Proefschrift
Strongly interacting electrons in Sachdev-Ye-Kitaev models and twisted bilayer graphene
In this thesis, we study systems of electrons in which strong correlations give rise to emergent exotic physics.
- Auteur
- A.S. Shankar
- Datum
- 07 januari 2025
- Links
- Thesis in Leiden Repository
The first part of the thesis focuses on extensions to the topical Sachdev-Ye-Kitaev (SYK) model of a non-fermi liquid. Firstly, the chaotic nature of the bipartite SYK model is studied by a calculation of its Lyapunov exponent at intermediate and strong coupling. Next, a coupled Yukawa SYK model is used to understand the holographic duality between a strongly coupled superconducting Josephson junction and a wormhole in anti de Sitter space. The second part of the thesis addresses possible experimental consequences of the emergent strong correlations at a higher order van Hove singularity in the band structure of magic angle twisted bilayer graphene, and suggests that it may be probed through the Kondo response of a magnetic impurity embedded on its surface.