Absence of long-range order in a general spin-S kagome lattice Ising antiferromagnet

Semjan, M.; Žukovič, M.

doi:10.1016/j.physleta.2020.126615

Cited by 6 publications

(1 citation statement)

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“…[1]. It is worth to note that the presence of a round maximum on the specific heat is often pointed as a signature of strong frustration and is found in several frustrated spin systems [34][35][36]. The absence of these anomalies suggests that the competing interactions are unable to introduce strong frustration effects on the J 1 -J 2 Ising model on the bcc lattice.…”

Section: Resultsmentioning

confidence: 99%

The frustrated Ising model on the body-centered cubic lattice

Schmidt,

Kohlrausch,

Zimmer

2021

Preprint

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Recent results for the Ising model with first (J1) and second (J2) neighbour interactions on the body-centered cubic (bcc) lattice suggest that this model can host signatures of strong frustration, including Schottky anomalies and residual entropy, as well as, a spin-liquid-like phase [E. Jurčišinová and M. Jurčišin, Phys. Rev. B, 101 214443 (2020)]. Motivated by these findings, we investigate phase transitions and thermodynamics of this model using a cluster mean-field approach. In this lattice, tuning g = J2/J1 leads to a ground-state transition between antiferromagnetic (AF) and superantiferromagnetic (SAF) phases at the frustration maximum g = 2/3. Although the ordering temperature is reduced as g → 2/3, our findings suggest the absence of any Schottky anomaly and residual entropy, in good agreement with Monte Carlo simulations. We also find a direct transition between AF and SAF phases, ruling out the presence of the spin-liquid-like state. Furthermore, the cluster mean-field outcomes support a scenario with only continuous phase transitions between the paramagnetic state and the low-temperature long-range orders. Therefore, our results indicate the absence of strong frustration effects in the thermodynamics and in the nature of phase transitions, which can be ascribed to the higher dimensionality of the bcc lattice.

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