@article{Wójcik2023,
title = {Majorana Coupling and Kondo Screening of Localized Spins},
author = {Krzysztof Paweł Wójcik and Piotr Majek},
url = {http://przyrbwn.icm.edu.pl/APP/PDF/143/app143z2p15.pdf},
doi = {10.12693/APhysPolA.143.207},
year = {2023},
date = {2023-02-27},
journal = {Acta Physica Polonica A},
volume = {143},
number = {2},
pages = {207},
abstract = {We perform a theoretical analysis of the fate of the local magnetic moment of a quantum dot coupled to
a normal metallic lead and a topological superconducting wire hosting Majorana modes at the ends. By
means of simple analytical tools and numerical renormalization group calculations, we show that the
proximity of the Majorana mode reduces the magnetic moment from 1/4, characteristic of a free spin
1/2, to 1/16. Coupling to the normal lead then causes the Kondo effect, such that the magnetic moment
is fully screened below the Kondo temperature. The latter is vastly increased for strong coupling to
Majorana mode.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Majek2022c,
title = {Hallmarks of Majorana mode leaking into a hybrid double quantum dot},
author = {Piotr Majek and Grzegorz Górski and Tadeusz Domański and Ireneusz Weymann},
url = {https://journals.aps.org/prb/abstract/10.1103/PhysRevB.106.155123},
doi = {10.1103/PhysRevB.106.155123},
year = {2022},
date = {2022-10-13},
journal = {Phys. Rev. B},
volume = {106},
pages = {155123},
abstract = {We investigate the spectral and transport properties of a double quantum dot laterally attached to a topological superconducting nanowire, hosting the Majorana zero-energy modes. Specifically, we consider a geometry, in which the outer quantum dot is embedded between the external normal and superconducting leads, forming a circuit. First, we derive analytical expressions for the bound states in the case of an uncorrelated system and discuss their signatures in the tunneling spectroscopy. Then, we explore the case of strongly correlated quantum dots by performing the numerical renormalization group calculations, focusing on the interplay and relationship between the leaking Majorana mode and the Kondo states on both quantum dots. Finally, we discuss feasible means to experimentally probe the in-gap quasiparticles by using the Andreev spectroscopy based on the particle-to-hole scattering mechanism.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Majek2022,
title = {Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system},
author = {Piotr Majek and Ireneusz Weymann},
url = {https://www.sciencedirect.com/science/article/abs/pii/S0304885321011331},
doi = {10.1016/j.jmmm.2021.168935},
year = {2022},
date = {2022-05-01},
journal = {Journal of Magnetism and Magnetic Materials},
number = {549},
pages = {168935},
abstract = {We examine the transport properties of a double quantum dot system coupled to a topological superconducting nanowire hosting Majorana quasiparticles at its ends, with the central quantum dot attached to the left and right leads. We focus on the behavior of the local density of states and the linear conductance, calculated with the aid of the numerical renormalization group method, to describe the influence of the Majorana coupling on the low-temperature transport properties induced by the Kondo correlations. In particular, we show that the presence of Majorana quasiparticles in the system affects both the spin-up and spin-down transport channels, affecting the energy scales associated with the first-stage and second-stage Kondo temperatures, respectively, and modifying the low-energy behavior of the system.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Majek2022b,
title = {Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots},
author = {Piotr Majek and Krzysztof P. Wójcik, and Ireneusz Weymann},
url = {https://journals.aps.org/prb/abstract/10.1103/PhysRevB.105.075418},
doi = {10.1103/PhysRevB.105.075418},
year = {2022},
date = {2022-02-17},
journal = {Phys. Rev. B},
volume = {105},
pages = {075418},
abstract = {We investigate theoretically the thermoelectric transport properties of a T-shaped double quantum dot side-coupled to a topological superconducting nanowire hosting Majorana zero-energy modes. The calculations are performed using the numerical renormalization group method focusing on the transport regime, where the system exhibits the two-stage Kondo effect. It is shown that the leakage of Majorana quasiparticles into the double dot system results in a half-suppression of the second stage of the Kondo effect, which is revealed through fractional values of the charge and heat conductances and gives rise to new resonances in the Seebeck coefficient. The heat conductance is found to satisfy a modified Wiedemann-Franz law. Finally, the interplay of Majorana-induced interference with strong electron correlations is discussed in the behavior of the spin Seebeck effect, which is a unique phenomenon of the considered setup.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Majek2021,
title = {Majorana mode leaking into a spin-charge entangled double quantum dot},
author = {Piotr Majek and Ireneusz Weymann},
url = {https://journals.aps.org/prb/abstract/10.1103/PhysRevB.104.085416},
doi = {10.1103/PhysRevB.104.085416},
year = {2021},
date = {2021-08-12},
journal = {Phys. Rev. B},
volume = {104},
pages = {085416},
abstract = {The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum dots attached to external contacts and side-attached to topological superconducting wire hosting Majorana quasiparticles. We show that the presence of Majorana mode gives rise to unique features in the local density of states in the SU(4) Kondo regime. Moreover, it greatly modifies the gate voltage dependence of the linear conductance, leading to fractional values of the conductance. We also analyze the effect of a finite length of topological wire and demonstrate that nonzero overlap of Majorana modes at the ends of the wire is revealed in local extrema present in the local density of states of the dot coupled directly to the wire. The calculations are performed with the aid of the numerical renormalization group method.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}