Rodrigo Arouca de Albuquerque

My work specializes in the study of quantum matter theory, especially topological materials, and superconductivity, using numerical (mainly topological band theory and mean field theory) and quantum field theory techniques. In the last four years, I have given special attention to non-Hermitian Hamiltonians exploring both their thermodynamics and potential to enhance ordered states. Lately, I have been trying to work more with more realistic approach to quantum open systems.

I work with a variety of kinds and approaches to topological materials. These works are both focused on the study of toy models to understand some aspects or on describing the experimental realization of topological matter (including materials and metamaterials). In the last five years, I have worked on:

• Topological states in fractals (collaboration with experiments), see arxiv:2309.09860 (recently accepted in Nat. Phys.)
• Enhanced superconductivity due to non-Hermitian effects, see PRB 108 (6), L060506
• Thermodynamics/scaling properties of non-Hermitian systems, see Quantum Frontiers 1 (1), 2 and Physical Review B 102 (24), 245145
• Higher-order topology, arXiv: 2402.00556, arXiv: 2304.05748 (collaboration with experiments recently accepted in Phys. Rev. Research) and Phys. Rev. Res. 2, 023097.

I have also published lecture notes about the anomalies classification of topological states, see SciPost Physics Lecture Notes, 062 .

In addition to my work in topology, I have worked during my masters and PhD trying to describe the superconducting and normal states of two families of superconductors, Bismuth Dichalcogenides (see JPCM 29 355702) and high-Tc cuprates (see Supercond. Sci. Technol. 33 035009, Supercond. Sci. Technol. 34 035004, and Supercond. Sci. Technol. 34 085008).