Studying Thermodynamic Properties of the Ising Model on a Body-Centered Cubic Lattice with Competing Exchange Interactions

Муртазаев, А. К.; Ramazanov, M. K.; Magomedov, M. A.; Kurbanova, D. R.

doi:10.1134/s1063783418090214

Cited by 6 publications

(4 citation statements)

References 22 publications

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“…Furthermore, by comparing the local magnetizations from topologically equivalent sites within the cluster, no indication of an intermediate state was noticed. Therefore, our CMF results suggest that the proposed spin-liquid-like state is not realized in this model, which is in agreement with recent Monte Carlo results [10].…”

Section: Resultssupporting

confidence: 92%

“…[1]. Moreover, our data indicate the absence of signatures of strong frustration, such as a round maximum in the specific heat and residual entropy, in agreement with Monte Carlo results [10].…”

Section: Discussionsupporting

confidence: 89%

“…[1] suggests that the SAF phase exhibits a finite ground-state entropy, which is often related to high levels of frustration. It is worth to note that the SAF ground-state is four-fold degenerate, but no macroscopic degeneracy is expected [2,10]. As shown in Fig 6 (b), the entropy vanishes at zero temperature, confirming the expected absence of residual entropy in the SAF ground-state.…”

Section: Resultsmentioning

confidence: 53%

“…Moreover, a finite zero-temperature entropy for the intermediate and SAF states indicate that the model can host a macroscopically degenerate ground-state. It is worth to note, that these features are absent in previous reports for the thermodynamics of the model [10]. Therefore, further investigations are required to address both the nature of phase transitions and the thermodynamics of the model, specially near g = 2/3.…”

Section: Introductionmentioning

confidence: 88%

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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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Section: Resultssupporting

confidence: 92%

Section: Discussionsupporting

confidence: 89%