Effective low-energy models for superconducting impurity systems

0571929 - FZÚ 2024 RIV US eng J - Journal Article
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
EU Projects: European Commission(XE) CA21144 - SUPERQUMAP
Research Infrastructure: e-INFRA CZ - 90140
Institutional support: RVO:68378271
Keywords : nanoscopic superconductivity * quantum dots * quantum Monte Carlo * Andreev bound states * Josephson current
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 3.7, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0346758