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Linhas de Pesquisas
Eu adoro explorar fases das matérias (se forem quânticas, melhor!) I am addicted to exploring matter (all the best when it is quantum!). In particular, I really like to explore situations where one can explore phenomena that show collective behavior of materials, be it ordered states (especially superconductivity), or topological phases (mostly in toy models, but progressing more to interfacing with experiments and topological response). For these problems, the use of low-energy models, especially effective tight-binding descriptions or quantum field theory methods, is usually my go-to tool.
A full list of my publications can be found at my Google Scholar and arXiv profiles.
Some past projects
Non-Hermitian Systems
Usually, we think about the environment as something that brings decoherence and always destroys quantum effects. What if coupling a system with something else brings new and unique effects? This is the idea behind non-Hermitian systems, where one explores what effects can be induced when one leaves the closed system box.
In this context, we contributed to understanding how quantum phase transitions happen in topological non-Hermitian systems (see PRB 102.245145, npj Quantum Frontiers 1.2, PRB 110.115135, and PRB 110.115135), how one can use dissipation to get better superconductors (see PRB 108.L060506) and how to understand the breaking (and resurgence!) of symmetry in a non-Hermitian waveguide (see PRRes 6.023140).
Topological States in Fractals
What happens when you merge a material with high spin-orbit coupling with fractals? You get a topological insulator in non-integer dimensions! This was explored by us in a work in Nature Physics (Nat. Phys. 20.1421) where we showed that self-formed fractals of Bismuth, grown on top of InSb, exhibit edge and corner states, characteristic of a topological phase. These modes have the usual characteristic of topological states, for instance, strong resiliency to disorder, while bringing new properties to the table due to the self-similarity, like that you have many different kinds of edges and corners, and bring a new dimension to topological states.
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