Topological phases in the Haldane model with spin–spin on-site interactions. (13th April 2018)

• Record Type: Journal Article
• Authors: Rubio-García, A; García-Ripoll, J J
• Is Part Of: New journal of physics. Volume 20:Number 4(2018:Apr.)
• Publication Date: 2018-04-13
• Subjects: topological insulators -- Hubbard interactions -- Haldane model -- ultracold atoms; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aabb1a
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: Ultracold atom experiments allow the study of topological insulators, such as the non-interacting Haldane model. In this work we study a generalization of the Haldane model with spin–spin on-site interactions that can be implemented on such experiments. We focus on measuring the winding number, a topological invariant, of the ground state, which we compute using a mean-field calculation that effectively captures long-range correlations and a matrix product state computation in a lattice with 64 sites. Our main result is that we show how the topological phases present in the non-interacting model survive until the interactions are comparable to the kinetic energy. We also demonstrate the accuracy of our mean-field approach in efficiently capturing long-range correlations. Based on state-of-the-art ultracold atom experiments, we propose an implementation of our model that can give information about the topological phases.