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.
Highlights
Ultracold atoms trapped in optical lattices allow the simulation of rich physical models that cannot be recreated in solid state materials [1, 2]
In this work we study the topological phases of the Haldane model with spin 1/2 fermions for a broad range of on-site interactions using two methods: (i) a mean-field approach in momentum space that effectively takes into account long-range correlations and (ii) a matrix product state (MPS) ansatz in a 2D lattice [29, 30] with 2 × 32 sites
In this work we have studied the topological phase diagram of a topological insulator (TI) with spin–spin on-site interactions
Summary
Ultracold atom experiments allow the study of topological insulators, such as the non-interacting licence. In this work we study a generalization of the Haldane model with spin–spin on-site. Any further distribution of this work must maintain interactions that can be implemented on such experiments. We focus on measuring the winding attribution to the number, a topological invariant, of the ground state, which we compute using a mean-field calculation author(s) and the title of the work, journal citation that effectively captures long-range correlations and a matrix product state computation in a lattice and DOI. We 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
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