapt the block-Lanczos density-matrix renormalization-group technique tostudy the spin transport in a spin chain coupled to two non-interactingfermionic leads. As an example, we consider leads described by two-dimensionaltight-binding models on a square lattice. Although the simulations are carriedout using a chain representation of the leads, observables in the originaltwo-dimensional lattice can be calculated by reversing the block-Lanczostransformation. This is demonstrated for leads with Rashba spin-orbit coupling.

Block-Lanczos density-matrix renormalization-group approach to spin transport in Heisenberg chains coupled to leads