In this talk I will give an overview of recent progress regarding mathematical questions and proofs of the spectral properties of Haldane pseudo-potentials. These are short range interactions projected onto the lowest Landau level and are tailored to model properties of fractional Hall fluids and their…

Twistronics is the study of how the angle (the twist) between layers of two-dimensional materials can change their electronic structure. When two sheets of graphene are twisted by those angles the resulting material exhibits flat bands which, as argued in the physics literature, is related to…

It is shown that the Villain model of two-component spins over two dimensional lattices exhibits slow, non-summable, decay of correlations at any temperature at which the dual integer-valued Gaussian field exhibits depinning. For the latter, we extend the recent proof by Lammers of the existence of a…

I will explore a toy model for our universe in which spontaneous symmetry breaking – acting on the level of operators (not states) - can produce the interacting physics we see about us from the simpler, single particle, quantum mechanics we study as undergraduates. Based on joint work with Modj Shokrian Zini, see arXiv:2011.05917 and arXiv:2108…

Finite volume (or area) models for topological insulators are closer to experiment than in_nite volume models. However, they are only indirectly connected to Brillouin zone and so we need to…

After reviewing recent progress in random Hermitian and non-Hermitian matrix theory, we prove that eigenvectors of Wigner matrices satisfy the Eigenstate Thermalisation Hypothesis (ETH), which is a strong form of Quantum Unique ergodicity (QUE) with optimal speed of convergence. This requires proving certain…

## By Year

## By Category

- Astroparticle Seminar
- Atomic Physics Seminar
- Biophysics Seminar
- Condensed Matter Seminar
- Dark Cosmo Seminar
- Distinguished Lecture Series
- Donald R. Hamilton Colloquium
- Donald R. Hamilton Lecture
- Equity Diversity and Inclusion Initiative
- FPO
- Gravity Group Seminar
- Gravity Initiative Seminar
- High Energy Experiment Seminar
- High Energy Theory Seminar
- Mathematical Physics Seminar
- Particle Physics Seminar
- PCTS Seminar
- Phenomenology Seminar
- Princeton Quantum Colloquium
- Quantum Initiative
- Special Event
- Special Seminar
- Statistical Mechanics Seminar