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Título

Topological phases in the Haldane model with spin¿spin on-site interactions

AutorRubio-García, Álvaro; García-Ripoll, Juan José
Palabras claveHaldane model
Ultracold atoms
Hubbard interactions
Topological insulators
Fecha de publicación13-abr-2018
EditorInstitute of Physics Publishing
CitaciónNew Journal of Physics 20: 043033 (2018)
ResumenUltracold 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.
Descripción9 pags., 6 figs.
Versión del editorhttps://doi.org/10.1088/1367-2630/aabb1a
URIhttp://hdl.handle.net/10261/171066
Identificadoresdoi: 10.1088/1367-2630/aabb1a
issn: 1367-2630
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