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