BIMSA > Category and Topological Order Seminar Solvable Lattice Hamiltonians with Fractional Hall Conductivity
Solvable Lattice Hamiltonians with Fractional Hall Conductivity
Organizer
Hao Zheng
Speaker
Jingyuan Chen
Time
Friday, November 19, 2021 3:30 PM - 5:00 PM
Venue
1131
Online
Tencent 877 714 589 ()
Abstract
We construct a class of bosonic lattice Hamiltonians that exhibit fractional Hall conductivity. These Hamiltonians, while not being exactly solvable, can be controllably 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 generalizable to fermionic abelian topological orders coupled to a spin-c background. We hope this work can shed light on the study of more general symmetry enriched topological orders with symmetry protected gapless boundary. Zhaoyu Han and Jing-Yuan Chen, [2107.02817]; Jing-Yuan Chen, [1902.06756]