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An Ising model on a 3D honeycomb zigzag-ladder lattice : a solution to the ground-state problem

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Dublenych, Yuriy and Petrenko, Oleg (2022) An Ising model on a 3D honeycomb zigzag-ladder lattice : a solution to the ground-state problem. SciPost Physics Core, 5 (3). 047. doi:10.21468/scipostphyscore.5.3.047 ISSN 2666-9366.

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Official URL: https://doi.org/10.21468/scipostphyscore.5.3.047

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Abstract

A complex, seven-parameter ground-state problem for an Ising model on a 3D honeycomb zigzag-ladder lattice, containing two types of magnetic sites, is considered in the presence of an external field using the method of basic rays and basic sets of cluster configurations. It is shown that the geometrical frustration due to the presence of triangle elements leads to the emergence of a large variety of magnetic phases, the majority of which are highly degenerate. The obtained theoretical results are used to elucidate the sequence of phase transitions in the family of rare-earth oxides with a honeycomb zigzag-ladder lattice. New phases predicted by our model and observed experimentally do not appear in previously considered simpler models for noninteracting zigzag-ladders.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Q Science > QD Chemistry
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
SWORD Depositor: Library Publications Router
Library of Congress Subject Headings (LCSH): Rare earths -- Magnetic properties , Lattice theory , Ising model
Journal or Publication Title: SciPost Physics Core
Publisher: SciPost
ISSN: 2666-9366
Official Date: 30 September 2022
Dates:
DateEvent
30 September 2022Published
11 August 2022Accepted
Volume: 5
Number: 3
Number of Pages: 30
Article Number: 047
DOI: 10.21468/scipostphyscore.5.3.047
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 28 November 2022
Date of first compliant Open Access: 29 November 2022
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDMax Planck Institute for Dynamics of Complex Technical Systems Magdeburghttp://dx.doi.org/10.13039/501100012319
UNSPECIFIEDUniversity of Warwickhttp://dx.doi.org/10.13039/501100000741

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