Lattice QCD simulation of the Berry curvature

Abstract

The Berry curvature is a fundamental concept describing topological order of quantum systems. While it can be analytically tractable in non-interacting systems, numerical simulations are necessary in interacting systems. We present a formulation to calculate the Berry curvature in lattice QCD.

arXiv commentTalk given at 34th annual International Symposium on Lattice Field Theory (LATTICE2016)

References in corpus (6)

• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Berry phase in lattice QCD