Surrogate model solver for impurity-induced superconducting subgap states
arXiv:2307.11646 · doi:10.1103/PhysRevB.108.L220506
Abstract
A simple impurity solver is shown to capture the impurity-induced superconducting subgap states in quantitative agreement with the numerical renormalization group and quantum Monte-Carlo simulations. The solver is based on the exact diagonalization of a single-impurity Anderson model with discretized superconducting reservoirs including only a small number of effective levels. Their energies and couplings to the impurity -level are chosen so as to best reproduce the Matsubara frequency dependence of the hybridization function. We provide a number of critical benchmarks and demonstrate the solvers efficiency in combination with the reduced basis method [Phys. Rev. B 107, 144503 (2023)] by calculating the phase diagram for an interacting three-terminal junction.
arXiv comment19 pages, 20 figures; v2: new results on the phase diagram of a finite-gap interacting topological three-terminal Josephson junction
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