Elevated effective dimension in tree-like nanomagnetic Cayley structures

Saccone, Michael; Hofhuis, Kevin; Bracher, David; Kleibert, Armin; Dijken, Sebastiaan van; Farhan, Alan

doi:10.1039/c9nr07510k

Cited by 13 publications

(11 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1(b)], and 600 nm allows direct control and manipulation of competing dipolar interactions [63]. In accordance with previous work [63,[66][67][68], the thickness and overall dimensions of the nanoislands were chosen to result in a blocking temperature (temperature at which thermally induced moment reorientations occur at a time scale 042129-7 of a few seconds) around 130 K. Each nanoisland is small enough, to be in the monodomain state, and elongated, so that magnetic moments can only point in one of two possible directions along the long axis of a given nanoisland. Thus, each nanoisland represents a single Ising macrospin.…”

Section: Resultssupporting

confidence: 88%

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

et al. 2021

Self Cite

View full text Add to dashboard Cite

To investigate the influence of geometric frustration on the properties of low-energy configurations of systems of ferromagnetic nanoislands located on the edges of the Cairo lattice, the model of interacting Ising-like magnetic dipoles is used. By the method of complete enumeration, the densities of states of the Cairo pentagonal lattices of a finite number of Ising-like point dipoles are calculated. The calculated ground and low-energy states for systems with a small number of dipoles can be used to solve the problem of searching for the ground states in a system with a relatively large number of dipoles. It is shown that the ground-state energy of the Cairo pentagonal lattices exhibits nonmonotonic behavior on one of the lattice parameters. The lattice parameters can be used to control the degree of geometric frustration. For the studied lattices of a finite number of Ising dipoles on the Cairo lattice in the ground-state configurations, a number of closed pentagons is observed, which are different from the obtained maximum closed pentagons. The magnetic order in the ground-state configurations obeys the ice rule and the quasi-ice rules.

show abstract

Section: Resultssupporting

confidence: 88%

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…Artificial frustrated spin systems comprising monodomain Ising-type nanomagnets lithographically arranged onto a variety of two-dimensional lattices enable direct visualization of geometrical spin frustration and its fascinating consequences. Prominent examples, among others [1,2], include emergent magnetic monopoles in macroscopically degenerate artificial spin ice [3,4], vertex frustration [5][6][7], polaronic states [6,8], field-induced phase coexistence [9], topological frustration [10,11], and the first steps towards artificial spin glasses [12,13]. Proposed applications range from user-defined writing and manipulation of magnetic configurations [14,15] to reconfigurable magnonic band structures [16].…”

mentioning

confidence: 99%

Geometrical Frustration and Planar Triangular Antiferromagnetism in Quasi-Three-Dimensional Artificial Spin Architecture

et al. 2020

Self Cite

View full text Add to dashboard Cite

We present a realization of highly frustrated planar triangular antiferromagnetism achieved in a quasi-three-dimensional artificial spin system consisting of monodomain Ising-type nanomagnets lithographically arranged onto a deep-etched silicon substrate. We demonstrate how the three-dimensional spin architecture results in the first direct observation of long-range ordered planar triangular antiferromagnetism, in addition to a highly disordered phase with short-range correlations, once competing interactions are perfectly tuned. Our work demonstrates how escaping two-dimensional restrictions can lead to new types of magnetically frustrated metamaterials.

show abstract

“…by integrating leaves of a tree out. Spin ice models on a tree have been recently investigated experimentally [37] and thus this subject is of direct practical relevance.…”

Section: Introductionmentioning

confidence: 99%

Some exactly solvable and tunable frustrated spin models

Caravelli

2022

Preprint

View full text Add to dashboard Cite

We discuss three exactly solvable spin models of geometric frustration. First, we discuss a 1-parameter subfamily of the 16 vertex model, which can be mapped to a planar Ising model and solved via Fisher-Dubedát decorations. We then consider a 1-parameter family generalization of the Villain's fully frustrated model, which interpolates between Onsager's 2D Ising model and the Villain one. We then discuss spin ice models on a tree, which can be solved exactly using recursions a lá Bethe.

show abstract

Elevated effective dimension in tree-like nanomagnetic Cayley structures

Abstract: Tree like interaction structures increase effective dimension in this significant step towards the first ever artificial spin glass system.

Cited by 13 publications

References 40 publications

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

Low-energy states, ground states, and variable frustrations of the finite-size dipolar Cairo lattices

Geometrical Frustration and Planar Triangular Antiferromagnetism in Quasi-Three-Dimensional Artificial Spin Architecture

Some exactly solvable and tunable frustrated spin models

Contact Info

Product

Resources

About