Monday, March 18, 2024 - 11:15 Aula Dottorato (first floor) Dipartimento di Matematica Università degli Studi di Milano Via Cesare Saldini 50
SPEAKER: Zhituo Wang (Harbin Institute of Technology)
Constructive renormalizations of the 2-D Honeycomb-Hubbard model
In this talk I will present some recent progress on the construction of ground state of the 2-dimensional Hubbard model, which is a prototypical model for studying phase transitions in quantum many-body system. Using fermionic cluster expansions and constructive renormalization theory, we proved that the ground state of the 2-d Hubbard model on the honeycomb lattice with triangular Fermi surfaces is not a Fermi liquid in the mathematical precise sense of Salmhofer. I will also discuss the crossover phenomenon in the 2-d square Hubbard model and universalities. This presentation is based on the work arXiv:2108.10852, CMP 401, 2569–2642(2023) and arXiv:2303.13628.
