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Colloquium: Fractional quantum Hall effect and composite fermions: Magical beauty of emergence

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Jainendra Jain, The Pennsylvania State University
When
28 September 2017 from 4:00 PM to 5:00 PM
Where
117 Osmond Laboratory
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It is perhaps surprising that we can make any progress at all in understanding the behavior of a collection of a large number of interacting particles, given that even the problem of three interacting particles resists exact solution. The trick is to guess, guided by experiment, the emergent principles. This talk concerns the phenomenon of the fractional quantum Hall effect (FQHE), the most strongly correlated state found in nature. I will begin with a pedagogical introduction to the understanding of its physics in terms of emergent topological particles called composite fermions. I shall then report on recent progress on three old problems in FQHE: Density functional theory of the FQHE [1]; Landau level mixing and particle hole symmetry breaking in spin polarization phase transitions [2]; and formulating wave functions of composite fermions in the torus geometry [3].

 

[1] J. Zhao, M. Thakurathi, M. Jain, D. Sen, JKJ, PRL 2017.

[2] Y. Zhang, A. Wojs, JKJ, PRL 2016; Y. Zhang, J. K. Jain, J. P. Eisenstein, PRB 2017.

[3] S. Pu, Y.H.Wu and JKJ, preprint.

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