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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
Time：14:00-15:00, Monday, January 29, 2023
地点：www.3700.COm威尼斯云谷校区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.
