Quantum phase transitions and superconductivity in strongly correlated systems

Abstract

My doctoral research primarily centers around the investigation of strongly correlated many-body systems, with a particular emphasis on unconventional superconductivity and exotic phase transitions. Throughout my work, I have employed quantum field theory, group representation theory, and mean-field calculations to probe the effects of interactions and competing behaviors in various quantum materials. Spanning from fundamental aspects to experimentally relevant studies, my research encompasses a wide range of topics. First, I delve into the fractionalized ferromagnetic phase transitions within the Pyrochlore system, revealing the emergence of multi-scale quantum criticality. Second, I explore a specific category of topological superconductivity called Bogoliubov Fermi-surfaces, investigating the effects of interaction and disorder within this intriguing class of superconductors. Third, I focus on the development of a comprehensive theoretical framework to understand the deconfined thermal transition in three-dimensional spatial systems which may be relevant to the recent intriguing experiments on doped iron arsenide. Lastly, I study monolayer Kagome metal, where the enforced symmetry breaking resulting from stoichiometry significantly enhances the distribution of Van Hove singularities (VHS), giving rise to various instabilities such as charge density waves (CDW) and superconductivity. By exploring these diverse topics, this thesis offers a comprehensive exploration of intricate phenomena observed in condensed matter systems providing valuable insights into the behavior of strongly correlated materials.