Effective low-energy models for superconducting impurity systems

0571929 - FZÚ 2024 RIV US eng J - Článek v odborném periodiku
Pokorný, Vladislav - Žonda, M.
Effective low-energy models for superconducting impurity systems.
Physical Review B. Roč. 107, č. 15 (2023), č. článku 155111. ISSN 2469-9950. E-ISSN 2469-9969
GRANT EU: European Commission(XE) CA21144 - SUPERQUMAP
Výzkumná infrastruktura: e-INFRA CZ - 90140
Institucionální podpora: RVO:68378271
Klíčová slova: nanoscopic superconductivity * quantum dots * quantum Monte Carlo * Andreev bound states * Josephson current
Obor OECD: Condensed matter physics (including formerly solid state physics, supercond.)
Impakt faktor: 3.7, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1103/PhysRevB.107.155111

We present two complementary methods to calculate the Andreev bound state energies of a single-level quantum dot connected to superconducting leads described by the superconducting impurity Anderson model. The first method, which is based on a mapping to a low-energy model, can be utilized to extract the Andreev bound state energies from finite-temperature, imaginary-time quantum Monte Carlo data without the necessity of any analytic continuation technique. The second method maps the full model on an exactly solvable superconducting atomic limit with renormalized parameters. As such, it represents a fast and reliable method for a quick scan of the parameter space. We demonstrate that after adding a simple band correction this method can provide predictions for measurable quantities, including the Josephson current, that are in a solid quantitative agreement with precise results obtained by the numerical renormalization group and quantum Monte Carlo.
Trvalý link: https://hdl.handle.net/11104/0346758