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Quantum entanglement in the one-dimensional Rice–Mele and two-dimensional Qi-Wu-Zhang model

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  • Lima, L.S.

Abstract

The quantum entanglement is studied in the neighborhood of a topological transition in some topological insulators models such as the two-dimensional Qi-Wu-Zhang model or Chern insulator. The system describes electrons hopping in two-dimensional chains. For one-dimensional model case, one have staggered hopping amplitudes. Our results show a strong effect of sudden variation of the topological charge Q in the neighborhood of phase transition on quantum entanglement for all cases analyzed.

Suggested Citation

  • Lima, L.S., 2020. "Quantum entanglement in the one-dimensional Rice–Mele and two-dimensional Qi-Wu-Zhang model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
  • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321156
    DOI: 10.1016/j.physa.2019.123800
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    1. Defever, Fabrice & Imbruno, Michele & Kneller, Richard, 2020. "Trade liberalization, input intermediaries and firm productivity: Evidence from China," Journal of International Economics, Elsevier, vol. 126(C).
    2. Spyros Galanis, 2021. "Speculative trade and the value of public information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 53-68, February.
    3. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    4. Paul Levine & Joseph Pearlman & Stephen Wright & Bo Yang, 2019. "Information, VARs and DSGE Models," School of Economics Discussion Papers 1619, School of Economics, University of Surrey.
    5. Mamageishvili, A. & Schlegel, J. C., 2019. "Optimal Smart Contracts with Costly Verification," Working Papers 19/13, Department of Economics, City University London.
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    Keywords

    Topological insulator models; Entanglement;

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