Solvable Lattice Hamiltonians with Fractional Hall Conductivity
Strongly Correlated Electrons
2022-08-09 v3
Abstract
We construct a class of 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.
Cite
@article{arxiv.2107.02817,
title = {Solvable Lattice Hamiltonians with Fractional Hall Conductivity},
author = {Zhaoyu Han and Jing-Yuan Chen},
journal= {arXiv preprint arXiv:2107.02817},
year = {2022}
}
Comments
24 pages, published version