Westlake Math Colloquium第五十一期 | Zhituo Wang: Phase Transitions in Quantum Many-body theory

2024-01-26 10:57:46


地点:E4-233 & ZOOM

ZOOM ID: 931 4729 8436

PASSCODE: 198770


主讲人哈尔滨工业大学 王智拓

讲座主题:Phase Transitions in Quantum Many-body theory


In this talk I will present some recent progress on the construction of ground state of the honeycomb Hubbard model, which is a prototypical model for studying the metal-superconductor phase transition in quantum many-body system. Using fermionic cluster expansion and constructive renormalization theory we prove that phase transition happens in this model when the temperature reaches the critical value Tc, whose expression has been derived rigorously. We also prove that the ground state of this model is not a Fermi liquid in the mathematical precise sense of Salmhofer. I will also talk about the non-Fermi liquid behavior in the Hubbard model on the square lattice.