Many-body Fu-Kane-Mele index
Mathematical Physics
2024-11-14 v2 math.MP
Quantum Physics
Abstract
We define a -valued index for stably short-range entangled states of two-dimensional fermionic lattice systems with charge conservation and time reversal symmetry. The index takes its non-trivial value precisely if the `fluxon', the state obtained by inserting a -flux through the system, transforms under time reversal as part of a Kramers pair. This index extends the Fu-Kane-Mele index of free fermionic topological insulators to interacting systems.
Cite
@article{arxiv.2406.19463,
title = {Many-body Fu-Kane-Mele index},
author = {Sven Bachmann and Alex Bols and Mahsa Rahnama},
journal= {arXiv preprint arXiv:2406.19463},
year = {2024}
}
Comments
v1 --> v2: Equivalence with non-interacting case refined and extended