BIMSA > Category and Topological Order Seminar 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]