Majorana fermions in nanostructures: interplay with correlations
Speaker: Edson Vernek, Universidade Federal de Uberlândia
Time: Friday 19:00-21:00
Zoom Meeting ID: 880 4493 9148
In the last two decades we have witnessed enormous interest in the physics of topological materials in condensed matter. Of particular interest are topological superconductors which, under certain conditions, can host Majorana bound states (MBS) . From a conceptual perspective, MBS (or Majorana quasiparticles) are very alluring because they correspond to their own anti-particle. At the same time, they are very promising as building-blocks of a platform for fault-tolerant topological computation. Despite the fast development of theoretical studies, experimental observation of these exquisite bound states has demanded extraordinary effort and promoted intense debate in the last few years. Among several structures designed to detect MBS, nanostructures composed of quantum dots QDs emerge as one of the most suitable platform for this purpose. Thanks to their high tunability, it can be driven into different occupation regimes providing us with a unique way of obtaining clear cut signatures of MBSs.
In this opportunity we will discuss some of the recent progress in the physics of Majorana bound states in quantum dot structures and how these structures can be used to detect MBS . In particular, we will present some interesting features emerging from the coexistence of MBSs and Kondo virtual bound states in the interacting regime . We will also discuss recent results on open dynamics of quantum resources (entanglement and coherence) in QD-MBS hybrid systems, potentially useful for quantum computation [3,4].
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 E. Vernek, P. H. Penteado, A. C. Seridonio, and J. C. Egues, Phys. Rev. B 89, 165314 (2014).
 J. F. Silva, L. G. G. V. Dias da Silva and E. Vernek Phys. Rev. B 101, 075428 (2020).
 D. P. Pires, D. O. Soares-Pinto and E. Vernek, arXiv:2108.01205 (2021).
 E. Chitambar and G. Gour, Rev. Mod. Phys. 91, 025001 (2019).
Digression on spin-orbit coupling;
The BCS Hamiltonian;
Spin-orbit + superconductivity;
The concept of topology in the band theory.
Connection to the Kitaev model;
Topological phases within the Kitaev model;
A quantum dot coupled to a Kitaev chain;
Leaking of Majorana modes into a quantum dot.
Majorana fermion in interacting quantum dots
Correlations and quantum dynamics