Many-body Fu-Kane-Mele index
- URL: http://arxiv.org/abs/2406.19463v2
- Date: Tue, 12 Nov 2024 22:54:18 GMT
- Title: Many-body Fu-Kane-Mele index
- Authors: Sven Bachmann, Alex Bols, Mahsa Rahnama,
- Abstract summary: 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 fermionic topological insulators to interacting systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 fermionic topological insulators to interacting systems.
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