Exotic entanglement scaling of Heisenberg antiferromagnet on honeycomb lattice

Cheng Peng, Shi-Ju Ran (), Maciej Lewenstein and Gang Su ()
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Cheng Peng: Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physical Sciences, University of Chinese Academy of Sciences
Shi-Ju Ran: Capital Normal University
Maciej Lewenstein: ICFO – Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology
Gang Su: Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physical Sciences, University of Chinese Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 10, 1-6

Abstract: 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.

Keywords: Computational; Methods (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1140/epjb/e2018-90197-2

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