Göttingen 2025 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Poster Session: Many-body Theory

MP 9.2: Poster

Mittwoch, 2. April 2025, 16:15–18:15, ZHG Foyer 1. OG

Exploring Strong Correlations and Strong Disorder in Fermionic Systems: Independent Investigations — •Saurabh Kumar — Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, D-50937, Köln, Germany

This work addresses the challenges of analyzing strongly interacting and disordered fermionic systems, focusing on two independent projects. Both projects utilize the superbosonization formula as a key analytical tool.

The first project develops a general analytical framework for studying strongly interacting systems, with a specific focus on the one-dimensional Hubbard model at half-filling. The approach utilizes bosonization within the functional integral framework, but challenges arise in defining the continuum limit in time. To overcome this, we integrate renormalization techniques into the bosonization scheme. A full implementation of these ideas is planned for future research.

The second project examines strongly disordered fermion systems in symmetry class D. Motivated by recent proposals of novel spontaneous symmetry breaking (SSB) phenomena in class A, we explore similar phenomena in class D systems. Starting with a general formulation of supersymmetric field theory applied to disordered class D systems, we focus on the strong disorder limit. We also analyze a specific system of monitored free fermions, which exhibits measurement-induced phase transitions. While we propose a reformulation of the theory to offer a fresh perspective, a comprehensive exploration of novel SSB phenomena in class D remains an open question for future investigation.

Keywords: Superbosonization; Strongly interacting; Strongly disordered; Novel spontaneous symmetry breaking; Measurement-induced phase transitions