We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the long-range Coulomb interaction. The direct computation of the Chern number shows the electron-electron interaction modifies or extinguishes topological phase transitions.
@article{arxiv.1610.02154,
title = {Quantum Monte Carlo simulation of topological phase transitions},
author = {Arata Yamamoto and Taro Kimura},
journal= {arXiv preprint arXiv:1610.02154},
year = {2016}
}