Monte Carlo simulations of a kagome lattice with magnetic dipolar interactions

Holden, Mark; Plumer, M. L.; Saika‐Voivod, Ivan; Southern, B. W.

doi:10.1103/physrevb.91.224425

Cited by 19 publications

(23 citation statements)

References 37 publications

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“…[2][3][4][5] and references therein), and, over decades, a number of theoretical studies, based on Renormalization group techniques, has addressed interaction models containing both dipolar and short-range isotropic or anisotropic exchange interactions (see, e.g., Refs [2,[6][7][8][9][10][11]); on the other hand, lattice models involving only the longrange dipolar term have also long been studied by various approaches, including spin-wave treatments and simulation (see, e.g., Refs. [12][13][14][15][16][17][18][19], and others quoted in the following). While the former references have dealt with the resulting critical behavior, including the crossover between isotropic dipolar universality class (when the dipolar term is dominant) and the Heisenberg one (corresponding to nearest-neighbor exchange interactions only), the later ones were mostly focused on the ground state of the magnetically ordered phase; in addition, a survey of relevant rigorous mathematical results can be found in [20].…”

Section: Introductionmentioning

confidence: 96%

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Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions

Chamati

Romano

2016

Phys. Rev. E

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In a previous paper [Phys. Rev. E 90, 022506 (2014)PLEEE81539-375510.1103/PhysRevE.90.022506], we studied the thermodynamic and structural properties of a three-dimensional simple-cubic lattice model with dipolarlike interaction, truncated at nearest-neighbor separation, for which the existence of an ordering transition at finite temperature had been proven mathematically; here we extend our investigation, addressing the full-ranged counterpart of the model, for which the critical behavior had been investigated theoretically and experimentally. In addition, the existence of an ordering transition at finite temperature had been proven mathematically as well. Both models exhibited the same continuously degenerate ground-state configuration, possessing full orientational order with respect to a suitably defined staggered magnetization (polarization), but no nematic second-rank order; in both cases, thermal fluctuations remove the degeneracy, so that nematic order does set in at low but finite temperature via a mechanism of order by disorder. On the other hand, there were recognizable quantitative differences between the two models as for ground-state energy and critical exponent estimates; the latter were found to agree with early renormalization-group calculations and with experimental results.

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Section: Introductionmentioning

confidence: 96%

“…Some similar studies have been published only recently in Refs. [18,19], and have addressed the ground state of a model of pure dipolar interaction considering different types of lattices; the magnetic properties of the ground state were determined for each lattice structure.…”

Section: Introductionmentioning

confidence: 99%

Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions

Chamati

Romano

2016

Phys. Rev. E

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“…The study reported here is limited to the square lattice model and therefore the degeneracy that destroys the ordered state when K = K c arises only from the competition between the interactions. However, in view of recent advances in methods for fabricating ultra-thin films, studies of dynamics in systems with structural frustration will also be of interest (see, e.g., the work by Holden et al [28] and Maksymenko et al [29] and references therein).…”

Section: Summary and Discussionmentioning

confidence: 99%

The role of long relaxation times in a simple model with massless modes

Timmons

De’Bell

2018

Can. J. Phys.

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The next-nearest-neighbour Ising model with competing nearest-neighbour (nn) and next-nearest-neighbour (nnn) interactions, provides an example of a system in which massless modes destroy order at any finite temperature. This occurs only at a critical ratio, Kc, of the nnn and nn interactions. In this paper we investigate the role of long relaxation times in determining the behaviour of the system when the ratio of the nnn and nn interactions, K, is at and close to this critical ratio. Despite the absence of an order–disorder transition in systems with K = Kc, in Monte Carlo simulations reported here the temperature-dependent behaviour of the relaxation times indicates the existence of a glass transition with a glass transition temperature of Tg ≈ 0.26 in a model with nn interaction J = kB = 1.

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“…We now briefly consider the case when MSs are initially oriented to minimize dipolar energy, and make 120 degrees with respect to each other [49]. Fig.…”

Section: B Triangular Order: When the Internal Structure Mattersmentioning

confidence: 99%

Micromagnetic simulations of clusters of nanoparticles with internal structure: Application to magnetic hyperthermia

Behbahani¹,

Plumer²,

Saika‐Voivod³

2021

Preprint

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Micromagnetic simulation results on dynamic hysteresis loops of clusters of iron oxide nanoparticles (NPs) with internal structure composed of nanorods are compared with the widely used macrospin approximation. Such calculations allowing for nanorod-composed NPs is facilitated by a previously developed coarse-graining method based on the renormalization group approach. With a focus on applications to magnetic hyperthermia, we show that magnetostatic interactions improve the heating performance of NPs in chains and triangles, and reduce heating performance in fcc arrangements. Hysteresis loops of triangular and fcc systems of complex NPs are not recovered within the macrospin approximation, especially at smaller interparticle distances. For triangular arrangements, the macrospin approximation predicts that magnetostatic interactions reduce loop area, in contrast to the complex NP case. An investigation of the local hysteresis loops of individual NPs and macrospins in clusters reveals the impact of the geometry of their neighbours on individual versus collective magnetic response, inhomogenous heating within clusters, and further differences between simulating NPs with internal structure and the use of the macrospin approximation. Capturing the internal physical and magnetic structure of NPs is thus important for some applications.

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Monte Carlo simulations of a kagome lattice with magnetic dipolar interactions

Cited by 19 publications

References 37 publications

Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions

Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions

The role of long relaxation times in a simple model with massless modes

Micromagnetic simulations of clusters of nanoparticles with internal structure: Application to magnetic hyperthermia

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