Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings

Abstract

Despite their simple formulation, short range classical antiferromagnetic Ising models on frustrated lattices give rise to exotic phases of matter, in particular due to their macroscopic ground state degeneracy. Recent experiments on artificial spin systems comprising arrays of chirally coupled nanomagnets provide a significant strengthening of the nearest neighbour couplings compared to systems with dipolar-coupled nanomagnets. This opens the way to design artificial spin systems emulating Ising models with nearest neighbour couplings. In this paper, we compare the results of an extensive investigation with tensor network and Monte Carlo simulations of the nearest- and further-neighbour ($J_1-J_2-J_{3||}$) kagome Ising antiferromagnet with the experimental spin-spin correlations of a kagome lattice of chirally coupled nanomagnets. Even though the ratios between the further neighbour couplings and the nearest neighbour coupling estimated from micromagnetic simulations are much smaller than for dipolar-coupled nanomagnets, we show that they still play an essential role in the selection of the correlations.

27 pages, 33 figures. v3: Corrected two typos: frequency in the demagnetisation protocol, thickness of the unit cell in the micromagnetic simulations

References in corpus (19)

• The density-matrix renormalization group in the age of matrix product states
• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Tensor renormalization group approach to 2D classical lattice models
• Extensive degeneracy, Coulomb phase and magnetic monopoles in an artificial realization of the square ice model
• Artificial square ice and related dipolar nanoarrays
• Theory of the [111] magnetization plateau in spin ice
• Artificial Kagome Arrays of Nanomagnets: A Frozen Dipolar Spin Ice
• Energy minimization and AC demagnetization in a nanomagnet array
• Tropical Tensor Network for Ground States of Spin Glasses
• Non-universality of artificial frustrated spin systems
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Sub-nanosecond signal propagation in anisotropy engineered nanomagnetic logic chains
• Solving frustrated Ising models using tensor networks
• Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted Kagomé lattice
• Field-tunable interactions and frustration in underlayer-mediated artificial spin ice
• Do tensor renormalization group methods work for frustrated spin systems?
• Reservoir Computing with Planar Nanomagnet Arrays
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice

Cited by in corpus (8)

• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Electrically programmable magnetic coupling in an Ising network exploiting solid-state ionic gating
• Unified tensor network theory for frustrated classical spin models in two dimensions
• Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices
• Partial magnetic order in kagome spin ice
• Equivalence of residual entropy of hexagonal and cubic ices from tensor network methods
• Berezinskii-Kosterlitz-Thouless phase transitions of the antiferromagnetic Ising model with ferromagnetic next-nearest-neighbor interactions on the kagome lattice