CMSA Quantum Matter in Mathematics and Physics: Solvable Lattice Hamiltonians with Fractional Hall Conductivity


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July 8, 2021 8:00 pm - 9:30 pm
via Zoom Video Conferencing

Jing-Yuan Chen - Tsinghua IAS

We construct a class of bosonic lattice Hamiltonians that exhibit fractional Hall conductivity. These Hamiltonians, while not being exactly solvable, can be reliably solved in their low energy sectors through a combination of perturbative and exact techniques. Our construction demonstrates a systematic way to circumvent the Kapustin-Fidkowski no-go theorem, and is applicable to more general cases including fermionic ones.

References: Zhaoyu Han and Jing-Yuan Chen, [2107.0xxxx] Jing-Yuan Chen, [1902.06756].