Effective low-energy models for superconducting impurity systems
Vladislav Pokorný, Martin Žonda
DOI 10.1103/PhysRevB.107.155111 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
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.
Similar papers
Self-consistent description of Andreev bound states in Josephson quantum dot devices
similarity 0.93Tobias Meng et al.
Source status unknown — claims are unverified
Magnetoelectric spectroscopy of Andreev bound states in Josephson quantum dots
similarity 0.92Nils Wentzell et al.
Source status unknown — claims are unverified
Generalized transmon Hamiltonian for Andreev spin qubits
similarity 0.89Luka Pavešić & Rok Žitko
Source status unknown — claims are unverified
Current precision in interacting hybrid normal-superconducting systems
similarity 0.89Nahual Sobrino et al.
Source status unknown — claims are unverified
Quantum simulation of Anderson and Kondo lattices with superconducting qubits
similarity 0.89Juan José García-Ripoll et al.
Source status unknown — claims are unverified
Broadening of Andreev bound states in dx2−y2 superconductors
similarity 0.89A. Poenicke et al.
Source status unknown — claims are unverified