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Exotic entanglement scaling of Heisenberg antiferromagnet on honeycomb lattice

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Abstract

The scaling behaviors of entanglement entropy (EE) against dimension cut-off of density matrix renormalization group (DMRG) in an anisotropic Heisenberg model on honeycomb lattice are investigated. In the gapped dimer phase, the entanglement spectrum (ES) exhibits large gaps and the EE shows an unexpected linear scaling before convergence. In contrast in the gapless Néel phase, the ES decays in a much smoother way, and the EE scales logarithmically. Our calculations show that the linear scaling in the dimer phase originates from one dominant Schmidt number plus n (nearly) degenerate Schmidt numbers that are much smaller than the dominant one. The non-trivial entanglement-scaling properties of the dimer and Néel phases could potentially be used for their detections.

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Authors and Affiliations

  1. Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, P.R. China

    Cheng Peng & Gang Su

  2. Department of Physics, Capital Normal University, Beijing, 100048, P.R. China

    Shi-Ju Ran

  3. ICFO – Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860, Castelldefels, Barcelona, Spain

    Shi-Ju Ran & Maciej Lewenstein

  4. ICREA, Pg. Lluís Companys 23, 08010, Barcelona, Spain

    Maciej Lewenstein

  5. Kavli Institute for Theoretical Sciences, CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing, 100190, P.R. China

    Gang Su

Authors
  1. Cheng Peng
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  2. Shi-Ju Ran
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  3. Maciej Lewenstein
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  4. Gang Su
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Correspondence to Shi-Ju Ran or Gang Su.

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Peng, C., Ran, SJ., Lewenstein, M. et al. Exotic entanglement scaling of Heisenberg antiferromagnet on honeycomb lattice. Eur. Phys. J. B 91, 258 (2018). https://doi.org/10.1140/epjb/e2018-90197-2

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  • DOI: https://doi.org/10.1140/epjb/e2018-90197-2

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