# Emergent Bloch Excitations in Mott Matter

## TL;DR

This paper presents a unified theoretical framework for understanding excitations in Mott insulators, revealing emergent Bloch-like features and a topological transition at the Mott point, with implications for modeling strongly correlated materials.

## Contribution

It introduces a non-perturbative, unified picture of excitations in Mott systems, connecting quasiparticles and Hubbard bands within an emergent Fermi liquid framework.

## Key findings

- Incoherent excitations exhibit well-defined Bloch character.
- The Mott transition is a topological change in dispersing bands.
- The variational approach yields quantitatively accurate results.

## Abstract

We develop a unified theoretical picture for excitations in Mott systems, portraying both the heavy quasiparticle excitations and the Hubbard bands as features of an emergent Fermi liquid state formed in an extended Hilbert space, which is non-perturbatively connected to the physical system. This observation sheds light on the fact that even the incoherent excitations in strongly correlated matter often display a well defined Bloch character, with pronounced momentum dispersion. Furthermore, it indicates that the Mott point can be viewed as a topological transition, where the number of distinct dispersing bands displays a sudden change at the critical point. Our results, obtained from an appropriate variational principle, display also remarkable quantitative accuracy. This opens an exciting avenue for fast realistic modeling of strongly correlated materials.