Hamiltonian theory of fractionally filled chern bands

Ganpathy Murthy

University of Kentucky, Physics & Astronomy, Lexington, USA

I will show that the ideas of composite bosons/fermions that were so useful in the continuum FQHE can also be applied to fractionally filled Chern bands. The key is to use an algebraically exact operator-based approach, which was developed in the late 90's by the author and R. Shankar. This approach allows the computation of gaps, response functions, and temperature-dependence.

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