Strange layer structure of dipolar spins formed on the spin-ice lattice

Yonetani, Yoshiteru

doi:10.1016/j.cplett.2023.140406

Cited by 3 publications

(6 citation statements)

References 26 publications

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“…The winding of G K (R) becomes more significant as the cutoff length increases. Though such a trend has been observed in our previous study [16] for r c = 2.0-5.0, we verified here that it holds over a broad range of cutoff length up to r c = 15.0 (figure 7).…”

Section: Distance-dependent Kirkwood Factor G K (R)supporting

confidence: 80%

“…Figure 2 shows the result with the 4 × 4 × 4 system. This system was investigated in our previous study [16], but here we carried out the calculations again to reduce the statistical error due to metastable states. The potential energy as a function of temperature (figure 2(a)) exhibited jumps around T ∼ 0.5-0.9, indicating existence of a phase transition.…”

Section: Results For the 4 × 4 × 4 Systemmentioning

confidence: 99%

“…To this end, we carried out MC simulations of dipolar spins arranged on a spin-ice lattice. Recently, we reported a preliminary result on a small system consisting of 4 × 4 × 4 unit cells [16]. In the present study, we carried out MC simulations for larger systems, 8 × 8 × 8 and 12 × 12 × 12.…”

Section: Introductionmentioning

confidence: 88%

“…Thus, the 4 × 4 × 4, 8 × 8 × 8 and 12 × 12 × 12 systems include 1024, 8192 and 26 748 spins, respectively. Though the 4 × 4 × 4 system has been calculated previously [16], the others were not. For each system, the three-dimensional periodic boundary condition was imposed.…”

Section: Simulationmentioning

confidence: 99%

“…Recently, we explored mechanism of the cutoff-induced layer formation using a more fundamental model [16], performing Monte Carlo (MC) simulations for dipolar spins arranged on a pyrochlore lattice. The result reproduced similar features to the water case.…”

Section: Introductionmentioning

confidence: 99%

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Unsolved problem of long-range interactions: dipolar spin-ice study

Yonetani

2024

J. Phys.: Condens. Matter

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Long-range interactions derive various strange phenomena. As illustrated by cutoff simulations of water, increasing cutoff length does not improve the simulation result necessarily; on the contrary, it makes the result worse. In the extreme situation, the structure of water transforms into a layer structure. In this study, to explore the underlying mechanism of this phenomenon, we performed Monte Carlo simulations on dipolar spins arranged on a pyrochlore spin-ice lattice. Like the water case, the present dipolar spin system also showed cutoff-induced dipole ordering and layer formation. The width of the layers depended on the cutoff length; and longer cutoff length led to a broader layer. These features are certainly consistent with the previous water case. This indicates that layer formation is the general behavior of dipolar systems whose interactions are truncated within a finite distance. The result is important for future exploration of the relationship between long-range interactions and resulting structures. In addition, it emphasizes the necessity of rigorous treatment of long-range interactions because increasing the cutoff length prevents convergence and provides an entirely different result from the rigorous Ewald calculation.

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Section: Distance-dependent Kirkwood Factor G K (R)supporting

confidence: 80%

Section: Results For the 4 × 4 × 4 Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 88%

Section: Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unsolved problem of long-range interactions: dipolar spin-ice study

Yonetani

2024

J. Phys.: Condens. Matter

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Various Ordered States in Heisenberg FCC Antiferromagnets with Dipole–Dipole Interactions

Yokota

2022

J. Phys. Soc. Jpn.

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Classical Heisenberg model with both a nearest-neighbor antiferromagnetic interaction and long-range dipole-dipole interactions is investigated by numerically solving the Landau-Lifshitz (LL) equation. The ground state of the model without the dipole-dipole interactions is known to be a classical spin liquid and the system does not order at all temperature because of strong frustration. On the other hand, the ordered state of the model with weak dipolar interactions is known to be the so-called Palmer-Chalker (PC) state, in which a pair of spins and another pair of spins are antiparallel and the former is perpendicular to the latter for each tetrahedron of the lattice. Here ordered states of the model are obtained for various values of the relative strength of the two kinds of the interactions. Besides the spin liquid state and the PC-like state, states that might be considered as glassy state, states of period 8, states of period 4, and states of period of 4 on one sublattice and 8 on other three sublattices are realized. Among the states with period 4 or (and) 8, multi-K structures are observed.

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Ordered States in Heisenberg Pyrochlore Antiferromagnets with Dipole–Dipole Interactions

Yokota

2024

J. Phys. Soc. Jpn.

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Strange layer structure of dipolar spins formed on the spin-ice lattice

Cited by 3 publications

References 26 publications

Unsolved problem of long-range interactions: dipolar spin-ice study

Unsolved problem of long-range interactions: dipolar spin-ice study

Various Ordered States in Heisenberg FCC Antiferromagnets with Dipole–Dipole Interactions

Ordered States in Heisenberg Pyrochlore Antiferromagnets with Dipole–Dipole Interactions

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