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<p>In this paper, we analyzed the influence of transition between nontrivial and trivial topological phases on tight binding Haldane-like model in both monolayer and bilayer depleted Lieb lattices. We obtained the behavior of the entanglement negativity as a function of the temperature for different couplings of the system with aim to verify the influence of topological phase transition on entanglement. We got that the effect of gap opening of the spectrum generates a small change in the behavior of the quantum correlation and entanglement. The topological properties of the Haldane-like model on a depleted Lieb lattice, both in monolayer and bilayer configurations, are interesting for exploring topological phases of matter, especially with regard to quantum Hall effects and the role of lattice symmetries.</p>

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Correlations and entanglement in monolayer and bilayer depleted Lieb lattices

  • 期刊论文

  • 发表日期：

    2025年1月6日

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  • L. S. Lima

摘要

In this paper, we analyzed the influence of transition between nontrivial and trivial topological phases on tight binding Haldane-like model in both monolayer and bilayer depleted Lieb lattices. We obtained the behavior of the entanglement negativity as a function of the temperature for different couplings of the system with aim to verify the influence of topological phase transition on entanglement. We got that the effect of gap opening of the spectrum generates a small change in the behavior of the quantum correlation and entanglement. The topological properties of the Haldane-like model on a depleted Lieb lattice, both in monolayer and bilayer configurations, are interesting for exploring topological phases of matter, especially with regard to quantum Hall effects and the role of lattice symmetries.