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I shall introduce in this talk a family of exactly solvable BCS-Hubbard type model in arbitrary dimensions. In its simplest form, the model describes a p-wave BCS superconductor with equal spin pairing moving on a bipartite (cubic, square, etc.) lattice with on-site Hubbard interaction U. The model becomes exactly solvable for arbitrary U when the BCS pairing amplitude Δ equals the hopping amplitude t. The general properties of these models will be discussed.
Professor Ng Tai Kai is internationally recognised for his distinguished contribution to the understanding of Strongly-Correlated Condensed Matter Physics system. He is a fellow of the American Physical Society and a Croucher Foundation Senior research fellow (Hong Kong). However his interest is considerably broader. From 2014-2020, he has been the Executive Director of the Hong Kong Academy for Gifted Education (HKAGE), under the Hong Kong Government (Education Bureau). The Academy is directed at the needs of gifted students with the aim to enable the students to realise their potential in both academic and non-academic domains. He has now returned to HKUST as a Chair Professor. Besides his university duties, he is now the Chairman of the Committee on STEM Education, Curriculum Development Council - the committee is responsible for designing and overseeing the development of STEM education in Hong Kong.