Investigation of bipartite entanglement across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain as a new paradigm of the localized-magnon approach

¹ Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University Park Angelinum 9, 040 01 Košice, Slovak Republic
² Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine Svientsitskii Street 1, 79011 L'viv, Ukraine
³ Institut für Physik, Otto- von-Guericke-Universität Magdeburg - P.O. Box 4120, 39016 Magdeburg, Germany
⁴ Max- Planck-Institut für Physik komplexer Systeme - Nöthnitzer Straße 38, 01187 Dresden, Germany

Received: 14 September 2020
Accepted: 20 October 2020

Abstract

The bipartite entanglement across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain is examined within the concept of localized magnons, which enables a simple calculation of the concurrence measuring a strength of the pairwise entanglement between nearest-neighbor and next-nearest-neighbor spins from square plaquettes. A full exact diagonalization of the finite-size Heisenberg octahedral chain with up to 4 unit cells (20 spins) evidences an extraordinary high precision of the localized-magnon theory in predicting measures of the bipartite entanglement at sufficiently low temperatures. While the monomer-tetramer phase emergent at low enough magnetic fields exhibits presence (absence) of the bipartite entanglement between the nearest-neighbor (next-nearest-neighbor) spins, the magnon-crystal phase emergent below the saturation field contrarily displays identical bipartite entanglement between the nearest-neighbor and next-nearest-neighbor spins. The presented results verify a new paradigm of the localized-magnon approach concerned with a simple calculation of entanglement measures.