How long does it take to form the Andreev quasiparticles ?
arXiv:1705.08755 · doi:10.1103/PhysRevB.98.075420
Abstract
We study transient effects in a setup, where the quantum dot (QD) is abruptly sandwiched between the metallic and superconducting leads. Focusing on the proximity-induced electron pairing, manifested by the in-gap bound states, we determine characteristic time-scale needed for these quasiparticles to develop. In particular, we derive analytic expressions for (i) charge occupancy of the QD, (ii) amplitude of the induced electron pairing, and (iii) the transient currents under equilibrium and nonequilibrium conditions. We also investigate the correlation effects within the Hartree-Fock-Bogolubov approximation, revealing a competition between the Coulomb interactions and electron pairing.
16 pages, 12 figures
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Cited by in corpus (12)
- Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
- Dynamical leakage of Majorana mode into side-attached quantum dot
- Quench dynamics of spin in quantum dots coupled to spin-polarized leads
- Quench dynamics of correlated quantum dot proximitized to superconducting lead
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- Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
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- Quench dynamics of Fano-like resonances in the presence of the on-dot superconducting pairing
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