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Miriam Patricolo

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Short Bio

Miriam Patricolo is a PhD student in Physics and a university assistant in the Computational Quantum Science research group at the Institute of Solid State Physics and Information Systems Engineering, under the supervision of Sabine Andergassen. Her research focuses on strongly correlated electron systems, primarily through the application of the functional renormalization group (fRG). She is also interested in applying methods from statistical physics to gain a deeper understanding of the fundamental principles underlying certain machine learning techniques.

Miriam earned her BSc (2020) and MSc (2022) in Physics from the University of Pisa, where she specialized in theoretical physics. For her master’s thesis, she studied the characterization of quantum phase transitions in a spin model, using tools inspired by quantum information theory, as the interaction strength and geometry of the system varied.

PhD Project - Functional Renormalization Group Study of Fluctuation-Driven Phenomena and Symmetry-Breaking Mechanisms in Strongly Correlated Electron Systems

Supervised by Sabine Andergassen

The project aims to apply the functional renormalization group (fRG) method to investigate the emergence of complex many-body phenomena in strongly correlated electron systems. A central focus is the analysis of fluctuation-driven effects, which can lead, for example, to the formation of the pseudogap. Beyond the symmetric phase, the project further extends the fRG framework to access symmetry-broken regimes by incorporating the flow of the order parameter. This enables a controlled investigation of phases characterized by SU(2) symmetry breaking. In particular, the goal is to study the competition between different ordering tendencies, such as magnetic and charge instabilities, and how their interplay can give rise to complex ordered states, including the spiral phase. A key component of the project is the development of advanced methodological tools within the fRG formalism, aimed at capturing non-perturbative effects and identifying the leading instabilities that shape the rich phase diagram of the Hubbard model.

Publications and Conferences

Journal Papers

  • Patricolo, M., Gievers, M., Fraboulet, K., Al-Eryani, A., Heinzelmann, S., Bonetti, P., Toschi, A., Vilardi, D., Andergassen, S. (2025). Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group. SciPost Physics, 18(3), Article 078. https://doi.org/10.21468/SciPostPhys.18.3.078

Posters

  • Patricolo, M., Gievers, M., Fraboulet, K., Heinzelmann, S., Bonetti, P., Vilardi, D., Andergassen,S.,(2023) “Functional renormalization group analysis of the pseudogap opening in the Hubbard model” presented at conference “Numerical Methods for fRG in condensed matter” at Haus der Bayerischen Landwirtschaft in Herrsching am Ammersee
  • Patricolo, M., Gievers, M., Fraboulet, K., Heinzelmann, S., Bonetti, P., Vilardi, D., Andergassen,S.,(2023) “Functional renormalization group analysis of the pseudogap opening in the Hubbard model” presented at conference “Correlations in Novel Quantum Materials” at Max Planck Institute for Solid State Research, Stuttgart
  • Patricolo, M., Gievers, M., Fraboulet, K., Heinzelmann, S., Bonetti, P., Vilardi, D., Andergassen,S.,(2023) “Pseudogap opening in the Hubbard model at strong coupling” presented at conference “Exploring New Topics with Functional Renormalisation” at French-German WE-Heraeus-Seminar in Bad Honnef
  • Patricolo, M., Gievers, M., Fraboulet, K., Al-Eryani, A., Heinzelmann, S., Bonetti, P., Toschi, A., Vilardi, D., & Andergassen, S. (2024) “Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group” presented at conference “QUAST - international conference” at Max Planck Institute for Chemical Physics of Solids, Dresden

Presentations

  • “Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group”. Contributed talk at the Spring Meeting of the condensed Matter Section, 2024, Technische Universität Berlin
  • “Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group”. Contributed talk at the 12th International Conference on the Exact Renormalization Group at SwissMAP Research Station

International Schools

  • “7th International Summer School on Computational Quantum Materials”(2024) / École d’été internationale sur les méthodes numériques en matériaux quantiques. Centre de Villégiature Jouvence, Quebec
  • SQMS/GGI - Summer School on Quantum Simulation of Field Theories (2022). Galileo Galilei Institute, Florence