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Fermionic Renormalization Group Approach to Junctions of Strongly Interacting Quantum Wires

Year: 2015
Type: preprint
Abstract: We construct a generalized Fermionic Renormalization Group approach to describe junctions of strongly interacting spinful one-dimensional quantum wires. Our approach is based on a combined use of bosonization and fermionization techniques to build nonlocal transformations between dual fermion operators. It allows for trading strongly interacting (in the original coordinates) fermionic Hamiltonian for weakly interacting (in the dual coordinates) ones. Using such an approach, on one hand we are able to pertinently complement the results about the phase diagram of the junction obtained within bosonization approach, on the other hand, we map out the full crossover of the conductance tensors between any two fixed points in the phase diagram connected by a renormalization group trajectory.
Language: English
Open Access status: green
OpenAlex ID: W2952575215
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