We propose the lattice QCD calculation of the Berry phase, which is defined by the ground state of a single fermion. We perform the ground-state projection of a single-fermion propagator, construct the Berry link variable on a momentum-space lattice, and calculate the Berry phase. As the first application, the first Chern number of the ($2+1$)-dimensional Wilson fermion is calculated by the Monte Carlo simulation.

• Received 1 May 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.052001