## Emergent Geometry of "flux attachment" in the Fractional Quantum Hall Effect

講者 : Prof. F. Duncan M. Haldane (2016年諾貝爾物理學獎，Princeton University)

主持人：中研院物理所 李定國院士

時 間：108年1月15日（星期二）上午11:00-12:30

地 點：中研院物理所1樓演講廳

摘要：Most of our theoretical understanding of the topologically-ordered fractional quantum Hall (FQH) states derives from the remarkable model wavefunctions discovered by Laughlin, which explicitly exhibit "flux attachment". What has perhaps long been missing is a detailed understanding of why these wavefunctions work so well, and of the energetics that causes "flux attachment” to occur in a partially-filled Landau level. I will describe a simple physical and geometrical analogy between the incompressible quantum liquid FQH states and quantum solids, in which the "composite boson", that forms by "flux attachment” and condenses, is the analog of the unit cell of the quantum solid, and how the apparently-competing "composite boson" and "composite fermion" pictures are related.