Bosonic Dirac materials on a honeycomb antiferromagnetic Ising model

•The Bosonic Dirac points have been studied by LSWT and EFT.•Phase diagram for zero and non-zero temperature are given.•The effects of disorder and impurities have been obtained. Motivated by the recent proposal of Bosonic Dirac materials (BDM), we revisited the Ising model on a honeycomb lattice in...

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Bibliographic Details
Published inJournal of magnetism and magnetic materials Vol. 505; p. 166743
Main Authors Griffith, M.A.R., Rufo, S., Neto, Minos A.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.07.2020
Elsevier BV
Subjects
Antiferromagnetism
Field theory
Ising model
Magnons
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Summary:•The Bosonic Dirac points have been studied by LSWT and EFT.•Phase diagram for zero and non-zero temperature are given.•The effects of disorder and impurities have been obtained. Motivated by the recent proposal of Bosonic Dirac materials (BDM), we revisited the Ising model on a honeycomb lattice in the presence of the longitudinal and transverse fields. We applied linear spin-wave theory to obtain the magnon dispersion and its Bosonic Dirac points (BDP). At the vicinity of these BDP, the magnon spectrum becomes linear and its crossing bands are robust against a weak impurity, exactly as occur in the fermionic case. We studied the influence of a weak disorder potential over the dispersive edge states and the BDP. Also, using Effective Field Theory, we calculated the quantum and thermal fluctuations over the ground state of the system. The fine-tuning of the fields reveals to control the localization of the BDP. To verify this experimentally, we suggest the compound Ba2CoTeO6.
ISSN:0304-8853
1873-4766
DOI:10.1016/j.jmmm.2020.166743