Winding number order in the Haldane model with interactions

2015/05/02 by Emilio Alba, E Alba, Jiannis Pachos +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Kinetic energy #Observable #Phase transition #Quantum many-body systems #Robustness (evolution) #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #Winding number #cond-mat.quant-gas #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1088/1367-2630/18/3/033022

published as New Journal of Physics 18, 033022 (2016)

arxiv created 2015/05/02 · openalex publication_date 2016/03/11 · arxiv updated 2016/03/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the Haldane model with nearest–neighbor interactions. This model is physically motivated by the associated implementation with ultracold atoms. We show that the topological phase of the interacting model can be characterized by a physically observable winding number. The robustness of this number extends well beyond the topological insulator phase towards attractive and repulsive interactions that are comparable to the kinetic energy scale of the model. We identify and characterize the relevant phases of the model as a function of the interaction strength.

Citations

• Introduction to Topological Quantum Computation
• Spin Gaps in a Frustrated Heisenberg Model forCaV4O9
• Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective
• The fractional quantum Hall effect
• The Solid Angle of a Plane Triangle
• Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
• Topological Insulators
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Non-Abelian anyons and topological quantum computation
• The density-matrix renormalization group

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• Diagnosing Topological Edge States via Entanglement Monogamy