新闻与活动 活动信息

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

时间

2024年1月29日(周一)
14:00-15:00

地点

E4-233 & ZOOM

主持

理论科学研究院

受众

全体师生

分类

学术与研究

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

时间2024年1月29日(周一)14:00-15:00

Time14:00-15:00, Monday, January 29, 2023

地点:九九九九伊在人线视频云谷校区E4-233

Venue: E4-233, Yungu Campus

ZOOM ID:931 4729 8436

PASSCODE:198770


主讲人/Speaker: Zhituo Wang, Harbin Institute of Technology

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

讲座摘要/Abstract:

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.