1. Many-body Fu-Kane-Mele index
- Author
-
Bachmann, Sven, Bols, Alex, and Rahnama, Mahsa
- Subjects
Mathematical Physics ,Quantum Physics - Abstract
We define a $\mathbb{Z}_2$-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 $\pi$-flux through the system, transforms under time reversal as part of a Kramers pair. This index extends the Fu-Kane-Mele index of free fermions to interacting systems.
- Published
- 2024