Field-selective classical spin liquid and magnetization plateaus on kagome lattice

We obtain a classical spin liquid (CSL) phase by applying a magnetic field in \(J_1\)-\(J_2\)-\(J_3\) Ising model on a kagome lattice. As we proved in the previous study [Phys. Rev. Lett. {\bf 119}, 077207 (2017)], this model realizes one species of CSL, the hexamer CSL, at zero magnetic field, whic...

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Authors: Tokushuku, Kunio, Mizoguchi, Tomonari, Udagawa, Masafumi
Format: Article
Language:English
Subjects:
Ising model
Kagome lattice
Magnetic fields
Magnetism
Magnetization
Spin liquid
Superstructures
Trimers
Online Access:Get full text
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Summary:We obtain a classical spin liquid (CSL) phase by applying a magnetic field in \(J_1\)-\(J_2\)-\(J_3\) Ising model on a kagome lattice. As we proved in the previous study [Phys. Rev. Lett. {\bf 119}, 077207 (2017)], this model realizes one species of CSL, the hexamer CSL, at zero magnetic field, which consists of macroscopically degenerate spin configurations with mixed total magnetization, \(M\). The magnetic field selects its subset, which can be mapped to a trimer covering of the dual lattice, and forms a magnetization plateau of \(M=1/9\). In addition to this CSL, we find two other magnetization plateaus at \(M=5/9\) and \(17/27\), which are ascribed to the "multimer" superstructures on a dual lattice.
ISSN:2331-8422
DOI:10.48550/arxiv.2003.03594