# Dynamical Generation of Topological Masses in Dirac Fermions

## TL;DR

This paper reports the first unbiased large-scale numerical evidence of a topological Mott insulator in strongly-correlated Dirac semimetals, showing interaction-driven topological mass generation and a quantum phase transition in the (2+1)D N=8 chiral Ising class.

## Contribution

It provides the first unbiased numerical demonstration of a topological Mott insulator in Dirac semimetals with interactions mediated by Ising spins, revealing a dynamical topological mass generation.

## Key findings

- Topological mass term is dynamically generated.
- Quantum phase transition belongs to (2+1)D N=8 chiral Ising universality class.
- Large scale sign-free quantum Monte Carlo simulations confirm the results.

## Abstract

We report discovery of a topological Mott insulator in strongly-correlated Dirac semimetals. Such an interaction-driven topological state has been theoretically proposed but not yet observed with unbiased large scale numerical simulations. In our model, interactions between electrons are mediated by Ising spins in a transverse field. The results indicate that the topological mass term is dynamically generated and the resulting quantum phase transition belongs to the (2+1)D $N=8$ chiral Ising universality class. These conclusions stem from large scale sign free quantum Monte Carlo simulations.