2021
DOI: 10.1016/j.jmmm.2021.168151
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Phase transitions in the Ising antiferromagnet on the frustrated honeycomb lattice

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Cited by 10 publications
(4 citation statements)
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“…In particular, with the increasing frustration due to increasing |J 2 | the transition temperature gradually decreases down to zero at R = −1/4. A possible crossover to the first-order behavior was suggested by the EFT (Bobák et al 2016) but not confirmed by either MC ( Žukovič 2021) or CMF (Schmidt and Godoy 2021).…”
Section: Introductionmentioning
confidence: 93%
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“…In particular, with the increasing frustration due to increasing |J 2 | the transition temperature gradually decreases down to zero at R = −1/4. A possible crossover to the first-order behavior was suggested by the EFT (Bobák et al 2016) but not confirmed by either MC ( Žukovič 2021) or CMF (Schmidt and Godoy 2021).…”
Section: Introductionmentioning
confidence: 93%
“…This frustrated model is also interesting from the experimental point of view, since it can be applied to some real materials (Matsuda et al 2010;Tsirlin et al 2010). The ground state of the J 1 − J 2 Ising model was investigated in some earlier papers (Houtappel 1950;Kudō and Katsura 1976;Katsura et al 1986) but its critical behavior was studied only recently by the effective field theory (EFT) (Bobák et al 2016), the MC simulation ( Žukovič et al 2020; Žukovič 2021), cluster mean-field (CMF) (Schmidt and Godoy 2021) and machine learning (ML) (Corte et al 2021;Acevedo et al 2021) approaches. For smaller degree of frustration, namely within the interval −1/4 < R < 0, the critical behavior resembles that for the square lattice.…”
Section: Introductionmentioning
confidence: 99%
“…In particular, with the increasing frustration due to increasing |J 2 | the transition temperature gradually decreases down to zero at R = −1/4. A possible crossover to the first-order behavior was suggested by the EFT (Bobák et al 2016) but not confirmed by either MC ( Žukovič 2021) or CMF (Schmidt and Godoy 2021).…”
Section: Introductionmentioning
confidence: 93%
“…This frustrated model is also interesting from the experimental point of view, since it can be applied to some real materials (Matsuda et al 2010;Tsirlin et al 2010). The ground state of the J 1 − J 2 Ising model was investigated in some earlier papers (Houtappel 1950;Kudō and Katsura 1976;Katsura et al 1986) but its critical behavior was studied only recently by the effective field theory (EFT) (Bobák et al 2016), the MC simulation ( Žukovič et al 2020; Žukovič 2021), cluster mean-field (CMF) (Schmidt and Godoy 2021) and machine learning (ML) (Corte et al 2021;Acevedo et al 2021) approaches. For smaller degree of frustration, namely within the interval −1/4 < R < 0, the critical behavior resembles that for the square lattice.…”
Section: Introductionmentioning
confidence: 99%